range: 23
IQR: 10
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:
5 answers
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
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
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