Question - 11 : -
Find the number of households whose monthly expenditure on food is

(a) less than Rs 2000

(b) more than Rs 3000

(c) between Rs 1500 and Rs 2500

Answer - 11 : -

a) Number of households whose monthly expenditure on food is less than Rs 2000

= 20 + 13 = 33

b) Number of households whose monthly expenditure on food is more than Rs 3000

= 2+1+2+0+1 = 6

c) Number of households whose monthly expenditure on food is between Rs 1500 and Rs 2500

= 13 + 6 = 19

Question - 12 : -
In a city 45 families were surveyed for the number of domestic appliances they used. Prepare a frequency array based on their replies as recorded below.

1

3

2

2

2

2

1

2

1

2

2

3

3

3

3

3

3

2

3

2

2

6

1

6

2

1

5

1

5

3

2

4

2

7

4

2

4

3

4

2

0

3

1

4

3

Answer - 12 : -

Frequency Array ofappliances being used by households

_No. of Domestic Appliances	_No. of Households
0	1
1	7
2	15
3	12
4	5
5	2
6	2
7	1
Total	45

Question - 13 : -
What is ‘loss of information’ in classified data?

Answer - 13 : -

‘Loss of information’ is a major drawback of the classified data. The classification or grouping of raw data into classes makes it more concise and understandable. But simultaneously there exists loss of information. The calculations involved in the classified data or the continuous series are based on the class midpoints. The items in such series cannot be exactly measured and consequently, an individual observation loses its importance during the statistical calculations. Further, the statistical calculations are based on the values of the class marks, ignoring the exact observations of the data leading to the problem of loss of information.

Question - 14 : -
Do you agree that classified data is better than raw data?

Answer - 14 : -

The classified data has following advantages over the raw data.

1. Comprehensive-Raw data are large and entangled, whereas classified data are comprehensive and easily manageable.

2. Quick Information- It is troublesome to pick up information from unclassified data. Information can be easily collected from the classified data.

3. Conclusions - Classification facilitates comparisons and helps in drawing fast conclusions or inferences.

4. Saves Time and Energy- Classified data not only save our time but also our energy, which would otherwise be utilised in searching from entire lot of things.

Question - 15 : -
Distinguish between univariate and bivariate frequency distribution.

Answer - 15 : -

Univariate Frequency Distribution	Bivariate Frequency Distribution
The word ‘Uni’ means one. A series of statistical data showing the frequency of only one variable is called Univariate Frequency Distribution. In other words, the frequency distribution of single variable is called Univariate Frequency Distribution. For example- income of people, marks scored by students, etc.	The word ‘Bi’ means two. A series of statistical data showing the frequency of two variables simultaneously is called Bivariate Frequency Distribution. In other words, the frequency distribution of two variables is called Bivariate Frequency Distribution. For example- sales and advertisement expenditure, weight and height of individuals, etc.

Question - 16 : -
Prepare a frequency distribution by inclusive method taking class interval of 7 from the following data:

28

17

15

22

29

21

23

27

18

12

7

2

9

4

1

8

3

10

5

20

16

12

8

4

33

27

21

15

3

36

27

18

9

2

4

6

32

31

29

18

14

13

15

11

9

7

1

5

37

32

28

26

24

20

19

25

19

20

6

9

Answer - 16 : -

Class Interval	Tally marks	Frequency
0 – 7		15
8 – 15		15
16 – 23		14
24 – 31		11
32 – 39		5
Total		60

Free - Previous Years Question Papers


28	17	15	22	29	21	23	27	18	12	7	2	9	4
1	8	3	10	5	20	16	12	8	4	33	27	21	15
3	36	27	18	9	2	4	6	32	31	29	18	14	13
15	11	9	7	1	5	37	32	28	26	24	20	19	25
19	20	6	9


28	17	15	22	29	21	23	27	18	12	7	2	9	4
1	8	3	10	5	20	16	12	8	4	33	27	21	15
3	36	27	18	9	2	4	6	32	31	29	18	14	13
15	11	9	7	1	5	37	32	28	26	24	20	19	25
19	20	6	9

Chapter 3 Organisation of Data Solutions

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28	17	15	22	29	21	23	27	18	12	7	2	9	4
1	8	3	10	5	20	16	12	8	4	33	27	21	15
3	36	27	18	9	2	4	6	32	31	29	18	14	13
15	11	9	7	1	5	37	32	28	26	24	20	19	25
19	20	6	9