Can you tell me the Q1, Q3, IQR,
Values lower than blank and higher than blank are considered outliers, The outlier in this data set is blank
{ 14, 14, 17,:18, 20, 21, 22, 24, 25, 47}
To find the quartiles and IQR, we first need to sort the data set in ascending order:
{14, 14, 17, 18, 20, 21, 22, 24, 25, 47}
Q1 (first quartile) is the median of the lower half of the data set:
Q1 = (17 + 18) / 2 = 17.5
Q3 (third quartile) is the median of the upper half of the data set:
Q3 = (22 + 24) / 2 = 23
IQR (interquartile range) is the difference between Q3 and Q1:
IQR = Q3 - Q1 = 23 - 17.5 = 5.5
To identify outliers, we first need to calculate the lower and upper bounds. Any value lower than the lower bound or higher than the upper bound is considered an outlier.
Lower bound = Q1 - 1.5 * IQR
Lower bound = 17.5 - 1.5 * 5.5 = 9.25
Upper bound = Q3 + 1.5 * IQR
Upper bound = 23 + 1.5 * 5.5 = 31.75
In this data set, values lower than 9.25 or higher than 31.75 are considered outliers.
The outlier in this data set is 47, as it is higher than the upper bound (31.75).