S K Gupta and Anubhuti Gangal Solutions for Chapter: Statistics, Exercise 1: Exercise 23

A total of $20$ patients admitted to a hospital have blood sugar levels as given below:

$67, 69, 74, 73, 70, 70, 71, 67, 73, 74, 73, 75, 69, 72, 70, 70, 72, 70, 73, 74$

Make a frequecy table.

The range of the data $15, 13, 14, 17, 19, 16, 14, 15$ is _____.

[Hint. Class mark for 1st class interval $=\frac{10+20}{2}=\frac{30}{2}=15$. Similarly, the class marks of other class intervals are obtained.

For the given set of data, make up a tally table, using the grouping suggested and complete the frequency column

The number of tomatoes picked from tomato plants.

$$\begin{gathered} 18, 31, 25, 16, 21, 20, 34, 7 \\ 19, 18, 24, 26, 30, 21, 26, 18 \\ 28, 31, 11, 25, 33, 23, 17, 24 \end{gathered}$$ 

Suggested grouping $0-4 ,5-9, 10-14, 15-19, \dots \dots$

For the given set of data, make up a tally table, using the grouping suggested and complete the frequency column

The number of books on $18$ of the shelves in a college library.

$$\begin{gathered} 35, 42, 43, 31, 27, 39, 30, 45, 37 \\ 33, 36, 26, 30, 29, 38, 36, 34, 43 \end{gathered}$$  

Suggested grouping $1-25, 26-30, 31-35, 36-40, \dots \dots$

The following are the monthly rents (in rupees) of 30 shops: $42, 49, 37, 82, 37, 75, 62, 54, 79, 84, 75, 63, 44, 74, 36, 69, 54, 48, 74, 39, 48, 45, 61, 71, 47, 38, 80, 51, 31, 43$ Using the class intervals of equal width in which one class interval being $40-50$ (excluding $50$), construct a frequency table for the above data.

Construct a frequency table for the following marks obtained by $45$ students using equal class intervals, one of them being $16-24$ ($24$ not included).

$12, 35, 6, 10, 8, 24, 37, 32, 61, 52, 63, 7, 41, 48, 15, 16, 25, 29, 62, 40, 33, 46, 18, 20, 34, 28, 24, 56, 55, 12, 50, 56, 48, 47, 38, 26, 60, 42, 39, 40, 43, 25, 13, 46, 20$.

The following list shows the weights in $\mathrm{kg}$ of the $22$ boy students in a class.

$\begin{array}{llllll}37.48& 61.93& 58.72& 49.78& 51.70& 68.10\end{array}$

$\begin{array}{llllll}49.87& 38.75& 69.10& 65.39& 36.49& 65.62\end{array}$

$\begin{array}{lllll}54.63& 46.17& 48.80& 57.35& 62.25\end{array}$

$\begin{array}{lllll}38.50& 62.82& 59.73& 56.60& 50.15\end{array}$

Prepare a frequency table.