Question

6. Find the mean of the following distribution: [3]
Classes
Frequency
0-20
20
20-40
35
40-60
52
60-80
44
80-100
38
100-120
31



7. Find the mode: [3]
Classes
Frequency
1-10
2
11-20
8
21-30
12
31-40
6
41-50
3

8. The following table gives the daily wage distribution of 80 workers of a factory.
Find the Median daily wage of a worker. [3]
Daily wages (in Rs)
Number of workers
More than or equal to 0
80
More than or equal to 200
74
More than or equal to 400
66
More than or equal to 600
45
More than or equal to 800
25
More than or equal to 1000
17
More than or equal to 1200
10

9. Find the missing frequency if mode of the given data is 65 [3]
Classes
Frequency
0-50
12
50-100
13
100-150
15
150-200
X
200-250
15
250-300
13
300-350
11

10. The annual profits earned by 30 shops of a shopping complex in a locality is shown in
the following distribution. Draw both ogives for the data given below and hence obtain the
median profit. [3]
Profit(in lakhs)
Number of shops(f)
5-10
2
10-15
12
15-20
2
20-25
4
25-30
3
30-35
4
35-40
3

Answer 1

Answer:

So, should first find the upper and lower limits of the various classes. The difference between two consecutive values is h=125−115=10. ∴ Lower limit of a class = Mid-value- h/2, Upper limit = Mid-value + h/2. The cumulative frequency just greater than N/2 i.e.195 is 267 and the corresponding class is 150−160.

Answer 2

Answer:

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