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Chapter 7: Q.70 (page 432)

70. Which of the following is NOT TRUE about the distribution for averages?

a. The mean, median, and mode are equal.

b. The area under the curve is one.

c. The curve never touches the x-axis.

d. The curve is skewed to the right.

Short Answer

Expert verified

Statement d. The curve skewed to the right is not true.

Step by step solution

01

Given Information

Frequently in measurements, we will generally address a bunch of information by delegate esteem which would roughly characterize the whole assortment. This delegate esteem is known as the proportion of focal inclination, and the name proposes that it is a worth around which the information is focused. These focal propensities are mean, median and mode.

02

Explanation Part (d)

The curve is skewed to the right.

Hence the statement is not true about the distribution for averages.

03

Explanation Part (a)

The statement is true as the mean, median, and mode are equal.

04

Explanation Part (b)

The statement is true as the area under the curve is one.

As exhibited by the Central Limit Theorem, the more noteworthy the model, the nearer the reviewing distribution of the means becomes normal.

05

Explanation Part (c)

The statement is true as the curve never touches the x-axis.

The standard deviation of the analyzing spread of the means will reduce making it similar to the standard deviation of X as the model size increments.

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