NCERT Solutions for Chapter: Statistics, Exercise 1: Exercise

Shown below is a table representing the percentage distribution of mental health disorders of Asian countries in $2019$

Can the median of the above data be greater than $12.5\%$? Give a valid reason.

The frequency distribution of daily rainfall in a town during a certain period is shown below.

Unfortunately, due to manual errors, the information on the $20-40 \mathrm{mm}$ range got deleted from the data.

If the mean daily rainfall for the period was $35 \mathrm{mm}$, find the number of days when the rainfall ranged between $20-40 \mathrm{mm}$. Show your work.

In a class test, the mean score of the class is $60$. Half the students of the class scored $80$ marks or above in the test.

Dipti said, "Each of the remaining half of the students would have definitely got $40$ marks or below in the test for the mean to be $60$ marks".

Prove or disprove Dipti's statement with a valid example.

Bowling strike rate for a bowler is defined as the average number of balls bowled per wicket taken. A bowler has taken $148$ wickets so far with a strike rate of $27$. In his next match, he bowls $48$ balls and takes $2$ wickets. What is his new strike rate? Show your work.

Shown below are number line representation of the medians of two different data sets.

Which of the two representations of median could be correct?

Find the missing frequencies in the following frequency distribution table, if the total frequency is $100$ and mode is $46\frac{2}{3}$.

If the mean of the squares of first $n$ natural numbers is $105$, then the median of first $n$ natural number is:

A table in a restaurant is in the shape of a hemisphere.

What is the modal range of the claim amount in dollars$?$