Monica Capoor Solutions for Exercise 4: Exercise 18.3

The quantity of milk consumed in five households in a week is $10 \mathrm{L}, 12 \mathrm{L}, 13 \mathrm{L}, 11 \mathrm{L}$ and $14 \mathrm{L}$. Find the mean weekly consumption of milk by these households. Also, find the number of households whose consumption is more than the mean weekly consumption.

$\text{'}A\text{'}$ sat for $6$ tests and $\text{'}B\text{'}$ sat for $7$ tests. Their percentage scores were:

$\begin{array}{lllllll}\text{A }& 77& 68& 52& 50& 73& 72\end{array}$

$\begin{array}{llllllll}\text{B }& 52& 83& 85& 62& 76& 53& 86\end{array}$

Who has the higher mean score?

The mean of $x+8, x+6, x+4, x+2$ and $x$ is $24$. Find the value of $x$.

The mean of $6, y, 7, x$ and $14$ is $8$. Express $y$ in terms of $x$.

The mean of $15$ numbers is $5$. If $2$ is added to each number, then what will be the new mean?

The mean of $10$ numbers is $32$. If one number is excluded, then the mean gets reduced by $2$. Determine the excluded number.

The mean of $5$ numbers is $22$. If one more number is included, then the mean of the new set of numbers becomes $24$. Find the included number.

Find the mean of the following distribution: