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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 1.2 - Problem 2e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 1.2 - Problem 2e

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# Is the sample mean always the most frequently occur ring ISBN: 9780073401331 38

## Solution for problem 2E Chapter 1.2

Statistics for Engineers and Scientists | 4th Edition

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Problem 2E

Problem 2E

Is the sample mean always the most frequently occur ring value? If so, explain why. If not, give an example.

Step-by-Step Solution:
Step 1 of 3

Solution 2E

Step1 of 2:

We have statement that the sample mean always the most frequently occurring value.

We need to check is the given statement is correct or not. If correct explain why. If not, give an example.

Step2 of 2:

Let us understand what is mean.

Consider,

Mean:mean can be simply defined as it is the average of all observations.

Let be a observations have a sample size N.then the mean of all observations is given by Where,

x = random variable = mean

N = sample size.

Conclusion:

NO,Consider a case where all of the numbers are clustered between 10 and 12 and one of the numbers is outside of this range and equals 10,000.In this case, the most frequently occurring number will be one of the numbers between 10 and 12.Therefore, The sample mean will probably be out of this range and there may have been no actual observations that equaled the mean.

Step 2 of 3

Step 3 of 3

##### ISBN: 9780073401331

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