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 answer

For Movie 1, there are a total of 15 data points. The middle data point is the 8th data point since 15 is an odd number. Counting from the smallest age to the largest age, the 8th data point is 28. Therefore, the median age for Movie 1 is 28 years.

For Movie 2, there are a total of 14 data points. The two middle data points are the 7th and 8th data points since 14 is an even number. Counting from the smallest age to the largest age, the 7th and 8th data points are 34 and 35. To find the median, we take the average of 34 and 35, which is 34.5. Therefore, the median age for Movie 2 is 34.5 years.
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