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Statistics

Short Answer Type

221. Find the mode of the observations 17, 23, 25, 18, 17, 23, 19, 23, 17, 26, 23. If 4 is subtracted from each observation, what will be the mode of the new observations?

112 Views

222. A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house.

Number of plants	Number of houses
0-2	1
2-4	2
4-6	1
6-8	5
8-10	6
10-12	2
12-14	3

Which method did you use for finding the mean and why?

1258 Views

223.

Consider the following distribution of daily wages of 50 workers of a factory:

Daily wages (in Rs.)	Number of workers
100-120	12
120-140	14
140-160	8
160-180	6
180-200	10

Find the mean daily wages of the workers of the factory by using an appropriate method.

990 Views

224.

The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs. 18. Find the missing frequency 'f'.

Daily pocket allowance (in Rs.)	11-13	13-15	15-17	17-19	19-21	21-23	23-25
No. of childrens	7	6	9	13	f	5	4

1158 Views

225.

Thirty women were examined in a hospital by a doctor and the number of heart beats per minute were recorded and summarised as follows. Find the mean heart beats per minute for these women, choosing a suitable method.

Number of heart beats per minute	65-68	68-71	71-74	74-77	77-80	80-83	83-86
Number of women	2	4	3	8	7	4	2

681 Views

226.
In a retail market, fruit venders were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes. Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

No. of Mangoes

50-52

53-55

56-58

59-61

62-64

No. of boxes

15

110

135

115

25

Here
We have,

HereWe have,             Now,

Now,

top enclose straight x space equals space 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 x space h equals 57 plus fraction numerator 37.50 over denominator 400 end fraction x 2 equals 57 plus fraction numerator 37.50 over denominator 200 end fraction

= 57 + 0.1875 = 57.1875

625 Views

227.

The table below shows the daily expenditure on food of 25 household in a locality.

Daily Exp. (in Rs.)	100-150	150-200	200-250	250-300	300-350
No. of house hold	4	5	12	2	2

Find the mean daily expenditure on food by a suitable method.

281 Views

228.

To find out the concentration of SO₂ in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below:

Concentration of SO₂ (in ppm)	0.00-0.04	0.04-0.08	0.08-012	0.12-0.16	0.16-0.20	0.20-0.24
Frequencey	4	9	9	2	4	2

Find the mean concentration of SO₂ in the air.

154 Views

229.

A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.

Number of days	0-6	6-10	10-14	14-20	20-28	28-38	38-40
Number of students	11	10	7	4	4	3	1

247 Views

230.

The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.

Literacy rate (in %)	45-55	55-65	65-75	75-85	85-95
Number of cities	3	10	11	8	3

202 Views

No. of Mangoes	50-52	53-55	56-58	59-61	62-64
No. of boxes	15	110	135	115	25