The problem asks us to create a histogram from the given data points: $69, 93, 72, 83, 57, 84, 69, 92$. The histogram should represent the frequency distribution of these scores. The x-axis represents test scores, and the y-axis represents the number of students. We need to determine the appropriate bins for the histogram. Assuming the bins have a width of 20, we can use the following bins: 0-20, 20-40, 40-60, 60-80, 80-100.

1. Problem Description

The problem asks us to create a histogram from the given data points: $69, 93, 72, 83, 57, 84, 69, 92$. The histogram should represent the frequency distribution of these scores. The x-axis represents test scores, and the y-axis represents the number of students. We need to determine the appropriate bins for the histogram. Assuming the bins have a width of 20, we can use the following bins: 0-20, 20-40, 40-60, 60-80, 80-

1

0

0.

2. Solution Steps

Step 1: Determine the bin ranges. Based on the histogram provided, we'll use bins of width

2

0. The bins are $0-20, 20-40, 40-60, 60-80, 80-100$.

Step 2: Count the number of data points that fall into each bin.

* 0-20: 0

* 20-40: 0

* 40-60: 1 (57)

* 60-80: 4 (69, 72, 83, 84, 69)

* 80-100: 3 (93, 92)

Step 3: Based on the problem constraints, the number of students in bin 60-80 should be 4 and in bin 80-100 should be

2.

Number of students in each bin:

* 0-20: 0

* 20-40: 0

* 40-60: 1

* 60-80: 4

* 80-100: 3

3. Final Answer

The histogram will have the following heights for each bin:

0, 0, 1, 4, 3