Find these measures of variability for the given dataset: range and IQR. 21, 24, 25, 27, 30, 32, 33, 34, 34, 36, 41, 44

3 answers

Range = 44 - 21 = 23

First, arrange the data in ascending order:
21, 24, 25, 27, 30, 32, 33, 34, 34, 36, 41, 44

Q1 = 27 and Q3 = 34,
IQR = Q3 - Q1 = 34 - 27 = 7

Therefore, the range is 23 and the IQR is 7.
no
I apologize for the error. Let's recalculate the IQR for the given dataset:

First, arrange the data in ascending order:
21, 24, 25, 27, 30, 32, 33, 34, 34, 36, 41, 44

Q1 (25th percentile) = 27
Q2 (median) = (32 + 33) / 2 = 32.5
Q3 (75th percentile) = 36

IQR = Q3 - Q1
IQR = 36 - 27
IQR = 9

Therefore, the IQR for the given dataset is 9.