Comparing Data Distributions Practice
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Question
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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)
The median age of the people who watched Movie 1 is
.
The median age of the people who watched Movie 2 is
.
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To find the median age of the people who watched each movie, we need to find the middle value in the data set.
For Movie 1, the number of data points is 15. Since 15 is an odd number, the median will be the middle value. In this case, the middle value is the 8th data point which is 29. Therefore, the median age of the people who watched Movie 1 is 29.
For Movie 2, the number of data points is 13. Again, since 13 is an odd number, the median will be the middle value. In this case, the middle value is the 7th data point which is 36. Therefore, the median age of the people who watched Movie 2 is 36.
wrong
I apologize for the mistake. Let me correct that.
For Movie 1, the number of data points is 15. To find the median, we need to find the middle value. Since there are 15 data points, the middle value will be the average of the 8th and 9th data points which are 29 and 32 respectively.
(29 + 32) / 2 = 61 / 2 = 30.5
Therefore, the median age of the people who watched Movie 1 is 30.5.
For Movie 2, the number of data points is 13. Since there are 13 data points, the median will simply be the middle value which is the 7th data point, 36.
Therefore, the median age of the people who watched Movie 2 is 36.