Comparing measurements

Question 1

The following two sets of data are from random samples of two different populations. Sample A: 4, 5, 6, 7, 8 Sample B: 2, 5, 8, 11, 14 Which statement best describes the comparison of the two populations based on these samples?

Accepted Answer

Population B likely has a higher average value and a larger spread than Population A.

Answer

Population B likely has a higher average value, but the two populations have about the same spread.

Answer

Population A likely has a larger spread than Population B, even though their averages are about the same.

Answer

Population A likely has a higher average value than Population B.

Question 2

Seven students recorded how many liters of water they drank in a day: 1.2 L, 1.4 L, 1.5 L, 1.6 L, 1.7 L, 1.8 L, and 5.0 L. Which statement correctly describes the range of the data and the effect of the large outlier (5.0 L) on the mean compared to the median?

Accepted Answer

The range is 3.8 L; the outlier raises the mean much more than it shifts the median.

Answer

The range is 3.8 L; the outlier raises the median more than it raises the mean.

Answer

The range is 1.6 L; the outlier raises the median more than it raises the mean.

Answer

The range is 1.6 L; the outlier raises the mean much more than it shifts the median.

Question 3

A teacher compares the test scores from two classes. In Class A the average (mean) score is 78 and the standard deviation is 6. In Class B the average score is 90 and the standard deviation is also 6. Using the standard deviation as the measure of variability, how many standard deviations apart are the two class averages?

Accepted Answer

2 standard deviations

Answer

1 standard deviation

Answer

0.5 standard deviations

Answer

3 standard deviations

Try three questions

The following two sets of data are from random samples of two different populations. Sample A: 4, 5, 6, 7, 8 Sample B: 2, 5, 8, 11, 14 Which statement best describes the comparison of the two populations based on these samples?

Seven students recorded how many liters of water they drank in a day: 1.2 L, 1.4 L, 1.5 L, 1.6 L, 1.7 L, 1.8 L, and 5.0 L. Which statement correctly describes the range of the data and the effect of the large outlier (5.0 L) on the mean compared to the median?

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