Measures of Central Tendency

A die is thrown $10$ times and obtained the following outputs:

$1, 2, 1, 1, 2, 1, 4, 6, 5, 4$

What will be the mode of data so obtained?

The observations $4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6$ are outputs of $12$ dices thrown simultaneously. If $m$ and $M$ are means of lowest $8$ observations and highest $4$ observations respectively, then what is $\left(2m+M\right)$ equal to?

The mean and variance of five observations are $14$ and $13·2$ respectively. Three of the five observations are $11, 16$ and $20$. What are the other two observations?

Let $P, Q, R$ represent mean, median and mode. If for some distribution $5P=4Q=\frac{R}{2}$, then what is $\frac{P+Q}{2P+Q7R}$ equal to?

For data $-1, 1, 4, 3, 8, 12, 17, 19, 9, 11$; if $M$ is the median of first $5$ observations and $N$ is the median of last five observations, then what is the value of $4M-N$?

Consider the following frequency distribution :

What is the value of median of the distribution?

Let $x_1,x_2,\dots ,x_{100}$ be in an arithmetic progression, with $x_1=2$ and their mean equal to $200$ . If $y_i=i\left(x_i-i\right),1\le i\le 100$, then the mean of $y_1,y_2,\dots$, $y_{100}$ is

In an examination, the average marks of $7$ children was $20$, that of $3$ children was $45$, that of another $4$  children was $15$ and that of $2$  children was $0$. What is the average marks of all the $16$ children?

The mean of  '$n$' observation is '$X$'. If $k$ is added to each observation, then the new mean is 

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?

If the $\mathrm{AM}$ and $\mathrm{HM}$ of two numbers are $6$ and $9$ respectively, then $\mathrm{GM}$ is__________

If the $\mathrm{AM}$ and $\mathrm{HM}$ of two numbers are $6$ and $9$ respectively, then $\mathrm{GM}$ is __________

A fire engine rushes to a place of fire accident with a speed of $110 \mathrm{km} \mathrm{ph}$ and after the completion of operation returned to the base at a speed of $35 \mathrm{km} \mathrm{ph}$. The average speed per hour in per direction is obtained as Speed.

Which one of these is least affected by extreme values?

The HM of $A$ and $B$ is $\frac{1}{3}$ and $\mathrm{HM}$ of $C$ and $D$ is $\frac{1}{5}$. Then $\mathrm{HM}$ of $A, B, C$ and $D$ is __________

If any two numbers are in $\mathrm{AP}$, then ${\mathrm{GM}}^2=$ _________

For a distribution Mean, Median and Mode are $23, 24$ and $25.5$ respectively, then it is most likely__________ skewed distribution

Find the mode of the following distribution.

Which measure is suitable for open - end classification?

Find the mode from the following data: