Question 1

Given the dot plot of the heights of students in a class, which of the following statements is most accurate about the distribution?

Accepted Answer

The distribution is skewed to the right with a possible outlier at 82 inches.

Question 2

Based on the dot plot, what is the most common (modal) height range for students in the class?

Accepted Answer

66-68 inches

Question 3

If you were to calculate the mean height from the dot plot, which of the following best describes its likely position relative to the median?

Accepted Answer

The mean is likely greater than the median due to right skew.

Question 4

Suppose the heights are measured in inches and the data is approximately normal. If the mean is 68 inches and the standard deviation is 4 inches, what percentage of students are expected to have heights between 64 and 72 inches according to the Empirical Rule?

Accepted Answer

$$68\%$$

Question 5

If a student is randomly selected from the class, what is the probability that their height is at least 74 inches, given there are 2 students at 74, 1 at 78, 1 at 80, and 1 at 82 out of 20 students?

Accepted Answer

$$\frac{5}{20}$$

Question 6

Which of the following best describes the variable 'height' as shown in the dot plot?

Accepted Answer

Quantitative, continuous

Question 7

If the range of the data is calculated as the difference between the maximum and minimum heights, what is the range for this data set if the minimum is 60 inches and the maximum is 82 inches?

Accepted Answer

$$22$$ inches

Question 8

If you were to construct a box-and-whisker plot for this data, which of the following would most likely be true?

Accepted Answer

The upper whisker would be longer than the lower whisker.

Question 9

If the mean height is 68 inches and the standard deviation is 4 inches, what is the $$z-$$score for a student who is 78 inches tall?

Accepted Answer

$$z = \frac{78 - 68}{4} = 2.5$$

Question 10

If you want to estimate the proportion of students taller than 70 inches, which statistical method would be most appropriate?

Accepted Answer

Constructing a confidence interval for a population proportion

MAT 152 Final Review – Statistics Study Guide

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