Monicaa Abhijit Solutions for Chapter: Frequency Distribution and Bar Graph, Exercise 1: EXERCISE 20.1

Following are the marks of $35$ students in an examination:

$$\begin{gathered} 20, 16, 19, 25, 30, 20, 20, 19, 25, 25, 16, 30, 30, 28, 12, 5, 21, 23, 28, 24, 10, 8, 17, 22, 20, 23, 29, \\ 15, 10, 10, 14, 25, 21, 11, 2 \end{gathered}$$

What are the highest marks?

Following are the marks of $35$ students in an examination:

$$\begin{gathered} 20, 16, 19, 25, 30, 20, 20, 19, 25, 25, 16, 30, 30, 28, 12, 5, 21, 23, 28, 24, 10, 8, 17, 22, 20, 23, 29, \\ 15, 10, 10, 14, 25, 21, 11, 2 \end{gathered}$$

What are the lowest marks?

Following are the marks of $35$ students in an examination:

$$\begin{gathered} 20, 16, 19, 25, 30, 20, 20, 19, 25, 25, 16, 30, 30, 28, 12, 5, 21, 23, 28, 24, 10, 8, 17, 22, 20, 23, 29, \\ 15, 10, 10, 14, 25, 21, 11, 2 \end{gathered}$$

Find the range of the above data.

Following are the marks of $35$ students in an examination:

$$\begin{gathered} 20, 16, 19, 25, 30, 20, 20, 19, 25, 25, 16, 30, 30, 28, 12, 5, 21, 23, 28, 24, 10, 8, 17, 22, 20, 23, 29, \\ 15, 10, 10, 14, 25, 21, 11, 2 \end{gathered}$$

If $12$ are the passing marks, how many students failed in the class?

Following are the marks of $35$ students in an examination:

$$\begin{gathered} 20, 16, 19, 25, 30, 20, 20, 19, 25, 25, 16, 30, 30, 28, 12, 5, 21, 23, 28, 24, 10, 8, 17, 22, 20, 23, 29, \\ 15, 10, 10, 14, 25, 21, 11, 2 \end{gathered}$$

How many students scored above $25$ marks?

The ages of $25$ patients who visited a dentist are given below. Prepare a frequency distribution of the data.

$$\begin{gathered} 34, 35, 39, 38, 4, 9, 15, 26, 12, 13, 25, 32, 3, 12, 39, 14, 12, 12, 24, 8, 21 ,16, \\ 5, 12, 30 \end{gathered}$$

What is the age of patients who visited the dentist maximum number of times?

The ages of $25$ patients who visited a dentist are given below. Prepare a frequency distribution of the data.

$$\begin{gathered} 34, 35, 39, 38, 4, 9, 15, 26, 12, 13, 25, 32, 3, 12, 39, 14, 12, 12, 24, 8, 21 ,16, \\ 5, 12, 30 \end{gathered}$$

How many patients are above $30$ years of age?

The rainfall (in $\mathrm{mm}$) in a city on $7$ days of a certain week was recorded as follows:

Find the range of rainfall $\left(\mathrm{mm}\right)$ in the above data.