21, 24, 25, 27, 30, 32, 33, 34, 34, 36, 41, 44 which is the range whixh is the iqr

1 answer

The range of the given data set is 44 - 21 = 23.

To calculate the Interquartile Range (IQR), we first need to find the first quartile (Q1) and the third quartile (Q3).

Given data set: 21, 24, 25, 27, 30, 32, 33, 34, 34, 36, 41, 44

To find Q1 and Q3, we need to arrange the data in ascending order:

21, 24, 25, 27, 30, 32, 33, 34, 34, 36, 41, 44

Q1 is the median of the lower half of the data set, which in this case is: 24, 25, 27, 30, 32 = 27 (Q1)

Q3 is the median of the upper half of the data set, which in this case is: 34, 34, 36, 41, 44 = 36 (Q3)

Therefore, the IQR is: Q3 - Q1 = 36 - 27 = 9

So, the IQR of the given data set is 9.