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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Select the correct option from the given alternatives : The standard deviation of a distribution divided by the mean of the distribution and expressing in percentage is called: - Mathematics and Statistics

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प्रश्न

Select the correct option from the given alternatives :

The standard deviation of a distribution divided by the mean of the distribution and expressing in percentage is called:

पर्याय

  • Coefficient of Standard deviation

  • Coefficient of skewness

  • Coefficient of quartile deviation

  • Coefficient of variation

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उत्तर

The standard deviation of a distribution divided by the mean of the distribution and expressing in percentage is called: Coefficient of variation

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Standard Deviation
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Measures of Dispersion - Miscellaneous Exercise 8 [पृष्ठ १९०]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 11 Maharashtra State Board
पाठ 8 Measures of Dispersion
Miscellaneous Exercise 8 | Q I (4) | पृष्ठ १९०

संबंधित प्रश्‍न

Find variance and S.D. for the following set of numbers:

7, 11, 2, 4, 9, 6, 3, 7, 11, 2, 5, 8, 3, 6, 8, 8, 2, 6


Find variance and S.D. for the following set of numbers:

65, 77, 81, 98, 100, 80, 129


Compute variance and standard deviation for the following data:

X 2 4 6 8 10 12 14 16 18 20
F 8 10 10 7 6 4 3 4 2 6

Compute the variance and S.D.

X 31 32 33 34 35 36 37
Frequency 15 12 10 8 9 10 6

Following data gives age of 100 students in a college. Calculate variance and S.D.

Age (In years) 16 17 18 19 20 21
No. of Students 20 7 11 17 30 15

Find mean, variance and S.D. of the following data:

Classes 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 70  –  80 80 – 90 90 – 100
Frequency 7 14 6 13 9 15 11 10 15

The mean of 5 observations is 4.8 and the variance is 6.56. If three of the five observations are 1, 3 and 8, find the other two observations


Select the correct option from the given alternatives :

For any two numbers, SD is always


Answer the following :

Find variance and S.D. for the following set of numbers: 125, 130, 150, 165, 190, 195, 210, 230, 245, 260


Answer the following :

Given below is the frequency distribution of marks obtained by 100 students. Compute arithmetic mean and S.D.

Marks 40 - 49 50 - 59 60 - 69 70 - 79 80 - 89 90 - 99
No. of students 4 12 25 28 26 5

Find the Standard Deviation of the following data: 14, 22, 9, 15, 20, 17, 12, 11.


If a r.v. X has p.d.f., f(x) = `1/(xlog3)`, for 1 < x < 3, then E(X) and Var(X) are respectively ______


The S.D. and C.V. for the following frequency distribution is

xi 60 61 62 63 64 65 66
fi 3 10 11 13 7 5 1

Coefficients of variation of two distributions are 30 and 40 and their arithmetic means are 10 and 25 respectively. The difference of their standard deviations is ______ 


The S.D. of 20 items is 15 and if each item is decreased or increased by 1, then standard deviation will be ______.


The standard deviation of the data 8, 7, 1, 15, 14, 10, 12 is ______.


For certain data, the following information is available. Obtain the combined standard deviation.

  X Y
Mean 13 17
S.D. 3 2
Size 20 30

If the S.D. of the data 1, 2, 4, 5, 6, 7, 9 is 2.59, then the S.D. of 3, 6, 12, 15, 18, 21, 27 is ______.


Consider three observations a, band c such that b = a + c. If the standard deviation of a + 2, b + 2, c + 2 is d, then which of the following is true?


The mean and standard deviation of 20 observations were calculated as 10 and 2.5 respectively. It was found that by mistake one data value was taken as 25 instead of 35. If α and `sqrtβ` are the mean and standard deviation respectively for correct data, then (α, β) is ______.


The mean of a data set consisting of 20 observations is 40. If one observation 53 was wrongly recorded as 33, then the correct mean will be ______.


The mean and standard deviation of 50 observations are 15 and 2 respectively. It was found that one incorrect observation was taken such that the sum of correct and incorrect observations is 70. If the correct mean is 16, then the correct variance is equal to ______.


The mean of a set of observation is `overlinex`. If each observation is divided by α, α ≠ 0 and then is increased by 10, then the mean of the new set is ______.


The variance of first n natural numbers is ______.


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