Answer:
Explanation:
To find the interquartile range (IQR) of the given data set, we first need to find the first and third quartiles (Q1 and Q3).
Arrange the data set in ascending order:
23, 32, 34, 39, 43, 48, 67, 76, 84, 93
Find the median of the entire data set:
Median = (43 + 48)/2 = 45.5
Divide the data set into two halves: the lower half (L) and the upper half (U). If the median value is included in the data set, we exclude it from both halves.
L: 23, 32, 34, 39, 43
U: 67, 76, 84, 93
Find the median of the lower half (L) and upper half (U) separately to find Q1 and Q3:
Q1 = median of L = (32 + 34)/2 = 33
Q3 = median of U = (76 + 84)/2 = 80
Calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 80 - 33 = 47
Therefore, the interquartile range (IQR) of the given data set is 47.