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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 modal age of the people who watched each movie.

(1 point)
The modal age of the people who watched Movie 1 is
.
The modal age of the people who watched Movie 2 is
.
Remaining Attempts : 3
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Answer 1

To determine the modal age for each movie, we look for the ages (numbers) that have the highest frequency of dots in the dot plots.

For Movie 1, the distribution of ages is as follows:

• 1 dot at ages 17, 18, 21, 22, 25, 26, 28, 29, 32, 33, 35, 36, 38, 40, and 43
• 2 dots at age 23
• 3 dots at age 20

The age with the highest number of dots (3 dots) is 20, making the modal age for Movie 1 20.

For Movie 2, the distribution of ages is:

• 1 dot at ages 25, 28, 32, 35, 36, 42, 43, 45, 47, 48, and 50
• 2 dots at ages 30, 34, and 37
• 3 dots at age 40

The age with the highest number of dots (3 dots) is 40, making the modal age for Movie 2 40.

Thus, the final answers are:

• The modal age of the people who watched Movie 1 is 20.
• The modal age of the people who watched Movie 2 is 40.