हिंदी

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:

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प्रश्न

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:

विकल्प

  • Variance

  • Range

  • S.D.

  • C.V

MCQ
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उत्तर

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

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Standard Deviation
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 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
अध्याय 8 Measures of Dispersion
Miscellaneous Exercise 8 | Q I. (6) | पृष्ठ १९०

संबंधित प्रश्न

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 :

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


Select the correct option from the given alternatives :

If the S.D. of first n natural numbers is `sqrt(2)`, then the value of n must be ––––––.


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 :

Following data gives no. of goals scored by a team in 100 matches. Compute the standard deviation

No. of Goals Scored 0 1 2 3 4 5
No. of matches 5 20 25 15 20 5

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. 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

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` = ______.


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 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 ______.


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:


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