Grouping Data and Histogram

Calculate the mean mark for the data in the table.

Write your answer up to two decimal places.

Prepare a frequency distribution by inclusive method taking a class interval of $7$ from the following data.

$28,17,15,22,29,21,23,27,18,12,7,2,9,4,2,8,3,10,5,20,16,12,8,4,33,27,21,15,34,27,18,9,2,4,6,32,31,29,18,14,13,15,11,9,7,2,5,38,32,28,26,24,20,19,25,19,20,6,10$

Prepare a frequency distribution by inclusive method taking a class interval of $7$ from the following data.

$28,17,15,22,29,21,23,27,18,12,7,2,9,4,1,8,3,10,5,20,16,12,8,4,33,27,21,15,3,36,27,18,9,2,4,6,32,31,29,18,14,13,15,11,9,7,1,5,37,32,28,26,24,20,19,25,19,20,6,9$

Answer the questions to see the histogram of the heights of students given below.

How many students are there with height $155 cm$ or more?

Answer the questions to see the histogram of the heights of students given below.

How many students are there with a height less than $160 cm$?

Answer the questions to see the histogram of the heights of students given below.

What is the number of students of the height $160-165?$

If we want to represent the given data by $5$ classes, then how shall we find the interval?

How will you change the given series as continuous series?

The weights $\left(\mathrm{in} \mathrm{kg}\right)$ of $30$ students of a class are

$39,43,32,37,29,26,31,45,46,31,37,38,30,39,36,41,35,34,41,46,39,38,36,38,40,42,33,43,44,33$

Prepare a frequency distribution table using one class interval as $30-35$, in which $30$ is included and $35$ excluded. Which class interval has highest frequency.

The ages (in years) of $360$ patients treated in a hospital on a particular day are given below:

Which age group has the highest number of patients.

The following table shows the number of illiterate persons in the age group ($10-58$ years) in a town. How many illiterates are there in the age group $34-42$.

Class intervals in a grouped frequency are given as $4‐11, 12‐19, 20‐27, 28‐35, 36‐43$. What are the class marks of each class?

Find the size of the class interval:
$$\begin{gathered} 200 - 220 \\ 220 - 240 \\ 240 - 260 \\ 260 - 280 \end{gathered}$$

Find the size of the class interval in the following caes.
$0 - 10$
$10 - 20$
$20 - 30$
$30 - 40$

Find the size of the class interval.

Use the table given below to find

class boundaries of the $5\mathrm{th}$ class

Use the table given below to find

true class limits of the $4\mathrm{th}$ class.

Use the table given below to find upper and lower limits of $4\mathrm{th} \mathrm{class}.$

The marks in mathematics of $30$students are as follows :

$75, 44, 53, 61, 58, 88, 37, 60, 64, 84, 78, 98, 59, 68, 58, 60, 55, 70, 48,100, 39, 62, 67, 50, 90, 60, 56, 48, 52, 77.$

What is the range?

       The range of the data $12, 17, 9, 4, 18, 17, 27, 8$; is _____.