Question

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Answer 1

Answer: Lower Quartile= 21

Upper Quartile = 52

Interquartile range =31

Step-by-step explanation:

The given data : 45, 21, 3, 15, 32, 97, 68, 27, 29, 52.

Arrange in order ,

3, 15, 21, 27 , 29 ,32 , 45 , 52 , 68 , 97

Lower half = 3, 15, 21, 27 , 29

Upper half = 32 , 45 , 52 , 68 , 97

Lower Quartile $(Q_1)$ = Median of Lower half of data

$Q_1= 21$      [Median is the middle most term.]

Upper Quartile $(Q_2)$ = Median of Lower half of data

$Q_3= 52$   [Median is the middle most term.]

Interquartile range = $IQR= Q_3-Q_1$

$=52-21=31$

Answer 2

Lower Quartile-21
Upper Quartile-52
Interquartile Range- 31

Hope this helps !!