Home / Assignment Help / Which statements are true about mean absolute deviation? Select all that apply. The mean absolute deviation is impacted by outliers. The mean absolute deviation is a measure of center of the data. The mean absolute deviation is a measure of variation, or spread, of the data. The lower the mean absolute deviation is, the more spread out the data points are from the mean. The higher the mean absolute deviation is, the more spread out the data points are from the mean.

Which statements are true about mean absolute deviation? Select all that apply. The mean absolute deviation is impacted by outliers. The mean absolute deviation is a measure of center of the data. The mean absolute deviation is a measure of variation, or spread, of the data. The lower the mean absolute deviation is, the more spread out the data points are from the mean. The higher the mean absolute deviation is, the more spread out the data points are from the mean.

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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