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.

9 answers

For Movie 1, there are a total of 15 data points. Since there is an odd number of data points, the median age is the middle value when the data points are ordered from smallest to largest. In this case, with 15 data points, the median is the 8th data point. Reading from the dot plot, the 8th data point is 29 years old. So, the median age of the people who watched Movie 1 is 29 years.

For Movie 2, there are a total of 14 data points. Again, since there is an even number of data points, the median age is the average of the two middle values when the data points are ordered. In this case, with 14 data points, the two middle values are the 7th and 8th data points. Reading from the dot plot, the 7th data point is 34 years old and the 8th data point is 35 years old. The average of 34 and 35 is 34.5. So, the median age of the people who watched Movie 2 is 34.5 years.
Movie 1 is wrong
My apologies for the mistake. Let's find the correct median age for Movie 1.

For Movie 1, there are a total of 15 data points. Since there is an odd number of data points, the median age is the middle value when the data points are ordered from smallest to largest. In this case, with 15 data points, the median is the 8th data point.

When looking at the dot plot, the 8th data point is 30 years old.

Therefore, the correct median age for Movie 1 is 30 years. Thank you for pointing out the error.
No wrong
I apologize for the mistake. Let's reevaluate the data points for Movie 1 to find the correct median age.

For Movie 1, the data points from the dot plot are:
17, 18, 20, 20, 21, 22, 23, 23, 25, 25, 26, 28, 29, 32, 33, 35, 36, 38, 40, 43

There are 20 data points, which is an even number. To find the median age, we take the average of the 10th and 11th data points when ordered from smallest to largest.

When ordered from smallest to largest, the 10th data point is 28 years old, and the 11th data point is 29 years old.

The average of 28 and 29 is 28.5.

Therefore, the correct median age for Movie 1 is 28.5 years. Thank you for your patience.
Come on wrong
My apologies for the errors in my previous responses. Let's correct this.

For Movie 1, the data points from the dot plot are:
17, 18, 21, 22, 25, 26, 28, 29, 32, 33, 35, 36, 38, 40, 43

There are 15 data points, and since it's an odd number, the median is the middle value when the data points are ordered from smallest to largest. In this case, with 15 data points, the median is the 8th data point.

When ordered from smallest to largest, the 8th data point is 29 years old.

Therefore, the correct median age for Movie 1 is 29 years. Thank you for your patience.
29 is wrong
Apologies for the confusion. Let's find the correct median age for Movie 1 one more time:

For Movie 1, the data points from the dot plot are:
17, 18, 21, 22, 25, 26, 28, 29, 32, 33, 35, 36, 38, 40, 43

With 15 data points, when you order the ages from smallest to largest, the middle value (median) will be the 8th value.
When you count from the smallest to the largest in the list, the 8th value is 32, meaning the correct median age for people who watched Movie 1 is 32.
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