Question

What is the IQR of 11,11.5,10.5,17,14.5,18,17,19

Answer 1

6.25

Explanation:

10.5, 11, 11.5, 14.5, 17, 17, 18, 19

Median: 15.75

Lower quartile: 11.25

Upper quartile: 17.5

Interquartile range: 17.5 - 11.25 = 6.25

Answer 2

Ascending order :-

10.5 , 11 , 11.5 , 14.5 , 17 , 17 , 18 , 19

Median,

={(n/2)th + (n/2 +1)th}/2

={(4)th + (5)th}/2

=(31.5)/2

=15.75

I.Q.R.,

Median of lower half,

={(n/2)th + (n/2 +1)th}/2

={(2)th + (3)th}/2

=(22.5)/2

= 11.25

Median of upper half,

={(n/2)th + (n/2 +1)th}/2

={(2)th + (3)th}/2

=35/2

=17.5

I.Q.R. = 17.5 - 11.25 = 6.25

HOPE THIS WILL HELP YOU