Question

select the correct histogram to represent the following data: 22, 22, 24, 25, 23, 27, 25, 24, 25, 22, 27, 24, 24, 24, 26, 23, 27, 24, 27, 25, 22, 25, 27, 26, 25, 27, 22, 24, 26, 25

Explanation:

Step1: Count data - point frequencies

Count the number of times each value (22 - 27) appears in the data - set: 22 appears 5 times, 23 appears 2 times, 24 appears 6 times, 25 appears 7 times, 26 appears 3 times, 27 appears 6 times.

Step2: Match with histograms

Check the frequencies in each histogram. The first histogram has frequencies for 22: around 5, 23: around 2, 24: around 6, 25: around 7, 26: around 3, 27: around 6 which matches our counted frequencies.

Answer:

The first histogram is the correct one to represent the given data.