Measures Of Dispersion - Class 11 Commerce Economics - Extra Questions

Find out the standard deviation from the following data:
1281713159181161


2143367_2023485_ans_23f189f8b35b4b3f907bb3f1a9ad059e.jpeg


From the following table, find out Standard Deviation, Coefficient of standard deviation.
Class 
Intervals		Frequency
0-22
2-44
4-66
6-84
8-102
10-128


2142604_2023131_ans_59efad9625e84830af9597fdf3062d9e.png


Find the lower quartile deviation (Q1):
Marksf
0-103
10-2010
20-3017
30-407
40-506
50-604
60-702
70-803

Solution is as follows:
2148769_2026943_ans_d95cf72e73b74430ab35917d38763774.PNG


Calculate Standard Deviation of the following data:

Class Intervals

Frequency

1-3

40

3-5

30

5-7

20

7-9

10



Find out standard deviation:
X: 10, 15, 20, 25, 30, 35, 40.



Find Standard Deviation of the following distribution using Step Deviation Method (Assume mean = 27.5).

Size (in cm.)

No. of Items

10-15

2

15-20

8

20-25

20

25-30

35

30-35

20

35-40

15



Calculate standard deviation from the following data using the assumed mean method and A = 5.

Marks

No. of students

0-2

2

2-4

4

4-6

6

6-8

4

8-10

2

10-12

6



Find the upper quartile deviation (Q3):
Marksf
0-103
10-2010
20-3017
30-407
40-506
50-604
60-702
70-803

Solution is given as follows:
2148784_2026944_ans_4fed4361d80346808482396e3410926b.PNG


Calculate standard deviation using step deviation method from the following information:

Class Interval

Frequency

0-5

15

5-10

10

10-15

11

15-20

12

20-25

6

25-30

6

30-35

10

35-40

15

40-45

10

45-50

5



Calculate the standard deviation from the following data by step deviation method using 15 as assumed mean.

Class Interval

Frequency

10-20

4

20-30

8

30-40

8

40-50

16

50-60

12

60-70

6

70-80

4



Calculate the standard deviation using assumed mean method from the following information:

Weeks

COVID Patients (‘000)

0-4

600

4-8

400

8-12

250

12-16

200

16-20

300

20-24

350

24-28

450

28-32

500

32-36

750

36-40

900



Distribution of annual income of 300 households in a locality is given below, Calculate the standard deviation of the Income.

Annual Income

No. of households

150-200

25

200-250

160

250-300

50

300-350

30

350-400

20

400-450

10

450-500

5


2160061_2033394_ans_4467222a3a6842d0b64e9df404767a27.PNG


The measurements of the diameters (in cms) of the plates prepared in a factory are given below. Find its standard deviation.
Diameter (cm)21-2425-2829-3233-3637-4041-44
Number of plates1518201687


2138987_2021795_ans_8b9d5af8b192475f80d70f9ba75bfca8.jpeg


For two firms A and B belonging to same industry, the following details are available:
  Firm A Firm B
Number of employees 100 200
Average monthly wage Rs.4,800 Rs.5,100 
Standard deviation Rs.600 Rs.540 
Find combined average monthly wage and the standard deviation of the wages of all the employees in both the firms.



Class 11 Commerce Economics Extra Questions