Telangana Board Solutions for Chapter: Frequency Distribution Tables and Graphs, Exercise 1: Exercise 1

Arithmetic mean of nine observations is calculated as $38$. But in doing so, an observation $27$ is mistaken for $72$. Find the actual mean of the data.

Five years ago mean age of a family was $25$ years. If the present mean age of the family is $k$ years, find the value of $k$.

If sum of the $20$ deviations from the mean is $100$, then find the mean deviation.

The sum of deviations of '$n$' observations from $25$ is $25$ and sum of deviations of the same '$n$' observations from $35$ is $-25$. Find the mean of the observations.

Find the mode of $10, 12, 11, 10, 15, 20, 19, 21, 11, 9, 10$.

Mode of certain scores is $x$. If each score is decreased by $3$, then find the mode of the new series.

If the mean of a set of observations $x_1, x_2, \dots , x_{10}$ is $20$. Find the mean of $x_1+4, x_2+8, x_3+12,\dots \dots , x_{10}+40$.

The median of a set of $9$ distinct observations is $20$. If each of the largest $4$ observations of the set is increased by $2$, find the median of the resulting set.