Question

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. Express your answer as a decimal if needed. Do not round your answer.

(1 point)
The median age of the people who watched Movie 1 is
.
The median age of the people who watched Movie 2 is

Answer 1

To find the median age for each movie, we start by determining the total number of data points (ages) represented by the dots in each dot plot.

**For Movie 1:**
- The ages and their corresponding frequencies are as follows:
- 17: 1 dot
- 18: 1 dot
- 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

Adding these up:
1 + 1 + 3 + 1 + 1 + 2 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 19

There are 19 data points. To find the median, we need the 10th value when the ages are arranged in order.

Listing the ages in order:
- 17, 18, 20, 20, 20, 21, 22, 23, 23, 25, 26, 28, 29, 32, 33, 35, 36, 38, 40, 43

The 10th value is **25**.

**For Movie 2:**
- The ages and their corresponding frequencies are as follows:
- 24: 0 dots
- 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

Adding these up:
1 + 1 + 2 + 1 + 2 + 1 + 1 + 2 + 3 + 1 + 1 + 1 + 1 + 1 + 1 = 17

There are 17 data points. To find the median, we need the 9th value when the ages are arranged in order.

Listing the ages in order:
- 25, 28, 30, 30, 32, 34, 34, 35, 36, 37, 37, 40, 40, 40, 42, 43, 45, 47, 48, 50

The 9th value is **36**.

Thus, the findings are:
- The median age of the people who watched Movie 1 is **25**.
- The median age of the people who watched Movie 2 is **36**.