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## The durations of a random sample of 16 commercials are below (in seconds). find the mean, median, and mode of these durations. 30, 12, 26, 7, 14, 35, 20, 30, 55, 8, 35, 18, 42, 15, 30, 10

First arrange in ascending order of time:-

7, 8, 10, 12, 14, 15, 18, 20, 26, 30, 30, 30, 35, 35, 42, 55

MOde is the value occuring mos  = 30.

Median is the mean of 2 middle numbers = (20 + 26) / 2 = 23

Mean = sum of the 16 numbers  / 16  =  387/16  = 24.2

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## The data set shown below represents the number of times some families went out for dinner the previous week. 4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1 Create a dot plot to represent the data. What can you conclude about the dot plot of the data set? Check all that apply. The range of the number line should be 0 to 7 to represent the frequency. Four families said they ate out twice the previous week. One family said they ate out 5 times the previous week. The data set is symmetrical. The median best represents the data set.

The correct options are:

• Four families said they ate out twice the previous week.
• One family said they ate out 5 times the previous week.
• The median best represents the data set.

Step-by-step explanation:

We are given a data set as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

On arranging this data set in the frequency table we get:

Number of times they went for dinner    Number of families

0                                                          2

1                                                           3

2                                                          4

3                                                           1

4                                                           2

5                                                           1

6                                                            1

• Hence, the range of the number line is between 0 to 6.
• Also there are 4 dots above 2.

Hence,  Four families said they ate out twice the previous week.

• Also there is one dot above 5.

Hence,  One family said they ate out 5 times the previous week.

• The data set is not symmetrical since the median is 2 and the data points to the left and to the right do not have symmetry.

Hence, the data set is not symmetrical.

• Also we know that the median of the data is the central tendency of the data and always best represents the data.

Hence, The median best represents the data set.

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## Dominick is planning to take a vacation to either Orlando or Tampa Bay. He wants to go to the city that is warmer, on average. The box plot below shows the temperatures from the previous year during the time that Dominick will take his vacation:Which city should Dominick visit, and why? He should visit Orlando. It has a greater IQR. He should visit Orlando. The median is higher and the range is smaller, so the temperature is higher on average. He should visit Tampa Bay. The highest temperature occurred there. He should visit Tampa Bay. The range is very large, so there is a better chance that any given day will be warm.

Dominick is planning to take a vacation to either Orlando or Tampa Bay. He wants to go to the city that is warmer, on average. The box plot below shows the temperatures from the previous year during the time that Dominick will take his vacation:Which city should Dominick visit, and why? He should visit Orlando. It has a greater IQR. He should visit Orlando. The median is higher and the range is smaller, so the temperature is higher on average. He should visit Tampa Bay. The highest temperature occurred there. He should visit Tampa Bay. The range is very large, so there is a better chance that any given day will be warm.

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## Suppose both the mean and median of the distribution are 6. which of these statements is true about the mode of the distribution

Suppose both the mean and median of the distribution are 6. which of these statements is true about the mode of the distribution

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## PLEASE HELP!!!!!! The Jonas school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table, where Low represents the fewest days attended and High represents the most days attended for a single student. School Low High Range Mean Median IRQ σ High School M 128 180 62 141 160 55.5 41.5 High School N 131 180 49 159 154 48.5 36.5 High School P 140 180 40 153 165 32.5 31.5 Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.

High School P has the most consistent attendance among its students.

School N should be awarded for the highest average attendance.

Step-by-step explanation:

Consider the provided information.

Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically.

Standard deviation (σ) is a measure of how a data set is spread out.

If the standard deviation is low, this implies that the information tends to be near to the set mean, whereas a high standard deviation implies that the information points are spread across a wider spectrum of values.

Therefore, for more consistency we need to look for the low standard deviation.

From the provided table we can see that the school P has low standard deviation (σ) i.e 31.5

Hence, High School P has the most consistent attendance among its students.

Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.

The formula for mean is: Mean is the same as average.

The sum of mean or average will be larger if each students contributes more attendance.

For highest average attendance the school with higher mean should be awarded.

Hence, School N should be awarded for the highest average attendance.

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## Which statement holds true for a skewed histogram showing a distribution of the weights of students in a class? The number of weights on the right side of the mode is equal to the number of weights on the left. The number of weights on the left side of the mean is equal to the number of weights on the right. The mean weight and the median weight will be the same for the distribution. The nature of the skew can be verified by the position of the mean with respect to the median. The nature of the skew can be verified by the position of the mean with respect to the mode.

127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7.

The statement is equivalent to
120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:
n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.
You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

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## James needs to clock a minimum of 9 hours per day at work. The data set records his daily work hours, which vary between 9 hours and 12 hours, for a certain number of days. {9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}. The median number of hours James worked is . The skew of the distribution is

3 hours.

Step-by-step explanation:

Let x be the time taken by shoe repairman to repair one pair.

We have been given that his assistant, who takes twice as long to repair a pair of shoes. So time taken by his assistant to repair one pair of shoes would be 2x.

The number of pair of shoes repaired by repairman in one hour would be .

The number of pair of shoes repaired by assistant in one hour would be .

We have been given that together they can fix 16 pairs of shoes in an eight-hour day. We can represent this information in an equation as:  Let us have a common denominator.    Upon cross multiplying our equation we will get,    Therefore, it take 3 hours for the repairman to fix one pair of shoes by himself.

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## If the basses of an isosceles trapezoid have lengths of 22 and 29 what is the length of the median?

x > 2

Step-by-step explanation:

Here, x represents the length of the poster,

Since, width of the poster is 2 inches shorter than its length,

Width of the poster = ( x – 2 ) inches,

Thus, the area of the poster = length × width,

A = x (x-2)

We know that,

Area of a poster must be greater than zero,

⇒ A > 0,

⇒ x(x-2) > 0

⇒ x > 0 and x-2 > 0

If x – 2 > 0 ⇒ x > 2,

That is, the length of the poster must be greater than 2 inches.

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## A mini-golf course is determining the par score for each of its holes. The dot plot shows the number of strokes required to place a ball in the ninth hole for a sample of 25 players. Which measure of center is best to use to determine the expected number of strokes required for the ninth hole? The mean is the best choice because the data is nearly symmetrical. The median is the best choice because data is clustered. The mean is the best choice because the data is skewed to the right. The median is the best choice because the data is skewed to the left.

Option A – The mean is the best choice because the data is nearly symmetrical.

Step-by-step explanation:

Given : A mini-golf course is determining the par score for each of its holes. The dot plot shows the number of strokes required to place a ball in the ninth hole for a sample of 25 players.

To find : Which measure of center is best to use to determine the expected number of strokes required for the ninth hole?

Solution :

To determine the expected number of strokes required for the ninth hole the best measure of center is the mean of the data as the data is nearly symmetrical about the center point 4 and 5.

We can also find the mean of the data,

Mean is defined as  the sum of observation divided by number of observation.

i.e, Sum of observation is

Referring the dot plot of ninth hole strokes.   Total number of observation n= 25   Therefore, Option A is correct.

The mean is the best choice because the data is nearly symmetrical.

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## PLEASE RESPOND QUICK WITH THE CORRECT ANSWER OR YOU WILL GET REPORTED (08.03)Magdeline wants to know if the number of words on a page in her computer science book is generally more than the number of words on a page in her math book. She takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book. Book Mean Median Mean Absolute Deviation Computer science 48.7 40 9.4 Math 34.2 45 1.9 She claims that because the mean number of words on each page in the computer science book is greater than the mean number of words on each page in the math book, the computer science book has more words per page. Based on the data, is this a valid inference?

Employee                                 Mary      Zoe         Greg         Ann           Tom

Cumulative Pay                       \$6,800   \$10,500  \$8,400    \$66,000   \$4,700

Pay subject to FICA S.S.         \$421.60  \$651.00  \$520.80 \$4092.00 \$291.40
6.2%, (First \$118,000)

Pay subject to FICA Medicare \$98.60 \$152.25    \$121.80    \$957.00    \$68.15
1.45% of gross

Pay subject to FUTA Taxes      \$40.80  \$63.00     \$50.40    \$396.00  \$28.20
0.6%

Pay subject to SUTA Taxes   \$367.20  \$567.00  \$453.60  \$3564.00 \$253.80
5.4% (First \$7000)

Totals                                     \$928.20 \$1,433.25 \$1,146.60 \$9,009.00 \$641.55

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## What is the difference between the mean and the median of the data set? {22, 8, 10 ,18 ,12, 20}

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by Therefore, the distance between the points A(8, 9) and B(x, y) is given by Since, distance between A and B is 10 units, so

d = 10.

Therefore, Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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## Calculate the median 5,10,12,4,6,11,13,5 – AnswersMine

(B)

Step-by-step explanation:

The given data set is:

30, 24, 8, 21, 35, 23, 23, 19, 13, 17

In order to find the median, arrange the given data in ascending order that is

8, 13, 17, 19, 21, 23, 23,24, 30, 35

Now, Median is given as: Thus, the median is 22.

The lower quartile is:

8, 13, 17, 19, 21

The mid data set value is the Lower Quartile, thus the Lower Quartile is 17.

The upper Quartile is:

23, 23,24, 30, 35

The mid data set value is the Upper Quartile, thus the Upper Quartile is 24.

Hence, option B is correct.

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## Find the median, lower quartile, and upper quartile for the given set of data. {30, 24, 8, 21, 35, 23, 23, 19, 13, 17} a. lower quartile = 8, median = 22, upper quartile = 35 b. lower quartile = 17, median = 22, upper quartile = 24 c. lower quartile = 8, median = 21.3, upper quartile = 35 d. lower quartile = 17, median = 21.3, upper quartile = 24

(B)

Step-by-step explanation:

The given data set is:

30, 24, 8, 21, 35, 23, 23, 19, 13, 17

In order to find the median, arrange the given data in ascending order that is

8, 13, 17, 19, 21, 23, 23,24, 30, 35

Now, Median is given as: Thus, the median is 22.

The lower quartile is:

8, 13, 17, 19, 21

The mid data set value is the Lower Quartile, thus the Lower Quartile is 17.

The upper Quartile is:

23, 23,24, 30, 35

The mid data set value is the Upper Quartile, thus the Upper Quartile is 24.

Hence, option B is correct.

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## What is the median bt 135-450

The correct options are:

• Four families said they ate out twice the previous week.
• One family said they ate out 5 times the previous week.
• The median best represents the data set.

Step-by-step explanation:

We are given a data set as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

On arranging this data set in the frequency table we get:

Number of times they went for dinner    Number of families

0                                                          2

1                                                           3

2                                                          4

3                                                           1

4                                                           2

5                                                           1

6                                                            1

• Hence, the range of the number line is between 0 to 6.
• Also there are 4 dots above 2.

Hence,  Four families said they ate out twice the previous week.

• Also there is one dot above 5.

Hence,  One family said they ate out 5 times the previous week.

• The data set is not symmetrical since the median is 2 and the data points to the left and to the right do not have symmetry.

Hence, the data set is not symmetrical.

• Also we know that the median of the data is the central tendency of the data and always best represents the data.

Hence, The median best represents the data set.

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## Find the mean, median, and mode of the data set. round to the nearest tenth. test scores on a math exam: 88,89,65,62,83,63,84,63,74,64,71,82,66,88,79,60,86,63,93,99,60,85 a. mean = 69.5, median = 76.5, mode = 63 b. mean = 75.8, median = 89.5, mode = 6 c. mean = 75.8, median =76.5, mode = 63 d. mean = 69.5, median = 76.5, mode = 79.5

The correct options are:

• Four families said they ate out twice the previous week.
• One family said they ate out 5 times the previous week.
• The median best represents the data set.

Step-by-step explanation:

We are given a data set as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

On arranging this data set in the frequency table we get:

Number of times they went for dinner    Number of families

0                                                          2

1                                                           3

2                                                          4

3                                                           1

4                                                           2

5                                                           1

6                                                            1

• Hence, the range of the number line is between 0 to 6.
• Also there are 4 dots above 2.

Hence,  Four families said they ate out twice the previous week.

• Also there is one dot above 5.

Hence,  One family said they ate out 5 times the previous week.

• The data set is not symmetrical since the median is 2 and the data points to the left and to the right do not have symmetry.

Hence, the data set is not symmetrical.

• Also we know that the median of the data is the central tendency of the data and always best represents the data.

Hence, The median best represents the data set.

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## If the median of the six numbers 6,12,20,13,8 and x is 11, find the value of x.

If the median of the six numbers 6,12,20,13,8 and x is 11, find the value of x.

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## Need help!!!!!The dot plot below shows the number of books 26 students read in a month: Dot plot labeled Number of Books Read shows 10 dots over 0, 7 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, and 3 dots over 10. Is the median or the mean a better center for this data, and why?

Need help!!!!!The dot plot below shows the number of books 26 students read in a month: Dot plot labeled Number of Books Read shows 10 dots over 0, 7 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, and 3 dots over 10. Is the median or the mean a better center for this data, and why?

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## Can you find the mean or median of a set of data from a histogram? Please explain thoroughly.

The missing variable for a parallelogram:

height (h) ≈ 7.35 in or

height(h) ≈ 18.67 cm

Explanation:

Area of parallelogram is base times the height.

i.,e where A is the area , b is the base and h is the height of the parallelogram respectively.

Given: Area (A) = 25 square in.  and breadth(b) = 3.4  in.

To find the height:

Apply parallelogram; Substitute the value of A and b in above formula; Divide by 3.4 to both sides; Simplify:

7.35294118 in = h

or

h ≈ 7.35 in.

To find height in cm

Use 1 in = 2.54 cm

then, h =18.6764 ≈18.67 cm

Therefore, the height in inches is 7.35 in. (approx)

or the height in cm is; 18.67 cm (approx)

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## For which distribution is the median the best measure of center? uniform normal skewed left frequency

For which distribution is the median the best measure of center? uniform normal skewed left frequency

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## If the mean of a symmetric distribution is 170 what is the median

Mean : all the numbers added together divided by the amount of number
Example:  2+2+2+2
————
4
Median: all the number put in order from least to greatest, and it is the middle number
Example: 1,2,3,4,5 (your median is 3)

Mode: the number that appears the most in that question
Example: 1,1,2,2,3,3,3,4,4,5,5 ( your mode is 3)

Range; the largest number minus the smallest number
Example: 10, 10 15,15, 20, 25 ( your range will be 25-10, which the answer is 15)

hope this helps

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## What conclusion can be determined from the dot plot below? The median of the data set is 3. The mean of the data set is 3. The range of the data set is 5. The number of observations is 15.

A conic section is a curve obtained by the intersection of the surface of a cone with a plane. A conic section can be a circle, a hyperbola, a parabola, and an ellipse.

For a circle, the general equation of a circle with center, (a, b), and a radius, r, is of the form For a hyperbola, the general equation of a hyperbola with center (h, k), and a and b half the lengths of the major and the minor axis respectively is of the form. For a parabola, the general equation of a parabola with center (h, k), and a multiplier a is of the form For an ellipse, the general equation of an ellipse with center (h, k), and a and b half the lengths of the major and the minor axis respectively. Given the equation It can be rewritten as This gives an equation of a hyperbola with center (0, 0), half the length of the major axis = 30 and half the length of the minor segment = 10.

The domain of the equation is all real values of x.

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## If the mean of a symmetric distribution is 28, what's the median of the distribution?

If the mean of a symmetric distribution is 28, what’s the median of the distribution?

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## The cost of five different pairs of pants in a department store are \$39.99, \$31.99, \$19.99, \$23.99, and \$26.99. What is the median price in the store?

The cost of five different pairs of pants in a department store are \$39.99, \$31.99, \$19.99, \$23.99, and \$26.99. What is the median price in the store?

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## 20 points! Mean, Median, and mode (image below).

20 points! Mean, Median, and mode (image below).

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## The median value of a home in a particular market is decreasing exponentially. If the value of a home was initially \$240,000, then its value two years later is \$235,000. Answer the following.1) Determine when the value of the home will be 90% of its original value.Would the equation be set up like so: V=240e^.09t? 2)Determine the rate at which the value of the home is decreasing one year after it is valued at \$235,000. Include units in your answer, and round the final value to the nearest dollar.What I know so far: V=240e^(-0.01052)tWould you make t=1 and v=235?3)The relative rate of change in a quantity is defined as the rate of change for that quantity divided by the quantity present. Find the relative rate of change in the home’s value at any time t.I know that it will be dV/dt=VKI know k=-0.01052, would the final answer be -0.-1052=(dV/dt)/V

The original gross margin is (2.50 / 1.00) – 1 = (2.5 – 1) = 1.5  =  150%

If you increase the sell price by the same percentage as the growth in cost,
you maintain the same percentage of gross margin.

If the cost increases \$0.25, that’s a percentage increase of (0.25 / 1.00) = 25% .

Increase the sell-price 25%:  (1.25) x (\$2.50) = \$3.125 .

Then the gross margin is (3.125 / 1.25) – 1 = (2.5 – 1) = 1.5 = still 150%

Now, that’s the math.  But I claim that maintaining the constant percentage
of gross margin is a greedy, grasping, rapacious gouge of your customers.

Suppose that you operate a grocery store.  At some time in the past, you
decided that if you marked up a basketful of groceries by \$10, you could
realize enough profit to live comfortably, raise your children responsibly,
and provide for your old age.  Now comes your wholesaler, and increases
all of his prices to you by 25%.  By what logic are you justified in raising all
of your sell-prices to your customers by 25%, and suddenly taking home
\$12.50 every time you sell a basketful, instead of the \$10 that once satisfied
all of your needs ?  A constant amount of gross margin is what you need.
A constant percentage of gross margin is unwarranted, undeserved, and greedy