The mean of data, represented by given diagram is : 1. 53 2. 47 3. 42 4. 51

Table from the given graph is : C.I. | Class mark (x) | Frequency (f) | fx -- | -- | --- | --- 40-50 | 45 | 40 | 1800 50-60 | 55 | 10 | 550 Total | | Σf = 50 | Σfx = 2350 By formula, Mean = = 47. Hence, Option 2 is the correct option.

Mathematics

The mean of data, represented by given diagram is :
53
47
42
51

Statistics

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Answer

Table from the given graph is :

C.I.	Class mark (x)	Frequency (f)	fx
40-50	45	40	1800
50-60	55	10	550
Total		Σf = 50	Σfx = 2350

By formula,

Mean = $\dfrac{Σfx}{Σf} = \dfrac{2350}{50}$ = 47.

Hence, Option 2 is the correct option.

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30 - 40	10
40 - 50	12
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x	f	fx
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20	20
30	x₂

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Mathematics

The mean of data, represented by given diagram is :53474251

Statistics

Answer

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The mean of data, represented by given diagram is :
53
47
42
51

The mean of observations, given in the adjoining table, is 20, the value of a is :
x f fx
10 10
20 a
30 10
20
30
10
25

If the mean of the data given in adjoining table is 20, the relation between x₁ and x₂ is :
x f fx
10 x₁
20 20
30 x₂
x₁ + x₂ = 30
x₁ - x₂ = 15
x₁ - x₂ = 0
x₁ + x₂ = 20

The following table gives the ages of 50 students of a class. Find the arithmetic mean of their ages.
Age (years) No. of students
16 - 18 2
18 - 20 7
20 - 22 21
22 - 24 17
24 - 26 3

The following are the marks obtained by 70 boys in a class test.
Marks No. of boys
30 - 40 10
40 - 50 12
50 - 60 14
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70 - 80 9
80 - 90 7
90 - 100 6
Calculate the mean by :
(i) Short-cut method
(ii) Step-deviation method