To calculate the range, subtract the smallest value from the largest value:
Range = 44 - 21 = 23
To calculate the IQR, first find the median of the dataset by finding the middle value:
The median = (32 + 33) / 2 = 32.5
Next, split the dataset into two halves, and calculate the median of each half:
Lower half = 21, 24, 25, 27, 30, 32
Upper half = 34, 34, 36, 41, 44
Lower half median = (25 + 27) / 2 = 26
Upper half median = (34 + 36) / 2 = 35
IQR = Upper half median - Lower half median:
IQR = 35 - 26 = 9
Therefore, the range is 23 and the IQR is 9.
Find these measures of variability for the given dataset: range and IQR.
21, 24, 25, 27, 30, 32, 33, 34, 34, 36, 41, 44
(1 point)
1 answer