EBook Problems EDA Var

EBook Problems Set - Measures of Variation

Problem 1

The standard error of the mean is a name for the standard deviation of the:

• Choose one answer.

(a) parent population

(b) sample

(c) raw scores

(d) sampling distribution of the mean

(e) sampling distribution of the variance

Answer

 (d)

Problem 2

There is a compay in which a very small minority of males (3%) receive three times the median salary of males, and a very small minority of females (3%) receive one-third of the median salary of females. What do you expect the side-by-side boxplot of male and female salaries to look like?

• Choose one answer.

(a) Both boxplots will be skewed and the median line will not be in the middle of any of the boxes.

(b) Both boxplots will be skewed, in the case of the females the median line will be close to the top of the box and in the case of the males the median line will be closer to the bottom of the box.

(c) Need to have the actual data to compare the shape of the boxplots.

(d) Both boxplots will be skewed, in the case of males the median line will be close to the top of the box and for the females the median line will be closer to the bottom of the box.

Answer

 (b)

Problem 3

If the observations larger than 40 are deleted, what will happen to the value of the standard deviation?

• Choose one answer.

(a) It will become larger

(b) It will become smaller

(c) Need more information to answer this question

(d) It will not change

Answer

 (b)

Problem 4

Does the size of the standard deviation of a data set depend on where the center is?

• Choose one answer.

(a) Yes, the higher the mean, the higher the standard deviation

(b) Yes, because you have to know the mean to calculate the standard deviation

(c) No, the value of the standard deviation is not affected by the value of the mean

(d) No, because the standard deviation is only measuring how the values differ from each other

Answer

 (b)

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