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
.
Skip to navigation
The median age for Movie 1 can be determined by finding the middle value in the data set. Since there are a total of 29 values (1 dot above each number on the number line), the median age for Movie 1 is the 15th value in the ordered list. Since there are 2 dots each above 23 and 3 dots above 20, the 15th value will fall between 23 and 25. Therefore, the median age for Movie 1 is 24 years.
Similarly, the median age for Movie 2 can be determined by finding the middle value in the data set. Since there are a total of 24 values (1 dot above each number on the number line), the median age for Movie 2 is the 12th value in the ordered list. Since there are 2 dots each above 30, 34, and 37, the 12th value will fall between 34 and 37. Therefore, the median age for Movie 2 is 35 years.