The mean median and standard deviation.
Answer to Problem 4.70P
The values of mean, median and standard deviation are
Explanation of Solution
Given:
The number of sample subsets are
The number of measured values in each sample subset are
Formula used:
The expression foraverage of each subset of samplesis given as,
Here,
The expression formean or average of averages is given as,
The expression formedian is given as,
Here,
The expression forstandard deviation is given as,
Here,
Calculation:
The average of the first subset can be calculated as,
The average of the second subset can be calculated as,
The average of the third subset can be calculated as,
The average of the fourth subset can be calculated as,
The average of the fifth subset can be calculated as,
The average of the sixth subset can be calculated as,
The mean can be calculated as,
For the calculation of median arrange the data in increasing order,
The median can be calculated as,
Standard deviation can be calculated as,
Conclusion:
Therefore, the values of mean, median and standard deviation are
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