🛠️ JEE➗ Maths

A data consists of \(20\) observations \({x}_{1},{x}_{2},\ldots ,{x}_{20}\). If \(\sum _{i=1}^{20}{\left({x}_{i}+5\right…

Q1

A data consists of \(20\) observations \({x}_{1},{x}_{2},\ldots ,{x}_{20}\). If \(\sum _{i=1}^{20}{\left({x}_{i}+5\right)}^{2}=2500\) and \(\sum _{i=1}^{20}{\left({x}_{i}-5\right)}^{2}=100\), then the ratio of mean to standard deviation of this data is:

[JEE Main 2026, 6 Apr (Shift 1)]

a

\(2:1\)

b

\(3:1\)

c

\(3:2\)

d

\(4:1\)

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