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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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Study Solutions

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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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**Answer:**

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.

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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

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**Answer:**

**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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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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**Answer:**

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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**Answer:**

**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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**Answer:**

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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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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**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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**Answer:**

(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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**Answer:**

(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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Categories

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**Answer:**

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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**Answer:**

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.

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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?

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**Answer:**

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

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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)

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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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?

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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?

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

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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

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