Question

consider the data set {9, 8, 2, 16, 16, 16, 12, 10, 28, 27, 25, 34, 30, 34, 37, 46, 43, 43, 43, 43}. a histogram is similar to a bar graph, but the data is continuous. the intervals shown in the histograms below are 0 - 10, 10 - 20, 20 - 30, 30 - 40, and 40 - 50. a data value on a border value will be counted in the higher bin. for example, if there was a data value of 40, then it would be counted in the 40 - 50 group of data, not in the 30 - 40 group of data. identify the histogram that represents the data set.

Explanation:

Step1: Count frequencies in intervals

Create frequency - table for intervals 0 - 10, 10 - 20, 20 - 30, 30 - 40, 40 - 50 from the data set {9, 8, 2, 16, 16, 16, 12, 10, 28, 27, 25, 34, 30, 34, 37, 46, 43, 43, 43, 43}.
0 - 10: 3 (2, 8, 9)
10 - 20: 5 (10, 12, 16, 16, 16)
20 - 30: 3 (25, 27, 28)
30 - 40: 4 (30, 34, 34, 37)
40 - 50: 5 (43, 43, 43, 43, 46)

Step2: Match with histograms

Compare the frequencies in each interval with the histograms A and B.
Histogram A has frequencies 5, 3, 4, 1, 5 for intervals 0 - 10, 10 - 20, 20 - 30, 30 - 40, 40 - 50 respectively.
Histogram B has frequencies 3, 5, 3, 4, 5 for intervals 0 - 10, 10 - 20, 20 - 30, 30 - 40, 40 - 50 respectively.

Answer:

B