मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी वाणिज्य इयत्ता १२

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

Advertisements
Advertisements

प्रश्न

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

बेरीज
Advertisements

उत्तर

σ = `sqrt(((sum(x - barx)^2)/"n"))`

= `sqrt(426/9)`

= `sqrt(47.33)`

∴ σ = 4.18

shaalaa.com
Standard Deviation
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Introduction to Statistical Methods and Econometrics - Model Questions [पृष्ठ २८०]

APPEARS IN

सामाचीर कलवी Economics [English] Class 12 TN Board
पाठ 12 Introduction to Statistical Methods and Econometrics
Model Questions | Q 29. | पृष्ठ २८०

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


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

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:


Select the correct option from the given alternatives :

For any two numbers, SD is always


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 :

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 ______ 


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 ______.


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` = ______.


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 ______.


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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×