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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

Respuesta :

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.


boffeemadrid

Answer:

(B)

Step-by-step 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:

[tex]M=\frac{21+23}{2}=22[/tex]

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.

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