Question

The following data indicate the scores of some students in a competition:

30 points

11 points

14 points

23 points

21 points

31 points

32 points

Which box plot represents the data?

A box plot titled "Scores of Participants" and labeled "Scores" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 21 to 31 on the number line. A line in the box is at 23. The whiskers end at 14 and 32.

A box plot titled "Scores of Participants" and labeled "Scores" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, 35. The box extends from 14 to 31 on the number line. A line in the box is at 21. The whiskers end at 11 and 32.

A box plot titled "Scores of Participants" and labeled "Scores" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 14 to 31 on the number line. A line in the box is at 23. The whiskers end at 11 and 32.

A box plot titled "Scores of Participants" and labeled "Scores" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 14 to 30 on the number line. A line in the box is at 23. The whiskers end at 11 and 31.

Answer 1

Data is represented by a box plot titled "Scores of Participants" and labeled "Scores" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 14 to 31 on the number line. A line in the box is at 23. The whiskers end at 11 and 32.

What is box plot?

" Box plot is a representation of the data on the number line with lowest and highest value in a quartile form using box. It gives the details of spreading of the data on the number line."

Formula used

Range = maximum value - minimum value

According to the question,

Arrange the data in ascending order,

11, 14, 21, 23, 30, 31, 32

Range of the given data = 32 - 11

                                         = 21

As shown in the diagram of box plot,

Median of box plot= Central value of box plot

             = 23

First Quartile of box plot = ( 11, 14, 21)

Median of first quartile = 14

Third Quartile of box plot = (30 , 31, 32)

Median of Third Quartile= 31

Interquartile range = 31 - 14

                               = 17

Whiskers end at 11 and 32.  

Box extends = 14 to 31 on the number line      

Hence, Data is represented by a box plot titled "Scores of Participants" and labeled "Scores" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 14 to 31 on the number line. A line in the box is at 23. The whiskers end at 11 and 32.

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