Question

identify the histogram for the frequency distribution below.

data	frequency
7 - 11	3
12 - 16	7
17 - 21	3
22 - 26	2

Explanation:

Step1: Analyze first interval

The interval 2 - 6 has a frequency of 2. We should look for a bar over the 2 - 6 range with height 2.

Step2: Analyze second interval

The interval 7 - 11 has a frequency of 3. We need a bar over 7 - 11 with height 3.

Step3: Analyze third interval

The interval 12 - 16 has a frequency of 7. The bar over 12 - 16 should be the tallest among all with height 7.

Step4: Analyze fourth interval

The interval 17 - 21 has a frequency of 3. There should be a bar over 17 - 21 with height 3.

Step5: Analyze fifth interval

The interval 22 - 26 has a frequency of 2. There should be a bar over 22 - 26 with height 2.

Answer:

By comparing the frequencies in the table with the heights of the bars in each histogram option, we can identify the correct histogram. Without the option - specific naming, we describe the correct histogram as the one that has bar - heights corresponding to the frequencies 2, 3, 7, 3, 2 for the intervals 2 - 6, 7 - 11, 12 - 16, 17 - 21, 22 - 26 respectively.