Find the measures of variability and any outliers for the data set.
{107, 82, 93, 112, 120, 95, 98, 56, 109, 110}
Answer
Attempt 1 out of 4
The range is
The IQR is
The outliers are
(If there aren't any, type "none")
The range is 64 (120 - 56).
To find the IQR, we need to first order the data set:
{56, 82, 93, 95, 98, 107, 109, 110, 112, 120}
Q1 = 93 and Q3 = 110
IQR = Q3 - Q1 = 110 - 93 = 17
To check for outliers, we calculate the lower and upper bounds:
Lower bound: Q1 - 1.5 * IQR = 93 - 1.5 * 17 = 93 - 25.5 = 67.5
Upper bound: Q3 + 1.5 * IQR = 110 + 1.5 * 17 = 110 + 25.5 = 135.5
There are no outliers in this data set.