Answer:
IQR = 7
Step-by-step explanation:
To get the interquartile range of the set of data, the following steps must be followed:
Datas 4, 4, 6 , 7, 10 , 11 , 12, 14 ,15
Step 1: Rearrange the datas in ascending or descending order if not arranged.
4, 4, 6 7, 10, 11, 12, 14, 15
Step 2:
We will locate the (N+1/4)the cumulative value of the data where N is the total frequency of the data.
N = 4 + 4 + 6 + 7 + 10 + 11 + 12 + 14 + 15
N = 83
N+1/4 = 83+1/4
= 84/4
= 21st cumulative value
On cumulating the values up to the 21st value or more:
4 + 4 + 6 + 7
= 21
Since the 21st value falls on 7, then the interquartile range of the set of data is 7
