Management homework help. Mean, Median, and Mode

Find the mean, median, mode, range, interquartile range, and standard deviation of the following two examples.

Example 1

X (income)	No. of persons
200	24
250	26
180	16
300	20
350	6
280	30

Mean: Total X (income) = 1560 / 6 = 260 ———– Total No. of persons = 122 / 6 = 20.3333333
Median:  X (income) 265 ———- Total No. of persons 22
Mode: 200, 250, 180, 300, 350, 280 Min (180)  Max (350) —- 24, 26, 16, 20, 6, 30 Min (6) Max (30)
Range: 170 ——- 24
Interquartile Range: (XU-XL) : 117.5 —— (XU-XL): 13.5
Standard Deviation:
INCOME Count 6, Total 1560 Mean 260 / SqR of Variance 6356099433
Total No. of persons Count 6, Total 122 Mean 20.333333 / SqR of Variance 8.524474567

Example 2

X (income)	No. of persons	Cumulative frequency (cf)
180	16	16
200	24	40
250	26	66
280	30	96

Mean: X (income) 227.5 No. of persons 24 Cumulative frequency (cf) 54.5
Median: X (income) 225 No. of persons 25 Cumulative frequency (cf) 53
Mode: X (income) 180, 200, 250, 280 No. of persons 16, 24, 26, 30 Cumulative frequency (cf) 16, 40, 66, 96
Range: X (income) 100 No. of persons 14 Cumulative frequency (cf) 80
Interquartile Range: X (income) 87.5 No. of persons 11 Cumulative frequency (cf) 66.5
Standard Deviation: X (income) 45.73474245
No. of persons 5.887840578
Cumulative frequency (cf) 34.38507428
 
 
 
 

Management homework help