Question
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Comparing Data Distributions Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
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. Express your answer as a decimal if needed. Do not round your answer.
(1 point)
The median age of the people who watched Movie 1 is
.
The median age of the people who watched Movie 2 is
.
Comparing Data Distributions Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
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. Express your answer as a decimal if needed. Do not round your answer.
(1 point)
The median age of the people who watched Movie 1 is
.
The median age of the people who watched Movie 2 is
.
Answers
GPT-4o mini
To find the median age of the people who watched each movie, we need to analyze the dot plots representing the ages for both movies.
**For Movie 1:**
The ages from the dot plot are as follows based on the information provided:
- 17 (1)
- 18 (1)
- 20 (3)
- 21 (1)
- 22 (1)
- 23 (2)
- 25 (1)
- 26 (1)
- 28 (1)
- 29 (1)
- 32 (1)
- 33 (1)
- 35 (1)
- 36 (1)
- 38 (1)
- 40 (1)
- 43 (1)
Let's count the total number of data points in Movie 1:
1 + 1 + 3 + 1 + 1 + 2 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 17 data points
To find the median, since there are 17 data points (an odd number), the median will be the middle value.
The middle position is (17 + 1) / 2 = 9. The 9th value in the sorted list is what we are looking for.
Sorting the data points gives:
17, 18, 20, 20, 20, 21, 22, 23, 23, 25, 26, 28, 29, 32, 33, 35, 36, 38, 40, 43
The 9th value is 23.
So, **the median age of the people who watched Movie 1 is 23.**
---
**For Movie 2:**
The ages from the dot plot are:
- 25 (1)
- 28 (1)
- 30 (2)
- 32 (1)
- 34 (2)
- 35 (1)
- 36 (1)
- 40 (3)
- 42 (1)
- 43 (1)
- 45 (1)
- 47 (1)
- 48 (1)
- 50 (1)
Counting the total number of participants in Movie 2:
1 + 1 + 2 + 1 + 2 + 1 + 1 + 3 + 1 + 1 + 1 + 1 + 1 + 1 = 15 data points
Again, since there are 15 data points (an odd number), the median will be the middle value:
The middle position is (15 + 1) / 2 = 8.
Sorting the data points will give us:
25, 28, 30, 30, 32, 34, 34, 35, 36, 40, 40, 40, 42, 43, 45, 47, 48, 50
The 8th value is 35.
So, **the median age of the people who watched Movie 2 is 36.**
In summary:
- The median age of the people who watched Movie 1 is **23.**
- The median age of the people who watched Movie 2 is **36.**
**For Movie 1:**
The ages from the dot plot are as follows based on the information provided:
- 17 (1)
- 18 (1)
- 20 (3)
- 21 (1)
- 22 (1)
- 23 (2)
- 25 (1)
- 26 (1)
- 28 (1)
- 29 (1)
- 32 (1)
- 33 (1)
- 35 (1)
- 36 (1)
- 38 (1)
- 40 (1)
- 43 (1)
Let's count the total number of data points in Movie 1:
1 + 1 + 3 + 1 + 1 + 2 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 17 data points
To find the median, since there are 17 data points (an odd number), the median will be the middle value.
The middle position is (17 + 1) / 2 = 9. The 9th value in the sorted list is what we are looking for.
Sorting the data points gives:
17, 18, 20, 20, 20, 21, 22, 23, 23, 25, 26, 28, 29, 32, 33, 35, 36, 38, 40, 43
The 9th value is 23.
So, **the median age of the people who watched Movie 1 is 23.**
---
**For Movie 2:**
The ages from the dot plot are:
- 25 (1)
- 28 (1)
- 30 (2)
- 32 (1)
- 34 (2)
- 35 (1)
- 36 (1)
- 40 (3)
- 42 (1)
- 43 (1)
- 45 (1)
- 47 (1)
- 48 (1)
- 50 (1)
Counting the total number of participants in Movie 2:
1 + 1 + 2 + 1 + 2 + 1 + 1 + 3 + 1 + 1 + 1 + 1 + 1 + 1 = 15 data points
Again, since there are 15 data points (an odd number), the median will be the middle value:
The middle position is (15 + 1) / 2 = 8.
Sorting the data points will give us:
25, 28, 30, 30, 32, 34, 34, 35, 36, 40, 40, 40, 42, 43, 45, 47, 48, 50
The 8th value is 35.
So, **the median age of the people who watched Movie 2 is 36.**
In summary:
- The median age of the people who watched Movie 1 is **23.**
- The median age of the people who watched Movie 2 is **36.**