English
Hindi
Telugu

Question

Download Solution PDF

If Standard deviation of a data set is 13. What is the variance?

  1. 144
  2. 196
  3. 169
  4. 225

Answer (Detailed Solution Below)

Option 3 : 169

Detailed Solution

Download Solution PDF

We know,

= Variance = (S. D)2

= (13)2

= 169

Download Solution PDF
Exams Tests Super Practice

More Variance and Standard Deviation Questions

Q1.Let \(\rm \Sigma_{i=1}^9x_i^2=885\) If M is the mean and σ is the standard deviation of  x1, x2, x3.....x9 then what is the value of M2 + σ2?
Q2.Let a, b ∈ R. Let the mean and the variance of 6 observations –3, 4, 7, –6, a, b be 2 and 23, respectively. The mean deviation about the mean of these 6 observations is :
Q3.The standard deviation of the first 10 natural numbers is 3.028. What will be the standard deviation of the first 20 natural numbers? 
Q4.If the sum of 10 observations is 12 and the sum of their squares is 18, then the standard deviation is: 
Q5.The fourth central moment of a mesokurtic distribution is 243. Its standard deviation is: 
Q6.The variance of 20 observations is 5. If each observation is multiplied by 3 then variance for obtained observations is:
Q7.What is the variance of first five positive integers?
Q8.A sample of 35 observations has the mean 80 and s.d. 4. A second sample of 65 observations from the same population has mean 70 and s.d. 3. The s.d. of the combined sample is
Q9.What is the coefficient of variation of marks in Mathematics ?
Q10.Which one of the following subjects shows highest variability of marks ?

More Statistics Questions

Q1.The mean of the series x1, x2...xn is x̅ If xn is replaced by k, then what is the new mean?
Q2.Let \(\rm \Sigma_{i=1}^9x_i^2=885\) If M is the mean and σ is the standard deviation of  x1, x2, x3.....x9 then what is the value of M2 + σ2?
Q3.What is the mean deviation of the first 10 natural numbers?
Q4.The mean of n observations 1, 4, 9, 16 ...., n2 is 130. What is the value of n?
Q5.Let x - 3y + 4 = 0 and 2x - 7y + 8 = 0 be two lines of regression computed from some bivariate data. If byx and bxy are regression coefficients of lines of regression of y on x and x on y respectively, then what is the value of bxy + 7byx?
Q6.Let a, b ∈ R. Let the mean and the variance of 6 observations –3, 4, 7, –6, a, b be 2 and 23, respectively. The mean deviation about the mean of these 6 observations is :
Q7.If a and b are non-negative real numbers such that a + 2b = 6, then the average of the maximum and minimum possible values of (a + b) is
Q8.If mean of X1, X2, X3, ..... Xn is X̅ then \(\rm \frac{\Sigma ^n}{e=1}(X_i-\bar X)\)= ?
Q9.If the ratio of mean and median of a distribution is 2 : 3 then the ratio of mode and mean is
Q10.Cumulative frequency table is required to find out which of the following.

More Mathematics Questions

Q1.If cosec θ + cot θ = p, then \(\rm\frac{p^2-1}{p^2+1}\) equal:
Q2.In a binomial distribution, if the mean is 6 and the standard deviation is √2, then what are the values of the parameters n and p respectively?
Q3.Three perfect dice D1, D2 and D3 and are rolled. Let x, represent the numbers on D1, D2 and D3 respectively. What is the number of possible outcomes such that x < y < z?
Q4.Three perfect dice are rolled. Under the condition that no two show the same face, what is the probability that one of the faces shown is an ace (one)?
Q5.The occurrence of a disease in an industry is such that the workers have 20% chance of suffering from it. What is the probability that out of 6 workers chosen at random, 4 or more will suffer from the disease?
Q6.Two perfect dice are thrown. What C is the probability that the sum of the numbers on the faces is neither 9 nor 10?
Q7.Urn A contains 2 white and 2 black balls while urn B contains 3 white and 2 black balls. One ball is transferred from urn A to urn B and then a ball is drawn out of urn B. What is the probability that the ball is white?
Q8.A fair coin is tossed till two heads occur in succession. What is the probability that the number of tosses required is less than 6?  
Q9.The mean of the series x1, x2...xn is x̅ If xn is replaced by k, then what is the new mean?
Q10.Let \(\rm \Sigma_{i=1}^9x_i^2=885\) If M is the mean and σ is the standard deviation of  x1, x2, x3.....x9 then what is the value of M2 + σ2?
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti real cash apk teen patti gold downloadable content teen patti 500 bonus teen patti master old version