The average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2. Three scores extracted from the test are; 148, 102, 152. What is the average of the extracted scores that are extreme values (outliers)?
Answers
The average of the extracted scores that are extreme values is 102
Step-by-step explanation:
Given average mark of candidate (Mean) = 128.5
Standard Deviation = 8.2
As per mean and standard deviation method, the extreme values (outliers) are beyond the range
Mean ± 3 × Standard Deviation
This range will be
128.5 - 3 × 8.2 to 128.5 + 3 × 8.2
= 103.9 to 153.1
The three scores extracted are 148, 102, 152
Out of these three scores only 102 is beyond the range above
Therefore, only 102 is the outlier
The average will be 102 only.
Hope this answer is helpful.
Know More:
Similar question
https://brainly.in/question/17882994
Q: Which one of these statistics is unaffected by outliers?
Click Here: https://brainly.in/question/8984193
Given : The average marks of candidates in an aptitude test was 128.5 with a standard deviation of 8.2. Three scores extracted from the test are; 148, 102 and 152.
To find : average of the extracted scores that are the extreme values (outliers)
Solution:
The average marks of candidates in an aptitude test was 128.5
=> Mean = 128.5
Standard Deviation = 8.2
outlier will be out sides then range Mean ± 3* SD
128.5 ± 8.2 × 3
= 128.5 ± 24.6
Range is ( 103.9 , 153.1)
102 is outside this range
Hence outlier would be 102
Average of 102 will be 102
Learn more:
Sora was given two data sets, one without an outlier and one with an ...
brainly.in/question/16801317
Which set of data contains one outlier? 15, 19, 26, 51, 18, 21 22, 33 ...
brainly.in/question/10416794
https://brainly.in/question/17882994