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.
To find the median age of the people who watched each movie, we need to first determine the total number of people who watched each movie.
For Movie 1:
Total number of people = 15 (sum of all the dots)
To find the median age for Movie 1, we need to find the middle value in the ordered set of ages. Since there are 15 people, the median will be the 8th value when the ages are ordered from least to greatest.
The ordered set of ages for Movie 1 is:
17, 18, 20, 20, 21, 22, 23, 23, 25, 25, 26, 28, 29, 32, 32, 33, 35, 35, 36, 36, 38, 40, 40, 40, 43, 43
Thus, the median age for Movie 1 is 29.
For Movie 2:
Total number of people = 21 (sum of all the dots)
To find the median age for Movie 2, we need to find the middle value in the ordered set of ages. Since there are 21 people, the median will be the 11th value when the ages are ordered from least to greatest.
The ordered set of ages for Movie 2 is:
25, 28, 30, 30, 32, 32, 34, 34, 35, 36, 37, 37, 40, 40, 40, 42, 43, 45, 47, 48, 50
Thus, the median age for Movie 2 is 36.
Incorrect.
My apologies for the mistake. Let me recalculate the median age for each movie.
For Movie 1:
Since there are 15 people who watched the movie, the median age will be the average of the 8th and 9th value when the ages are ordered from least to greatest.
The ordered set of ages for Movie 1 is:
17, 18, 20, 20, 21, 22, 23, 23, 25, 25, 26, 28, 29, 32, 32, 33, 35, 35, 36, 36, 38, 40, 40, 40, 43, 43
The 8th and 9th values are both 25. Therefore, the median age for Movie 1 is 25.
For Movie 2:
Since there are 21 people who watched the movie, the median age will be the 11th value when the ages are ordered from least to greatest.
The ordered set of ages for Movie 2 is:
25, 28, 30, 30, 32, 32, 34, 34, 35, 36, 37, 37, 40, 40, 40, 42, 43, 45, 47, 48, 50
The 11th value is 36. Therefore, the median age for Movie 2 is 36.
Wrong.
To find the median age for each movie, we need to first find the total number of people who watched each movie.
For Movie 1:
Total number of people = 15
Since 15 is an odd number, the median age will be the middle value when the ages are ordered from least to greatest. In this case, the middle value is the 8th value.
The ordered set of ages for Movie 1 is: 17, 18, 20, 20, 21, 22, 23, 23, 25, 25, 26, 28, 29, 32, 32, 33, 35, 35, 36, 36, 38, 40, 40, 40, 43, 43
The 8th value is 23. Therefore, the median age for Movie 1 is 23.
For Movie 2:
Total number of people = 21
Since 21 is an odd number, the median age will be the middle value when the ages are ordered from least to greatest. In this case, the middle value is the 11th value.
The ordered set of ages for Movie 2 is: 25, 28, 30, 30, 32, 32, 34, 34, 35, 36, 37, 37, 40, 40, 40, 42, 43, 45, 47, 48, 50
The 11th value is 36. Therefore, the median age for Movie 2 is 36.