Kesab Chandra Nag Solutions for Exercise 1: EXERCISE-1

The electric bills (in $₹$) of $45$ houses of Bamangachi collected by Runu, Jhunu and Lalita are given below

$\begin{array}{ccc}116& & 127\\ 75& & 92\\ 95& & 108\\ 118& & 61\\ 92& & 75\end{array}\begin{array}{cccc}& 100& & 82\\ & 129& & 78\\ & 115& & 121\\ & 129& & 127\\ & 98& & 65\end{array}\begin{array}{cccccc}& 80& & 101& & 91\\ & 87& & 101& & 65\\ & 128& & 63& & 76\\ & 91& & 130& & 125\\ & 110& & & & \end{array}\begin{array}{cccccc}& 65& & 95& & 89\\ & 52& & 59& & 65\\ & 130& & 116& & 108\\ & 101& & 116& & 105\\ & & & & & \end{array}$

Prepare a grouped frequency distribution of the above data, the class-length of each of which is $10$.

The weights (in $\mathrm{Kg}$) of $20$ students of Barasat Gandhi Memorial High School are given below:

$\begin{array}{c}44\\ 42\end{array}\begin{array}{cccccc}& 30& & 38& & 32\\ & 44& & 32& & 30\end{array}\begin{array}{cccccc}& 34& & 40& & 42\\ & 44& & 42& & 49\end{array}\begin{array}{cccccc}& 44& & 47& & 49\\ & 45& & 35& & 48\end{array}$

Prepare a grouped frequency distribution table (with less than type cumulative frequency distribution) by taking the class-intervals $30-35, 35-40,......$etc. using tally-marks.

The data of ages of $200$ villagers of Narayanpur model village is given below:

Prepare a more than type of cumulative frequency distribution table of the above data.

The marks obtained by $40$ students of Indira Gandhi Open University in an examination in Mathematics of $100$ marks are given below:

Prepare a less than and more than type cumulative frequency distribution table of the above data.

 The monthly wages of $20$ workers of Hindustan Aeronautic Engineering work shop are given below:

If the minimum monthly wages of the workers be $₹101000$, prepare a continuous grouped frequency distribution table of the above data.

The marks obtained (in percentage) by the scientists of ISRO are given below:

Prepare a continuous grouped frequency distribution table of the above data.

In a class-test of $40$ numbers, the marks obtained by $25$ students of Nibadai High School are given in the following frequency distribution table:

Give answers of the following questions from the above table.

How many students have got marks more than $10$, but less than $30$?

In a class-test of $40$ numbers, the marks obtained by $25$ students of Nibadai High School are given in the following frequency distribution table:

Give answers of the following questions from the above table.

How many students, have got marks less than $20$?