A Professor has given assignment to students in a Statistics class. A student Jagan computes the arithmetic mean and standard deviation for a set of 100 observations as 50 and 5 respectively. Later on, Sonali points out to Jagan that he has made of mistake in taking one observation as 100 instead of 50. What would be the correct mean if the wrong observation is corrected?

If the variables $x$ and $z$ are so related that $z = ax + b$ for each where $a$ and $b$ are constant, then $\bar{z} = a\bar{x} + b$.

If the mean of the following distribution is $6$, then the value of $P$ is: $ \begin{array}{|c|c|c|c|c|c|} \hline $X$ & 2 & 4 & 6 & 10 & $P+5$ \\ \hline $F$ & 3 & 2 & 3 & 1 & 2 \\ \hline \end{array} $

There are $n$ numbers. When 50 is subtracted from each of these number the sum of the numbers so obtained is $-10$. When 46 is subtracted from each of the original $n$ numbers, then the sum of numbers so obtained is 70. What is the mean of the original $n$ numbers?

Which measure is suitable for open-end classification?

$50^{th}$ Percentile is equal to

Find the median of the following. Class: 0-10, 10-20, 20-30, 30-40, 40-50; Freq: 2, 3, 4, 5, 6