Measures of Central Tendency

In the following table, the ages (in years) of $40$ students are given. Find the median.

Find the median from the following table:

Find the median of the following numbers:

$1, 2, 3, 4, 5, 6, 7, 8, 9, 10.$

Find the median of the following numbers:

$2,4,6,8,10,12,14,16,18$

Find the median of the following numbers:

$23,20,22,19,17,22,14,16,15$

Find the median from the following table:

The arithmetic mean of the $5$ consecutive integers starting with$\text{'}s\text{'}$ is $\text{'}a\text{'}$. What is the arithmetic mean of $9$ consecutive integers that start with$s + 2$?

The mean weight of a class of $34$ students is $46.5 \mathrm{kg}$. If the weight of the new boy is included, the mean is rises by $500 \mathrm{g}$. Find the weight of the new boy (in $\mathrm{kg}$).

The average of $5$ consecutive numbers is $n$. What will be the average if the next two numbers are included?

The average of $x, y$ and $z$ is $45$.$x$ is as much more than the average as$y$ is less than the average. Find the value of $z$.

If $\overline{x}$ represent the mean of $n$ observations $x_1,x_2,\dots ,x_n,$ then find the value of $\sum _{i=1}^n\left(x_i-\overline{x}\right)$.

Find the mode of the following data.

$7.5, 7.3, 7.2, 7.2, 7.4, 7.7, 7.7, 7.5, 7.3, 7.2, 7.6, 7.2$

Find median of the following data.

$19, 25, 59, 48, 35, 31, 30, 32, 51$.  If $25$ is replaced by $52$, then find new median.

If mean of the following frequency distribution is $1.46$, then find the unknown frequencies.

Find the mode of $14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18$.

The median of the first five prime numbers is

Find the observation with the highest frequency in the distribution below.

Find the median from the following table:

On surveying 50 families, the following numbers of rooms in each family were obtained. Find the multiplicand.

In the competition organised on Global Handwashing Day, the time (in seconds) taken by the school children to wash their hands with soap is as follows: $20, 25, 20, 17, 15, 13, 17, 19, 20, 21, 25, 20, 15, 23.$

Find the mode of the data.