English

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

Advertisements
Advertisements

Question

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:

Options

  • Coefficient of Standard deviation

  • Coefficient of skewness

  • Coefficient of quartile deviation

  • Coefficient of variation

MCQ

Solution

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

shaalaa.com
Standard Deviation
  Is there an error in this question or solution?
Chapter 8: Measures of Dispersion - Miscellaneous Exercise 8 [Page 190]

APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
Chapter 8 Measures of Dispersion
Miscellaneous Exercise 8 | Q I (4) | Page 190

RELATED QUESTIONS

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 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

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 :

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


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: 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

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 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

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 ______.


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 ______.


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 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 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:


The variance of first n natural numbers is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×