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Get Full Access to Elementary Statistics - 12 Edition - Chapter 3.2 - Problem 30bsc
Get Full Access to Elementary Statistics - 12 Edition - Chapter 3.2 - Problem 30bsc

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# Solved: In Exercises, find the mean of the data summarized

ISBN: 9780321836960 18

## Solution for problem 30BSC Chapter 3.2

Elementary Statistics | 12th Edition

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Problem 30BSC

Problem 30BSC

In Exercises, find the mean of the data summarized in the given frequency distribution. Also, compare the computed means to the actual means obtained by using the original list of data values, which areasfoüows: 44.1 years;.

 Age of Best Actor When Oscar Was Won Frequency 20–29 1 30–39 26 40–49 35 50–59 13 60–69 6 70–79 1

Step-by-Step Solution:
Step 1 of 3

Problem 30BSC

Step1 of 3:

We have the data summarized in the given frequency distribution.

 Age of Best Actor When Oscar Was Won Frequency 20–29 1 30–39 26 40–49 35 50–59 13 60–69 6 70–79 1

Step2 of 3:

We need to find the mean of the data summarized in the given frequency distribution. Also, compare the computed means to the actual means obtained by using the original list of data values, which areasfoüows: 44.1 years.

Step3 of 3:

Consider,

 Age of Best Actor When Oscar Was Won Frequency(f) x fx 20–29 1 24.5 24.5 30–39 26 34.5 897 40–49 35 44.5 1557.5 50–59 13 54.5 708.5 60–69 6 64.5 387 70–79 1 74.5 74.5 N=82 3649

Where x is the mid value of class intervals and it is calculated by

and so on..

The mean of the data summarized in the given frequency distribution is given by

=

= 44.5 years

This result is not substantially different from the mean of 44.1 found by using the original list of data values.

Step 2 of 3

Step 3 of 3

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Solved: In Exercises, find the mean of the data summarized