Answers to Comparing Data Distributions Practice

Use the image to answer the question.

An illustration shows two sets of dot plots. One is titled Movie 1 and the other is Movie 2. The plots are shown as an abacus-like representation with dots in a vertical row over each number on a number line. For Movie 1, a number line with arrows on both ends ranges from 17 to 43 in increments of 1. There is 1 dot above 17, 18, 21, 22, 25, 26, 28, 29, 32, 33, 35, 36, 38, 40, and 43. There are 2 dots above 23 and 3 dots above 20. For Movie 2, the number line ranges from 24 to 50 in increments of 1. There is 1 dot above 25, 28, 32, 35, 36, 42, 43, 45, 47, 48, and 50. There are 2 dots above 30, 34, and 37, and 3 dots above 40.

The dot plots show the ages, in years, of people watching two movies at a local theater. Find the median age of the people who watched each movie.

A: The median age of the people who watched Movie 1 is 25.5.
The median age of the people who watched Movie 2 is 37.

Use the image to answer the question.

An illustration shows two sets of dot plots. One is titled Movie 1 and the other is Movie 2. The plots are shown as an abacus-like representation with dots in a vertical row over each number on a number line. For Movie 1, a number line with arrows on both ends ranges from 17 to 43 in increments of 1. There is 1 dot above 17, 18, 21, 22, 25, 26, 28, 29, 32, 33, 35, 36, 38, 40, and 43. There are 2 dots above 23 and 3 dots above 20. For Movie 2, the number line ranges from 24 to 50 in increments of 1. There is 1 dot above 25, 28, 32, 35, 36, 42, 43, 45, 47, 48, and 50. There are 2 dots above 30, 34, and 37, and 3 dots above 40.

The dot plots show the ages, in years, of people watching two movies at a local theater. Find the range of the ages of the people who watched each movie.

A: The range of the ages of the people who watched Movie 1 is 26.
The range of the ages of the people who watched Movie 2 is 25.

Ten randomly selected people were asked to join a fitness group. Over the next two weeks, they were tested on how many push-ups they could do. The data shows the number of push-ups they did over the two weeks. From the first to the second week, what was the increase in the median number of push-ups?

Week 1: 5, 8, 10, 11, 6, 8, 9, 15, 5, 8
Week 2: 7, 9, 11, 12, 8, 10, 11, 18, 9, 10

A: 2 push-ups

Ten randomly selected people were asked to join a fitness group. Over the next two weeks, they were tested on how many push-ups they could do. The data shows the number of push-ups they did over the two weeks. What is the range of the number of push-ups people did each week?

Week 1: 5, 8, 10, 11, 6, 8, 9, 15, 5, 8
Week 2: 7, 9, 11, 12, 8, 10, 11, 18, 9, 10

A: The range of the number of push-ups people did in Week 1 is 10.
The range of the number of push-ups people did in Week 2 is 10.

Use the image to answer the question.

Two number lines extend from 0 to 6 in increments of 1 and are labeled as Times Pizza Eaten Last Month, City A, and Times Pizza Eaten Last Month, City B. The number lines show an abacus-like representation with columns of open circles over the numbers. Above the number line labeled as Times Pizza Eaten Last Month, City A, there are three circles over 0, five circles over 1, four circles over 2, two circles over 3, one circle over 4, four circles over 5, and two circles over 6. Above the number line labeled as Times Pizza Eaten Last Month, City B, there are three circles over 0, three circles over 1, three circles over 2, four circles over 3, three circles over 4, four circles over 5, and two circles over 6.

A pizza franchise conducted a survey to determine the number of pizzas that a person ate last month in two cities. The results are displayed in the dot plots. Compare the spreads of City A and City B. What conclusions can you draw about the spreads?

Option A: City A has a greater spread than City B.

Option B: City B has a greater spread than City A.

Option C: City A and City B have equal spreads.

A: Enter 3 for Option C

npp!!!

3 for Option C: City A and City B have equal spreads.

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