Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
118, 124, 108, 116, 99, 125, 138, 118, 119, 121, 65, 130, 120
Ordered data:
65, 99, 108, 116, 118, 118, 119, 120, 121, 124, 125, 130, 138
1.)
90th percentile :
0.9(n + 1)th term
n = sample size = 13
0.9(14) th term
= 12.6th term
= (12 + 13)th / 2
= (130 + 138) / 2
= 134
Third quartile (Q3) = 75th percentile
0.75(n + 1)th term
n = sample size = 13
0.75(14) th term
= 10.5th term
= (10 + 11)th / 2
= (124 + 125) / 2
= 124.5
What is the first quartile?
First quartile (Q1) :
0.25(n + 1)th term
n = sample size = 13
0.25(14) th term
= 3.5th term
= (3 + 4)th / 2
= (108 + 116) / 2
= 112
(4) What is the 10th percentile?
0.1(n + 1)th term
n = sample size = 13
0.1(14) th term
= 1.4th term
= (1 + 2)th / 2
= (65 + 99) / 2
= 82
(5) 65tb percentile :
0.65(n + 1)th term
n = sample size = 13
0.65(14) th term
= 9.1th term
= (9 + 10)th / 2
= (121 + 124) / 2)
= 122.5
(6) What is the IQR?
Q3 - Q1
124.5 - 112
= 12.5
(7) What are the lower and upper limits?
Maximum = 138
Minimum = 65
