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Mathematics
If σ A,σ B,σ C are the variance of heights of students of three sections each containing 10 students as follows: <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/mathematics/c0b968896ac28eb8d6b52a0b6fe2b378-.png />
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Q. If $\sigma _{A},\sigma _{B},\sigma _{C}$ are the variance of heights of students of three sections each containing $10$ students as follows:
NTA Abhyas
NTA Abhyas 2022
A
$1:2:3$
B
$2:3:4$
C
$1:1:1$
D
$1:2:4$
Solution:
If each observation is increased by a same quantity, then the variance remains unchanged.
$\therefore \sigma _{A}:\sigma _{B}:\sigma _{C}=1:1:1$ .
