Question

Find the quartiles.
66, 65, 64, 70, 61, 60, 56, 63, 60, 67, 62.​

Answer 1

Answer:

87

Step-by-step explanation:

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Answer 2

Answer:

first quantile is 60.5

second quartile is median of data which is 63

third quartile is 65.5

Step-by-step explanation:

The given data is

66, 65, 64, 70, 61, 60, 56, 63, 60, 67, 62.​

First of all, we arrange the data in the ascending order

56, 60, 60, 61, 62, 63, 64, 65, 66, 67, 70

Now, there is the smallest value is 56

and the largest value is 70

the first quantile is  the middle number between the smallest number and the median of the data

The median is 63

if there is no middle number then we take the mean of two middle numbers.

$\frac{60+63}{2} =60.5$

first quantile is 60.5

second quartile is median of data which is 63

third quartile is the middle value between the median and the highest value

$\frac{65+66}{2} =65.5$

third quartile is 65.5