Question

Table 4 shows the salaries of 110 faculty members (in thousands of Rupees) of a reputed...

Table 4 shows the salaries of 110 faculty members (in thousands of Rupees) of a reputed University.

SALARY RANGE FREQUENCY
40-79 44
80-119 35
120-159 24
160-199 20
200-239 14
240-279 7
280-319 4
320-359 2

Use the aforementioned frequency distributed data to determine the following;

  1. Range
  2. Mean Deviation
  3. Standard Deviation
  4. Variance

Part – B:                                                                                                                                                                  

Using the Karl Pearson’s measure of Skewness, find the coefficient of skewness for each distribution, and describe the shape of the distribution.

  1. Mean = 19.5, median = 22.7, standard deviation = 7.
  2. Mean = 43.5, mode = 37.6, standard deviation = 6.2.
  3. Mean = 136.25, median = 132.75, variance = 36.
  4. Mean = median = 194.23

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