Comparing Data Distributions Practice

Question

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.

(1 point)

Answer 1

To find the median age of each movie, we need to look for the middle value in each set of data.

For Movie 1:
- The total number of data points is 15 (counting the dots above each number on the number line).
- To find the median, we need to find the middle value. Since there is an odd number of data points (15), the middle value will be the 8th data point when we arrange the ages in ascending order.
- The 8th data point in Movie 1 is 28 years old.

Therefore, the median age of the people who watched Movie 1 is 28 years old.

For Movie 2:
- The total number of data points is 14 (counting the dots above each number on the number line).
- To find the median, we need to find the middle value. Since there is an even number of data points (14), we find the average of the two middle values when we arrange the ages in ascending order.
- The 7th data point is 35 years old and the 8th data point is 36 years old.
- The average of 35 and 36 is (35 + 36) / 2 = 71 / 2 = 35.5

Therefore, the median age of the people who watched Movie 2 is 35.5 years old.

Answer 2

WRONG🤣😶🙄😒🥱🥱😫😫😛😮😥🤨🤔😐🤐😲☹😖😤😢

Answer 3

I apologize if I made a mistake in my explanation. Let me correct my answer:

For Movie 1:
- The total number of data points is 15 (counting the dots above each number on the number line).
- To find the median, we need to find the middle value. Since there is an odd number of data points (15), the middle value will be the 8th data point when we arrange the ages in ascending order.
- The 8th data point in Movie 1 is 32 years old.

Therefore, the median age of the people who watched Movie 1 is 32 years old.

For Movie 2:
- The total number of data points is 14 (counting the dots above each number on the number line).
- To find the median, we need to find the middle value. Since there is an even number of data points (14), we find the average of the two middle values when we arrange the ages in ascending order.
- The 7th data point is 35 years old and the 8th data point is also 35 years old (there are two values at the middle position).
- The average of 35 and 35 is (35 + 35) / 2 = 70 / 2 = 35

Therefore, the median age of the people who watched Movie 2 is 35 years old.