NCERT Class XI Mathematics - Statistics - Solutions | Question 9

NCERT Class XI Mathematics - Statistics - Solutions

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Question : 9

Total: 34

Income per day	Number of persons
0 - 100	4
100 - 200	8
200 - 300	9
300 - 400	10
400 - 500	7
500 - 600	5
600 - 700	4
700 - 800	3

Solution:

Income per day	Mid values xi	fi	fixi	\|xi−358\|	fi\|xi−358\|
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 (

−

x

) =

1

N

n

Σ

i=1

fixi =

1

50

× 17900 = 358
Mean deviation about mean = (

−

x

) =

1

N

n

Σ

i=1

fi|xi−

−

x

| =

1

50

× 7896 = 157.92

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