1
IAT (IISER) 2023
MCQ (Single Correct Answer)
+4
-1
Suppose the mean and the standard deviation of the data $\left\{x_1, x_2, \cdots, x_9\right\}$ are $\mu$ and $\sigma(\neq 0)$, respectively. After including one more data value $x_{10}$, the mean of the data $\left\{x_1, x_2, \cdots, x_9, x_{10}\right\}$ remains $\mu$. What is the standard deviation of the data $\left\{x_1, x_2, \cdots, x_9, x_{10}\right\}$ ?
A
$\frac{\sqrt{10}}{3} \sigma$
B
$\frac{3}{\sqrt{10}} \sigma$
C
$\frac{10}{9} \sigma$
D
$\frac{9}{10} \sigma$
IAT (IISER) Subjects
EXAM MAP