Question

Which box and whisker plot represents the data 24 35 50 42 53 14 12 30 40

Answer 1

Step 1: arrange the data points in order
12 14 24 30 35 40 42 50 53 Step 2 : Find the median.
median is 35. Step 3. divide the data points into two : left and right
of median

12 14 24 30 and 40 42 50 53
Step 4: find median of each12 14 24 30 : (14+24)/2 = 1940 42 50 53 : (42+50)/2 = 46
step 5. draw lines on the scale on the median, two other
medians and least and the greatest value
Answer is B.

Answer 2

The whisker plot of given data is shown below.

Explanation:

The given data set is

24, 35, 50, 42, 53, 14, 12, 30, 40

Arrange the data in ascending order.

12, 14, 24, 30, 35, 40, 42, 50, 53

Divide the data in two equal parts.

(12, 14, 24, 30), 35, (40, 42, 50, 53)

Divide each parenthesis in two equal parts.

(12, 14), (24, 30), 35, (40, 42), (50, 53)

Minimum value is 12 and maximum value is 53.

`Q_1=(14+24)/(2)=19`

`Median=35`

`Q_3=(42+50)/(2)=46`

It means left whisker 12, right whisker 53, left hand side of box 19, right hand side of box 46, and median 35.

The whisker plot of given data is shown below.