Compute percentile coefficient of kurtosis from the following data and interpret the result.

Question

Suresh Chand · Accepted Answer

Solution: x f cf 23-27 22 22 28-32 16 38 33-37 9 47 38-42 4 51 43-47 3 54 48-52 1 55 N = 55 Now, Calculating P75: P75 = (75 left ( frac{N}{100} right )^{th} item) = (75 left ( frac{55}{100} right )^{th}) = 41.25th In cf, the value just greater than 41.25 is 4. so, class  = 33 - 37 Now, P75 = (L + frac{frac{75 N}{100} - cf}{f} times i) = (33 + frac{41.25 - 38}{9} times 4) = 34.45 Calculating P25: P25 = (25 left ( frac{N}{100} right )^{th} item) = (25 left ( frac{55}{100} right )^{th}) = 13.75th In cf, the value just greater than 13.755 is 22. so, class  = 23 - 27 Now, P25 = (L + frac{frac{25 N}{100} - cf}{f} times i) = (23 + frac{13.75 - 0}{22} times 4) = 23.625 Calculating P90: P90 = (90 left ( frac{N}{100} right )^{th} item) = (90 left ( frac{55}{100} right )^{th}) = 49.5th In cf, the value just greater than 49.5 is 51. so, class  = 38 - 42 Now, P90 = (L + frac{frac{90 N}{100} - cf}{f} times i) = (23 + frac{49.5 - 47}{4} times 4) = 40.5 Calculating P10: P10 = (10 left ( frac{N}{100} right )^{th} item) = (10 left ( frac{55}{100} right )^{th}) = 5.5th In cf, the value just greater than 5.5 is 21. so, class  = 23-27 Now, P10 = (L + frac{frac{10 N}{100} - cf}{f} times i) = (23 + frac{5.5 - 0}{22} times 4) = 24 Now, Percentile cofficient of Kurtosis = (frac{P_{75} - P_{25}}{2(P_{90} - P_{10})}) = (frac{34.45 - 23.625}{2(40.5 - 24)}) = (frac{10.825}{33}) = 0.33

Compute percentile coefficient of kurtosis from the following data and interpret the result.

Hourly wages (Rs) 23-27 28-32 33-37 38-42 43-47 48-52

Number of workers 22 16 9 4 3 1

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Hourly wages (Rs)	23-27	28-32	33-37	38-42	43-47	48-52
Number of workers	22	16	9	4	3	1

Question

Compute percentile coefficient of kurtosis from the following data and interpret the result. Hourly wages (Rs) 23-27 28-32 33-37 38-42 43-47 48-52 Number of workers 22 16 9 4 3 1

Leave your Answer:

Compute percentile coefficient of kurtosis from the following data and interpret the result.

Hourly wages (Rs) 23-27 28-32 33-37 38-42 43-47 48-52

Number of workers 22 16 9 4 3 1