Which data set could not be represented by the histogram shown?

a) {12, 12, 15, 9, 8, 17, 11, 16, 15}

b) {13, 10, 15, 9, 9, 18, 19, 14, 15}

c) {12, 17, 19, 9, 8, 17, 18, 14, 16}

d) {13, 10, 16, 9, 8, 17, 18, 14, 15}

The data set that could not be represented by the histogram shown is C)  {12, 17, 19, 9, 8, 17, 18, 14, 16}

Step-by-step explanation:

To answer this question, observe the intervals of the histogram and its frequencies.

We have 3 intervals:

Interval    Frequency

5-9                  2

10-14                3

15-19                4

The data of A, B and D can be represented by the histogram because the frequencies of the data coincide with those of the histogram.

However, the data of option C does not coincide with the histogram.

Note that for the interval 10-14 the frequency is 3. But the data of option C only have 2 values between 10 and 14.

Also, the frequency for the interval 15-19 is 4. But the data of option C have up to 5 values in this interval