Problems
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9

Given the statistical distribution of the table.

x_i	61	64	67	70	73
f_i	5	18	42	27	8

Calculate:

1 The mode, median and mean.

2 The range, average deviation, variance and standard deviation.

x_i	f_i	F_i	x_i · f_i	\|x − x \|	\|x − x \| · f_i	x_i² · f_i
61	5	5	305	6.45	32.25	18 065
64	18	23	1152	3.45	62.10	73 728
67	42	65	2814	0.45	18.90	188 538
71	27	92	1890	2.55	68.85	132 300
73	8	100	584	5.55	44.40	42 632
	100		6745		226.50	455 803

Mode

Mo = 67

Median

102/2 = 50 Me = 67

Mean

Average Deviation

Range

r = 73 − 61 = 12

Variance

Standard Deviation