Income per day Number of persons 0 - 100 4 ...

NCERT Class XI Mathematics - Statistics - Solutions

Question : 9 of 34

Marks: +1, -0

Solution:

Income per day	Mid values $x_i$	$f_i$	$f_i x_i$	$\left\| x_i - 358 \right\|$	$f_i \left\| x_i - 358 \right\|$
0 - 100	50	4	200	308	1232
100 - 200	150	8	1200	208	1664
200 - 300	250	9	2250	108	972
300 - 400	350	10	3500	8	80
400 - 500	450	7	3150	92	664
500 - 600	550	5	2750	192	960
600 - 700	650	4	2600	292	1168
700 - 800	750	3	2250	392	1176
		50	17900		7896

Mean

(\overline{x})

\frac{1}{N} \sum\limits_{i=1}^{n} f_i x_i

\frac{1}{50}

× 17900 = 358

Mean deviation about mean =

(\overline{x})

\frac{1}{N} \sum\limits_{i=1}^{n} f_i \left| x_i - \overline{x} \right|

\frac{1}{50}

× 7896 = 157.92

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