Find the mean, mode and median for the following data : Class

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 Multiple Choice QuestionsShort Answer Type

281.

Find the mode of the distribution from the following data.

Class

Frequcncy

10-15

3

15-20

2

20-25

10

25-30

7

30-35

20

35-40

5

40-45

8

94 Views

282.

Determine the value of mode from the following frequency distribution table.

Murks (C.I.)

No. of students (f)

0-10

5

10-20

12

20-30

14

30-40

10

40-50

8

50-60

6

247 Views

 Multiple Choice QuestionsLong Answer Type

283.

The marks distribution of 30 students in a mathematics are given in the table. Find the mode of this data. Also compare and interpret the mode and mean.

Class interval

Number of students (f)

10-25

2

25-40

3

40-55

7

55-70

6

70-85

6

85-100

6

235 Views

 Multiple Choice QuestionsShort Answer Type

284.

The following table shows the marks obtained by 100 students of class X in a school during a particular academic session. Find the mode of this distribution.

Marks

No. of students

Less than 10

7

Less than 20

21

Less than 30

34

Less than 40

46

Less than 50

66

Less than 60

77

Less than 70

92

Less than 80

100

3134 Views

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285.

Calculate the median of the following distribution of incomes of employees of a company.

Income

No. of Persons

400-500

25

500-600

69

600-700

107

700-800

170

800-900

201

900-1000

142

1000-1100

64

361 Views

 Multiple Choice QuestionsLong Answer Type

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286.

Find the mean, mode and median for the following data :

Class

0-10

10-20

20-30

30-40

40-50

Total

Frequency

8

16

36

34

6

100



I. Finding Mean.Wer have A = 25,                       =

I. Finding Mean.
Wer have A = 25, sum from blank to blank of f subscript 1 equals 100 comma space sum from blank to blank of f subscript i u subscript i equals 14 space a n d space h space equals space 10

N o w comma space space space space space space top enclose x equals 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 cross times h equals 25 plus 14 over 100 cross times 10
         
             = 25 + 1.4 = 26.4

II. Finding Meadian

We have, straight N over 2 equals 50 comma space space c f equals 124 comma space l equals space 20 comma space n equals 10 space a n d space f space equals 36
Now, 
 Median = l + fraction numerator begin display style straight N over 2 end style minus cf over denominator straight f end fraction cross times h
equals 20 plus fraction numerator 50 minus 24 over denominator 36 end fraction straight x space 10 space equals space 20 plus 26 over 36 straight x space 10
equals space 20 space plus space 65 over 9 equals fraction numerator 180 plus 65 over denominator 9 end fraction equals 245 over 9 equals 27.2

III. Finding Mode
We have,
Modal class = 20-30 l = 20, h = 10, f1 = 36, f0 = 16 and f2 = 34
Now,

Mode space equals space space l plus open square brackets fraction numerator straight f subscript 1 minus straight f subscript 0 over denominator 2 straight f subscript 1 minus straight f subscript 0 minus straight f subscript 2 end fraction close square brackets cross times straight h
space space space space space space space space equals space 20 plus open square brackets fraction numerator 36 minus 16 over denominator 2 cross times 36 minus 16 minus 24 end fraction close square brackets cross times 10
space space space space space space space space equals space 20 plus fraction numerator 20 over denominator 72 minus 50 end fraction cross times 10 equals 20 plus 20 over 22 cross times 10 equals 20 plus 200 over 22
space space space space space space space space equals space 28.8



 
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 Multiple Choice QuestionsShort Answer Type

287.

The median of the following data is 52.5. Find the values of x and y if the total frequency is 100. 

Class Interval

Frequency

0-10

2

10-20

5

20-30

x

30-40

12

40-50

17

50-60

20

60-70

y

70-80

9

80-90

7

90-100

4

 

Total 100

1979 Views

288.

Calculate the median from the following data:

Value

Frequency

Less than 10

4

Less than 20

16

Less than 30

40

Less than 40

76

Less than 50

96

Lc9s than 60

112

Less than 70

120

Less than 80

125

1819 Views

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289.

Calculate the median from the following data:

Size

Frequency

More than 50

0

More than 40

40

More than 30

98

More than 20

123

More than 10

165

 
193 Views

 Multiple Choice QuestionsLong Answer Type

290.

The median of the following data is 20.75. Find the missing frequencies x and y, if the total frequency is 100.  

Class Interval

0 - 5

5 - 10

10 - 15

15 - 20

20 - 25

25 - 30

30 - 35

35 - 40

Frequency

7

10

x

13

y

10

14

9

7298 Views

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