Find the measures of variability and any outliers for the data set.
{8, 3, 9, 14, 12, 11, 20, 23, 5, 26}
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 23 (26 - 3 = 23)
To find the interquartile range (IQR), we first need to find the first quartile (Q1) and the third quartile (Q3).
Q1 = 6.5
Q3 = 18.5
IQR = Q3 - Q1 = 18.5 - 6.5 = 12
To identify any outliers, we calculate the lower bound and upper bound:
Lower bound = Q1 - 1.5 * IQR = 6.5 - 1.5 * 12 = -12.5
Upper bound = Q3 + 1.5 * IQR = 18.5 + 1.5 * 12 = 36.5
Since all the values in the dataset are within the range of -12.5 and 36.5, there are no outliers.