Question

temperature frequency relative frequency 70 - 74 7 0.23 75 - 79 5 0.16 80 - 84 6 0.20 85 - 89 7 0.23 90 - 94 3 0.10 (b) which of the following is the correct histogram for this data?

Explanation:

Step1: Identify frequencies from the table

The frequencies for the intervals 70 - 74, 75 - 79, 80 - 84, 85 - 89, 90 - 94 are 7, 5, 6, 7, 3 respectively.

Step2: Match with histogram bar - heights

In the first histogram option, the bar - heights corresponding to the intervals 70 - 74, 75 - 79, 80 - 84, 85 - 89, 90 - 94 are approximately 4, 10, 3, 8, 4 which do not match the frequencies from the table.
In the second histogram option, the bar - heights corresponding to the intervals 70 - 74, 75 - 79, 80 - 84, 85 - 89, 90 - 94 are approximately 7, 5, 6, 7, 3 which match the frequencies from the table.

Answer:

The second histogram option.