Mean

The arithmetic mean of $100$ observations is$24, 6$is added to each of the observations and then each of them is multiplied by $2.5$. Find the new arithmetic mean_____.

The mean of $100$items was $46$. Later on it was discovered that an item $16$was misread as $61$ and another item $43$ was misread as $34$. It was also found that the number of items was $90$ and not $100$. Then what is the correct mean?

Mean marks of $50$ students were found to be $78.4$. But later it was detected that $95$ was misread as $59$ and $25$ was misread as $52$. What is the difference between correct mean and incorrect mean?

If $\mathrm{M}$ is the mean of the first $100$ even natural numbers, then what is the mean of the first $100$ odd natural numbers?

The sum of deviations of a set of $n$ values measured from $50$ is $-10$ and the sum of deviations of the values measured from $46$ is $70$. What is the mean of the values?

In a class average height of all students is $p cm$. Among them, average height of $10$ students is $q cm$ and the average height of the remaining students is $r cm$. The number of students in the class is

Find the mean of $x+1, x+3, x+4, x+8$.

Mean of $35$ observation is $75$. The mean of first $18$ observation is $70$ and the mean of last $18$ observation is $80$ find the ${18}^{\text{th}}$ observation.

If the mean of first $n$ natural numbers is $\frac{5n}{8}$, then $n$ is

A person covers half of his journey at $30 \mathrm{km}/\mathrm{hr}$ and the remaining half at $20 \mathrm{km}/\mathrm{hr}$. The average speed for the whole journey is

The average of first five multiples of $3$ is

The average of three numbers is $20$. If two of the numbers are $16$ and $22$, then the third is

The mean of first eight prime numbers is

The mean of $n$ observations is $\overline{x}$. If the first term is increased by one, second by two and so on, then the new mean is

Find the median value of the ungrouped raw data given below.

$1, 5, 2, 7, 6, 9, 8, 12, 10, 14$

Find the median of the ungrouped data shown below.

$1, 5, 3, 7, 6, 9, 12, 11, 14, 13$

The mean length of $50$ coils is $50 \mathrm{m}$. If a new coil of length $101 \mathrm{m}$ is added to the existing slot, then find the mean length of all coils in the slot.

The sum of $49$ consecutive integers is $7^5$. What is their average?

If the algebraic sum of deviations of $20$observations measured from $23$is $70$, then find the mean of these observations.

If the mean of distribution $10, 8, 15, 12, \mathrm{K}, 25$ is 12, find the value of $\mathrm{K}$.