# Recent questions tagged statistics

A $\text{PERT}$ network has $9$ activities on its critical path. The standard deviation of each activity on the critical path is $3$. The standard deviation of the critical path is $3$ $9$ $27$ $81$
If $x$ is the mean of data $3, x, 2$ and $4$, then the mode is _____
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Which of the following assertions are $\textbf{CORRECT}$? Adding $7$ to each entry in a list adds $7$ to the mean of the list. Adding $7$ to each entry in a list adds $7$ to the standard deviation of the list. Doubling each entry in a list doubles the mean of the list. Doubling each entry in a list leaves the standard deviation of the list unchanged. $P,Q$ $Q,R$ $P,R$ $R,S$
A sample of $15$ data is as follows: $17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3$. The mode of the data is $4$ $13$ $17$ $20$
In a company with $100$ employees, $45$ earn $Rs. 20,000$ per month, $25$ earn $Rs. 30000$, $20$ earn $Rs. 40000$, $8$ earn $Rs. 60000$, and $2$ earn $Rs. 150,000$. The median of the salaries is $Rs. 20,000$ $Rs. 30,000$ $Rs. 32,300$ $Rs. 40,000$
A regular die has six sides with numbers $1$ to $6$ marked on its sides. If a very large number of throws show the following frequencies of occurrence: $1 \rightarrow 0.167; 2 \rightarrow 0.167; 3\rightarrow 0.152; 4 \rightarrow 0.166; 5\rightarrow 0.168; 6\rightarrow 0.180$. We call this die irregular biased Gaussian insufficient
The statistics of runs scored in a series by four batsmen are provided in the following table. Who is the most consistent batsman of these four? $\begin{array}{|c|c|c|} \hline \text{Batsman} & \text{Average} & \text{Standard Deviation} \\ \hline K & 31.2 & 5.21 \\ \hline L & 46.0 & 6.35 \\ \hline M & 54.4 & 6.22 \\ \hline N & 17.9 & 5.90 \\ \hline \end{array}$ $K$ $L$ $M$ $N$