Question

Which data set is represented by the modified box plot? Box and whisker plot on a number line from 90 to 180 in increments of 5. The whisker ranges from 124 to 152. The box ranges from 130 to 149 with the vertical bar inside the box at 138. One dot mark above one hundred and one. One dot mark above one hundred and seventy-eight.

128, 146, 152, 128, 178, 101, 124, 144, 130, 126, 149

138, 146, 152, 138, 178, 110, 124, 144, 130, 136, 149

138, 146, 152, 138, 178, 101, 124, 144, 130, 136, 149

138, 146, 152, 138, 169, 101, 124, 144, 130, 136, 149

Answer 1

C. Just took the test.

Answer 2

Option: 3 is the correct answer:

138, 146, 152, 138, 178, 101, 124, 144, 130, 136, 149

Explanation:

We will arrange each of the given options in the increasing order of the data points:

1) 101 124 126 128 128 130 144 146 149 152 178

2) 110 124 130 136 138 138 144 146 149 152 178

3) 101 124 130 136 138 138 144 146 149 152 178

4) 101 124 130 136 138 138 144 146 149 152 169

Now according to the question we have:

Minimum value=124

Lower quartile i.e.
`Q_1`=130

Median or middle quartile i.e
`Q_2`=138

Upper quartile i.e.
`Q_3`=149

Maximum value=152

Also, it is given that :

• One dot mark above one hundred and one.

• One dot mark above one hundred and seventy-eight.

Hence, the data set that satisfy these conditions are:

138, 146, 152, 138, 178, 101, 124, 144, 130, 136, 149