Question

Find the median, lower quartile, and upper quartile for the given set of data. {30, 24, 8, 21, 35, 23, 23, 19, 13, 17}

a. lower quartile = 8, median = 22, upper quartile = 35

b. lower quartile = 17, median = 22, upper quartile = 24

c. lower quartile = 8, median = 21.3, upper quartile = 35

d. lower quartile = 17, median = 21.3, upper quartile = 24

Answer 1

if we arrange them in order

8 13 17 19 21 23 23 24 30 35

The median is the mean of the 2 middle numbers:- 21+23 / 2 = 22

first quartile is middle one from 8 to 21 = 17
in similar way upper quartile = 24

correct choice is b.

Answer 2

(B)

Explanation:

The given data set is:

30, 24, 8, 21, 35, 23, 23, 19, 13, 17

In order to find the median, arrange the given data in ascending order that is

8, 13, 17, 19, 21, 23, 23,24, 30, 35

Now, Median is given as:

`M=(21+23)/(2)=22`

Thus, the median is 22.

The lower quartile is:

8, 13, 17, 19, 21

The mid data set value is the Lower Quartile, thus the Lower Quartile is 17.

The upper Quartile is:

23, 23,24, 30, 35

The mid data set value is the Upper Quartile, thus the Upper Quartile is 24.

Hence, option B is correct.