R. D. Sharma Solutions for Chapter: Tabular Representation of Statistical Data, Exercise 2: EXERCISE

The marks scored by $55$ students in a test are given below:

$\begin{array}{|cccccccc|}\hline \mathrm{Marks}: & 0-5& 5-10& 10-15& 15-20& 20-25& 25-30& 30-35\\ \mathrm{No}.\mathrm{of} students& 2& 6& 13& 17& 11& 4& 2\\ \hline\end{array}$

Prepare a cumulative frequency table.

Following are the ages of $360$ patients getting medical treatment in a hospital on a day:

$\begin{array}{|lcccccc|}\hline \mathrm{Age}(\mathrm{in} \mathrm{years}):& 10-20& 20-30& 30-40& 40-50& 50-60& 60-70\\ \mathrm{No}.\mathrm{of} \mathrm{Patient}:& 90& 50& 60& 80& 50& 30\\ \hline\end{array}$

Construct a cumulative frequency distribution.

The water bills (in $₹$) of $32$ houses in a certain street for the period $1.1.98$ to $31.3.98$ are given below:

$56, 43, 32, 38, 56, 24, 68, 85, 52, 47, 35, 58 ,63, 74, 27, 84, 69, 35, 44, 75, 55, 30, 54, 65, 45, 67, 95, 72, 43, 65, 35, 59$.

Tabulate the data and present the data as a cumulative frequency table using $70-79$ as one of the class intervals.

The number of books in different shelves of a library are as follows:

$$\begin{gathered} \begin{array}{l}30, 32, 28, 24, 20, 25, 38, 37, 40, 45, 16, 20\\ 19, 24, 27, 30, 32, 34, 35, 42, 27, 28, 19, 34,\\ 38, 39, 42, 29, 24, 27, 22, 29, 31,19, 27, 25\end{array} \\ \begin{array}{l}28, 23, 24, 32, 34, 18, 27, 25, 37, 31, 24, 23\\ 43, 32, 28, 31, 24, 23, 26, 36, 32, 29, 28, 21\end{array} \end{gathered}$$

Prepare a cumulative frequency distribution table using $45-49$ as the last class interval.

Given below are the cumulative frequencies showing the weights of $685$ students of a school. Prepare a frequency distribution table.

$\begin{array}{|cc|}\hline \mathrm{Weight}(\mathrm{in} \mathrm{kg})& \mathrm{No}.\mathrm{of} \mathrm{students} \\ \mathrm{Below}25& 0\\ \mathrm{Below}30& 24\\ \mathrm{Below}35& 78\\ \mathrm{Below}40& 183\\ \mathrm{Below}45& 294\\ \mathrm{Below}50& 408\\ \mathrm{Below}55& 543\\ \mathrm{Below}60& 621\\ \mathrm{Below}65& 674\\ \mathrm{Below}70& 685\\ \hline\end{array}$

The following cumulative frequency distribution table shows the daily electricity consumption (in $\mathrm{kW}$) of $40$ factories in an industrial state:

$\begin{array}{|cc|}\hline \text{ Consumption }\left(\text{in }\mathrm{KW}\right)& \mathrm{Number} \mathrm{of} Factories\\ \mathrm{Below} 240& 1\\ \mathrm{Below} 270& 4\\ \mathrm{Below} 300& 8\\ \mathrm{Below} 330& 24\\ \mathrm{Below} 360& 33\\ \mathrm{Below} 390& 38\\ \mathrm{Below} 420& 40\\ \hline\end{array}$

Represent this as a frequency distribution table.

The following cumulative frequency distribution table shows the daily electricity consumption (in $\mathrm{kW}$) of $40$ factories in an industrial state:

$\begin{array}{|cc|}\hline \text{ Consumption }\left(\text{in }\mathrm{KW}\right)& \mathrm{No}.\mathrm{of} Factories\\ \mathrm{Below} 240& 1\\ \mathrm{Below} 270& 4\\ \mathrm{Below} 300& 8\\ \mathrm{Below} 330& 24\\ \mathrm{Below} 360& 33\\ \mathrm{Below} 390& 38\\ \mathrm{Below} 420& 40\\ \hline\end{array}$

Prepare a cumulative frequency table.

Given below is a cumulative frequency distribution table showing the ages of people living in a locality:

$\begin{array}{|cc|}\hline \mathrm{Age} \mathrm{in} years& \mathrm{No}. \mathrm{of} persons\\ \mathrm{Above}108& 0\\ \mathrm{Above}96& 1\\ \mathrm{Above}84& 3\\ \mathrm{Above}72& 5\\ \mathrm{Above}60& 20\\ \mathrm{Above}48& 158\\ \mathrm{Above}36& 427\\ \mathrm{Above}24& 809\\ \mathrm{Above}12& 1026\\ \text{ Above 0 }& 1124\\ \hline\end{array}$

Prepare a frequency distribution table.