Find the value of p if mean of following distribution is 20. X

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 Multiple Choice QuestionsShort Answer Type

51.

The following number of goals were scored by a team in a series of 10 matches :
2, 3, 4, 5, 0, 1, 3, 3, 4, 3
Find the mean, median and mode of these scores.

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52.

n a Mathematics test given to 15 students, the following marks (out of 100) are recorded :

41, 39, 48, 52, 46, 62, 54, 40, 96,
52, 98, 40, 42, 52, 60

Find the mean, median and mode of this data.

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53.

The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x.

29, 32, 48, 50, x, x + 2, 72, 78, 84, 95

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54. Find the mode of 14, 25. 14, 28, 18, 17, 18, 14, 23, 22, 14. 18
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55.

Find the mean salary of 60 workers of a factory from the following table :

Salary (in Rs.)

Number of workers

3000

16

4000

12

5000

10

6000

8

7000

6

8000

4

9000

3

10000

1

Total

60

262 Views

56.

Give one example of a situation in which
(i) the mean is an appropriate measure of central tendency
(ii) the mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.

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57.

Find the value of p if mean of following distribution is 20.

X

f

15

2

17

3

19

4

20 + p

5p

23

6


ol.

x

f

fx

15

2

30

17

3

51

19

4

76

20 + p

5p

5p(20 + p)

23

6

138

Total

5p + 15

295 + l00p + 5p2


space space space space space space space space space space space space space space space space space space space space space Mean space equals space fraction numerator sum fx over denominator sum straight f end fraction
rightwards double arrow space space space space space space space space space space space space 20 equals fraction numerator 295 plus 100 straight p plus 5 straight p squared over denominator 5 straight p plus 15 end fraction
rightwards double arrow space space space space space 20 left parenthesis 5 straight p plus 15 right parenthesis equals 295 plus 100 straight p plus 5 straight p squared
rightwards double arrow space space space space 100 straight p plus 300 equals 295 plus 100 straight p plus 5 straight p squared
rightwards double arrow space space space space space space space space space space 5 straight p squared equals 5
rightwards double arrow space space space space space space space space space space straight p squared equals 1
rightwards double arrow space space space space space space space space space space straight p space equals space 1
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58.

Find the mean open parentheses top enclose x close parentheses of first ten prime numbers and hence show that  sum from straight i equals 1 to 10 of space left parenthesis x subscript i minus top enclose x right parenthesis equals 0

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59.

Find the mean of the following data:

x

f

10

3

12

10

20

15

25

7

35

5

103 Views

60.

Find the mean salary of 60 workers of a factory from the table:

Salary per worker (in र)

No. of workers

300

17

400

13

500

11

600

9

700

6

800

4

108 Views

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