A companys raw data sample of weekly salaries in dollars is

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A company's raw data sample of weekly salaries (in dollars) is shown below.

210   370   530   370   740   530    

370   530   210   370   1140   210

A frequency distribution of this data set, based on a single-value grouping, is presented below with a third column showing the xf-values-the class midpoint (which here is the same as the class) times the class frequency.

  

Salary(x)

  
  

Frequency(f)

  
  

Salary*Frequency(xf)

  
  

210

  
  

3

  
  

630

  
  

370

  
  

4

  
  

1480

  
  

530

  
  

3

  
  

1590

  
  

740

  
  

1

  
  

740

  
  

1140

  
  

1

  
  

1140

  

(i). Use the raw data to obtain the sample standard deviation of the ungrouped data. Round your answer to two decimal places.

(ii). Use the grouped-data formula to obtain the sample standard deviation of the grouped data in the frequency distribution. Round your answer to two decimal places.

(iii). Compare your answers in parts (i) and (ii).

Reference no: EM13607852

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