Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
85, 91, 83, 78, 79, 64, 81, 97
Ordered data : 78, 79, 81, 83, 85, 91, 97
Mean:
Σx / n =
n = sample size = 8
(64+78+79+81+83+85+91+97) / 8
= 658 / 8
= 82.25
Median = 1/2(n+1)th term
1/2(8+1)th term = 1/2 * 9 = 4.5th term
(4th term + 5th term) /2 = (81 + 83) / 2 = 82
Mode = 85, 91, 83, 78, 79, 64, 81, 97
Outlier:
Lower = Q1 - 1.5(IQR)
Upper = Q3 + 1.5(IQR)
Using a calculator :
Q1 = 78.5 ; Q3 = 88 ;
IQR = (Q3 - Q1)
(88 - 78.5) = 9.5
Outlier :
78.5 - 1.5(9.5) = values < 64.25
88 + 1.5(9.5) = values > 102.5
Hence. Outlier is 64
Removing the Outlier :
Data = 78, 79, 81, 83, 85, 91, 97
Mean = 84.85
Median = 83
Based on the result, the median is the best measure of central tendency for the data:
