B Nirmala Shastry Solutions for Exercise 2: EXERCISE 15B

Find the mean and median of the following: $11,14,15,14,17,19$

If $x$ is added to the numbers, the new mean is $14$, find $x$.

Alia is $9$ years older than her twin brothers. If they are $x$ years old, find the mean age of the three children in simplest terms.

Mean of $6, 4, 3, 5, 4, 2$ is $m$ and median of $0, 3, 2, m, 5$ is $n$. Find $m$ and $n$.

The mean marks of $30$ students of a class is $70$. Find the marks of the topper if the mean marks of the others is $69$.

The mean marks of $20$ students is $62$. It was later discovered that one of the students marks were written wrongly as $86$ instead of $68$. Find the correct mean.

The mean weight of $5$ students is $47 \mathrm{kg}$. If four of them weigh $44 \mathrm{kg}, 45 \mathrm{kg}, 47 \mathrm{kg} \text{and} 49 \mathrm{kg}$. Find the weight of the fifth student.

The mean height of $8$ students is $152 \mathrm{cm}$. Three more students of heights $160 \mathrm{cm}, 165 \mathrm{cm} \text{and} 164 \mathrm{cm}$ join the group. Find the new mean height.

The mean marks of $8$ girls in a class test is $52$ and the mean marks of$12$ boys of the same class in the same test is $51$. Find the mean marks of all the $20$ students in the class.