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Statistics

Short Answer Type

271.

Find the mean of the following frequency distribution.

Class-Interval	0-8	8-16	16-24	24-32	32-40
Frequency	8	10	15	9	8

111 Views

Long Answer Type

272.

Find the value of P, if the mean of the following distribution is 18.

x:	13	15	17	19	20 + p	23
f:	8	2	3	4	5p	6

1602 Views

Short Answer Type

273.

The following table shows markes scored by 140 students in a examinations.

Marks	0-10	10-20	20-30	30-40	40-50
No. of Sutdents	20	24	40	36	20

Calculate mean marks by using assumed mean method.

142 Views

274.

Find the mean of the following data

Class-lnterval	15-25	25-35	35-45	45-55	55-65
Frequency	60	35	22	18	15

139 Views

275.

The following table represents the wages of 50 workers in a factory.

Wages (in Rs.)	1450	1475	1500	1525	1550
No. of workers	12	13	7	10	8

Find the average wage of a workers.

108 Views

Long Answer Type

276.
The following table represents the expenditure on the usage of water by 70 families in a locality. Find the average expenditure per family.

Exp. water (in Rs.)

15-20

20-25

25-30

30-35

35-40

40-45

45-50

50-55

No. of families

7

8

7

8

10

15

7

8

Here, we have
A (assumed mean) = 37.5,

sum from blank to blank of f subscript i equals 70 comma space space space sum from blank to blank of f subscript i u subscript i equals negative 21 space a n d space h space equals space 5

Now,

top enclose straight x equals A plus fraction numerator begin display style sum from blank to blank of end style f subscript i u subscript i over denominator begin display style sum from blank to blank of end style f subscript i end fraction cross times h equals 37.5 plus open parentheses fraction numerator negative 21 over denominator 70 end fraction close parentheses cross times 5 equals 37.5 minus 21 over 14 equals 27.5 minus 1.5 equals 3.6

Hence, the average expenditure per family is 36.

101 Views

Short Answer Type

277.

The following table shows marks scored by 140 students in an examination.

Marks	0-10	10-20	20-30	30-40	40-50
No. of students	20	24	40	36	20

Calculate mean marks by Step Deviation Method.

332 Views

Long Answer Type

278.

The mean of the following frequency distribution is 62.8 and the sum of all frequencies is 50. Compute the missing frequency f₁ and f₂.

C.I.	0-20	20-40	40-60	60-80	80-100	100-120	Total
f	5	f₁	10	f₂	7	8	50

2780 Views

279.

The mean of the following frequency distribution is 132 and the sum of observations is 50. Find the missing frequency f₁ and f₂.

Class	0-40	40-80	80-120	120-160	160-200	200-240
Freq.	4	7	f₁	12	f₂	9

1145 Views

280.

The mean of the following frequency table is 53. But the frequencies f₁ and f₂ in the classes 20-40 and 60-80 arc missing. Find the missing frequencies.

Age (in years)	0-20	20-40	40-60	60-80	80-100	Total
Number of people	15	f₁	21	f₂	17	100

3182 Views

Exp. water (in Rs.)	15-20	20-25	25-30	30-35	35-40	40-45	45-50	50-55
No. of families	7	8	7	8	10	15	7	8

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Short Answer Type

Long Answer Type

Short Answer Type

Long Answer Type

276. The following table represents the expenditure on the usage of water by 70 families in a locality. Find the average expenditure per family. Exp. water (in Rs.) 15-20 20-25 25-30 30-35 35-40 40-45 45-50 50-55 No. of families 7 8 7 8 10 15 7 8

Short Answer Type

Long Answer Type

276.
The following table represents the expenditure on the usage of water by 70 families in a locality. Find the average expenditure per family.

Exp. water (in Rs.)

15-20

20-25

25-30

30-35

35-40

40-45

45-50

50-55

No. of families

7

8

7

8

10

15

7

8