What are the big corporations doing with their wealth? One way to answer this question is to examine profits as percentage of assets. A random sample of 50 Fortune 500 companies gave the following information. (Source: Based on information from Fortune 500, Vol. 135, No. 8.) Estimate the sample mean, sample variance, and sample standard deviation for profit as percentage of assets. (Enter your answers to one decimal place.) find mean  find s2

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What are the big corporations doing with their wealth? One way to answer this question is to examine profits as percentage of assets. A random sample of 50 Fortune 500 companies gave the following information. (Source: Based on information from Fortune 500, Vol. 135, No. 8.) Estimate the sample mean, sample variance, and sample standard deviation for profit as percentage of assets. (Enter your answers to one decimal place.)

find mean 

find s2

 

Profit as percentage of assets
Number of companies
8.6-12.5
12.6-16.5
16.6-20.5
20.6-24.5
24.6-28.5
14
20
6.
5
Transcribed Image Text:Profit as percentage of assets Number of companies 8.6-12.5 12.6-16.5 16.6-20.5 20.6-24.5 24.6-28.5 14 20 6. 5
Expert Solution
Step 1

Arithmetic mean (x) is given as, 

x =1nfixii=15where, n is the total number of sample observations.f is the frequency.

For a given frequency distribution, the standard deviation is written as  

σ= 1nifi(xi-x)2

The mean square deviation is given as,

s2= 1nifi(xi-A)2where, A is an arbitrary number.

 

 

 

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