Use the image to answer the question.

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
.

Answer 1

The modal age is the age that appears most frequently in the data.

For Movie 1:

• The counts of dots (ages) are:
  • 20 (3 dots)
  • 21 (1 dot)
  • 22 (1 dot)
  • 23 (2 dots)
  • 25 (1 dot)
  • 26 (1 dot)
  • 28 (1 dot)
  • 29 (1 dot)
  • 32 (1 dot)
  • 33 (1 dot)
  • 35 (1 dot)
  • 36 (1 dot)
  • 38 (1 dot)
  • 40 (1 dot)
  • 43 (1 dot)

The maximum frequency is 3 dots at age 20.

Thus, the modal age of the people who watched Movie 1 is 20.

For Movie 2:

• The counts of dots (ages) are:
  • 25 (1 dot)
  • 28 (1 dot)
  • 30 (2 dots)
  • 32 (1 dot)
  • 34 (2 dots)
  • 35 (1 dot)
  • 36 (1 dot)
  • 37 (2 dots)
  • 40 (3 dots)
  • 42 (1 dot)
  • 43 (1 dot)
  • 45 (1 dot)
  • 47 (1 dot)
  • 48 (1 dot)
  • 50 (1 dot)

The maximum frequency is 3 dots at age 40.

Thus, the modal age of the people who watched Movie 2 is 40.

Final answers:

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