HBL Bank Pvt LtD. is studying its ATM use in the Gulshan-e-Iqbal are
veudeje
Answered question
2021-11-26
Identify the presence of outliers in this dataset After removing the outliers (if present) from the given dataset, what is the expected or average number of times (in seconds) the ATM is used in the new dataset (if outliers were detected and removed). Show your results with errors in the statistical expected or average value.
Answer & Explanation
Ralph Lester
Beginner2021-11-27Added 16 answers
The values beyond the
Mean and standard deviation:
Here, the given data represent the sample.
The mean of the data set is,
First and third quartile:
- Type the data in an excel sheet.
- In an empty cell, type "=QUARTILE. INC (A1:A30,1)" and click enter. Thus, first quartile is obtained as 52.715.
- Similarly, in an empty cell, type "=QUARTILE.INC (A1:A30,3)" and click enter. Thus, third quartile is obtained as 84.21.
The IQR is,
The outlier is,
In the data set, the outlier values are 5.11, 177.21, and 195.13.
Hence, the data 5.11, 177.21, and 195.13 are removed from the data set.
2. Mean of new data set:
The mean of the data set (in which the outlier is removed) is,
After removing the outliers from the given dataset, the expected or average number of times (in seconds) the ATM is used in the new dataset (after outliers are detected and removed) is 65.3648.
Errors in the statistical expected or average value:
The errors in the statistical expected or average value is 6.0452.
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