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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:

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


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

Find the variance and S.D. of the following frequency distribution which gives the distribution of 200 plants according to their height:

Height (in cm) 14 – 18 19 – 23 24 – 28 29 – 33 34 – 38 39 – 43 44 – 48
No. of plants 5 18 44 70 36 22 5

Select the correct option from the given alternatives :

The positive square root of the mean of the squares of the deviations of observations from their mean is called:


Answer the following :

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

25, 21, 23, 29, 27, 22, 28, 23, 21, 25


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 :

Compute the variance and S.D. for the following data:

X 62 30 64 47 63 46 35 28 60
F 5 8 3 4 5 7 8 3 7

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

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 mean and S.D. of the scores of 100 candidates were found to be 80 and 15 respectively. Later, it was discovered that a score of 50 was wrongly read as 40. The correct mean and S.D. respectively are ______ 


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

The mean and standard deviation of random variable X are 10 and 5 respectively, then `"E"(("X" - 15)/5)^2` = ______.


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 ______.


If the mean of the data 7, 7, 9, 7, 8, 7, λ, 8 is 7, then the variance of this data is ______.


The mean and variance of 10 observations were calculated as 15 and 15 respectively by a student who took by mistake 25 instead of 15 for one observation. Then, the correct standard deviation is ______.


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 ______.


Let x1, x2 ,..., xn be n observations such that `sumx_1^2` = 400 and `sumx_i` = 80. Then, a possible value of n among the following is:


The variance of first n natural numbers is ______.


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