Email
Chat with tutor
logo

Ask Questions, Get Answers

X
 
Questions  >>  CBSE XI  >>  Math  >>  Statistics
Answer
Comment
Share
Q)

Consider the numbers $1,2,3,4,5,6,7,8,9,10$ . If $1$ is added to each number the variance of the numbers so obtained is

$\begin{array}{1 1}(A)\; 6.5 \\(B)\;2.87 \\(C)\;3.87 \\(D)\;8.25 \end{array} $

1 Answer

Comment
A)
The formula to calculate variance $\sigma^2 = \large\frac{\sum x^2}{n} - \bigg( \large\frac{\sum x}{n}\bigg)^2$
Adding a constant to each numbers, does not affect the value of the variance.
It remain the same.
As calculated SD in the previous problem for 1st 10 natural numbers
Variance $=(SD)^2$
$\qquad= (2.87)^2=8.25$
and adding 1 to each numbers will not change the value of the variance.
Hence D is the correct answer.
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Continue
Clay6 tutors use Telegram* chat app to help students with their questions and doubts.
Do you have the Telegram chat app installed?
Already installed Install now
*Telegram is a chat app like WhatsApp / Facebook Messenger / Skype.
...