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)
The median age of the people who watched Movie 1 is
.
The median age of the people who watched Movie 2 is
ur wrong
1. Movie 1: 25.5
Movie 2: 37
2. Movie 1: 26
Movie 2: 25
3. 2 push-ups
4. Week 1: 10
Week 2: 11
5. Option C: City A and City B have equal spreads.
100% correct for the practice!
To find the median age of the people who watched each movie, we need to find the middle value when the data is listed in numerical order.
For Movie 1:
The ages given in the dot plot for Movie 1 are: 17, 18, 20, 20, 20, 21, 22, 23, 25, 26, 28, 29, 32, 33, 35, 36, 38, 40, 43
There are a total of 19 data points, which is an odd number. The middle value is the 10th value when listed in numerical order (20, 21, 22, 23, 25, 26, 28, 29, 32, 33, 35, 36, 38, 40, 43). The 10th value is 32.
Therefore, the median age of the people who watched Movie 1 is 32 years.
For Movie 2:
The ages given in the dot plot for Movie 2 are: 24, 25, 28, 30, 30, 32, 34, 34, 35, 36, 37, 37, 40, 40, 40, 42, 43, 45, 47, 48, 50
There are a total of 21 data points, which is an odd number. The middle value is the 11th value when listed in numerical order (24, 25, 28, 30, 30, 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 of the people who watched Movie 2 is 36 years.
To find the median age of the people who watched each movie, we need to find the middle number in each set of data.
For Movie 1:
There are a total of 15 data points. Since the total number is odd, the median will be the 8th value when the data is listed in numerical order.
The data in numerical order is: 17, 18, 20 (x3), 21, 22, 23, 25, 26, 28, 29, 32, 33, 35, 36, 38, 40, 43
The 8th value is 25, so the median age of the people who watched Movie 1 is 25 years.
For Movie 2:
There are a total of 15 data points. Since the total number is odd, the median will be the 8th value when the data is listed in numerical order.
The data in numerical order is: 24, 25, 28, 30 (x2), 32, 34 (x2), 35, 36, 37 (x2), 40 (x3), 42, 43, 45, 47, 48, 50
The 8th value is 34, so the median age of the people who watched Movie 2 is 34 years.