Question

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}

Answer 1

{8, 13, 11, 15, 12, 7, 12, 13, 5}

Explanation:

To read a histogram look at each bar, then at the x-axis to see what range the data represents, then look at the y-axis to see how often that data occurs.

Data: {8, 13, 11, 15, 12, 7, 12, 13, 5}

5 to 9 -- 3 occurrences

10 to 14 -- 5 occurrences

15 to 19 -- 1 occurrences

Therefore, this data does not match the graph which shows 5 to 9 with 4 occurrences, 10 to 14 with 3 occurrences, and 15 to 19 with 2 occurrences.

Answer 2

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

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