Answer:
29
Explanation:
The formula for lower quartile(Q1) = 1/4(n + 1)th term
Where n = number of terms.
For Data set A = 73, 75, 79, 81, 84, 85, 86, 86, 89, 91, 94, 95
n = 12
Q1 = 1/4 (n + 1) th term
Q1 = 1/4(12 + 1) th term
Q1 = 1/4(13) th term
Q1 = 3.25th term
The 3.25th term is data set A is between the 3rd and 4th term
3rd term = 79
4th term = 81
3.25th term = 79 + 81/2
= 160/2
= 80
For Data set B = 47, 49 , 51, 51, 55, 56, 57, 58, 59, 59, 61, 62
n = 12
Q1 = 1/4 (n + 1) th term
Q1 = 1/4(12 + 1) th term
Q1 = 1/4(13) th term
Q1 = 3.25th term
The 3.25th term is data set A is between the 3rd and 4th term
3rd term = 51
4th term = 51
3.25th term = 51 + 51/2
= 102/2
= 51
The difference between the lower quartile of Data Set A and Data Set B =
80 - 51 = 29