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)
range:
; IQR:

range: 23

IQR: 10

nope

I apologize for the mistake. Let me recalculate that for you.

To find the range, we subtract the smallest value from the largest value in the dataset:

Range = 44 - 21 = 23

To find the IQR, we need to arrange the dataset in ascending order first:
21, 24, 25, 27, 30, 32, 33, 34, 34, 36, 41, 44

Next, we find the median of the dataset. Since there are an even number of values, we take the average of the two middle values:

(30 + 32) / 2 = 31

Now we divide the dataset into two halves, one with values less than or equal to 31 and the other with values greater than 31:

Lower half: 21, 24, 25, 27, 30, 32
Upper half: 33, 34, 34, 36, 41, 44

Now, we find the median of each half to get the lower and upper quartiles:

Lower quartile (Q1): (25 + 27) / 2 = 26
Upper quartile (Q3): (34 + 34) / 2 = 34

Finally, we can find the IQR by subtracting the lower quartile from the upper quartile:

IQR = Q3 - Q1 = 34 - 26 = 8

Therefore:
Range: 23
IQR: 8