Question

The table below shows 10 data values 125 138 132 140 136 136 126 122 135 121 What values of minimum, Q1, median, Q3, and maximum should be used to make a box plot for this data?

Answer 1

Answer:

The box plot of the given data is shown below.

Step-by-step explanation:

The given data set is

125, 138, 132, 140, 136, 136, 126, 122, 135, 121

Arrange the data in ascending order

121, 122, 125, 126, 132, 135, 136, 136, 138, 140

Divide the data in two equal parts.

(121, 122, 125, 126, 132), (135, 136, 136, 138, 140)

Divide each parenthesis in two equal parts.

(121, 122), 125, (126, 132), (135, 136), 136, (138, 140)

Minimum value = 121

Maximum value = 140

$Q_1=125$

$Median=\frac{132+135}{2}=133.5$

$Q_3=136$

It means the starting point is 121 and end point is 140. Box lie from 125 to 136 and a line inside the box at 133.5.

Answer 2

We have to put the numbers in order..
(121,122,125, 126,132),M,(135,136,136,138,140)

minimum : (smallest number) = 121
Q1 : 125
Q2 (median) : (132 + 135) / 2 = 267/2 = 133.5
Q3 : 136
maximum : (largest number) = 140