Question

Which data set COULD NOT be represented by the box plot shown?

A) {13, 5, 8, 8, 6, 10, 15, 12, 4, 13, 11}
B) {2, 10, 13, 7, 9, 5, 15, 12, 7, 13, 11}
C) {15, 13, 6, 7, 10, 8, 11, 13, 13, 6, 4}
D) {4, 13, 6, 7, 15, 12, 11, 10, 5, 13, 9}

Answer 1

answer is B

Explanation:

Answer 2

Option B : {2, 10, 13, 7, 9, 5, 15, 12, 7, 13, 11}

Explanation:

In the given box plot

Maximum = 15

Minimum = 4

So, the values of the data set must lies between [4,15]

Option A:{13, 5, 8, 8, 6, 10, 15, 12, 4, 13, 11}

All the values of this data set lies within the interval.

Option B : {2, 10, 13, 7, 9, 5, 15, 12, 7, 13, 11}

Since 2 is not in the given interval .

So, this set of data could not be represented by the box plot shown.

Option C :{15, 13, 6, 7, 10, 8, 11, 13, 13, 6, 4}

All the values of this data set lies within the interval.

Option D: {4, 13, 6, 7, 15, 12, 11, 10, 5, 13, 9}

All the values of this data set lies within the interval.