Ages 11–13🧮 MathematicsBeing planted

Comparing measurements

Describe, interpret, and compare distributions of a single variable using appropriate measures of central tendency (mean, median, mode) and spread (range), including the effect of outliers

A first look

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Question 1 of 3

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?

Question 2 of 3

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?

Question 3 of 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?

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