Question

Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:
$1$ $6$ $2$ $3$ $5$ $12$ $5$ $8$ $4$ $8$
$10$ $3$ $4$ $12$ $2$ $8$ $15$ $1$ $17$ $6$
$3$ $2$ $8$ $5$ $9$ $6$ $8$ $7$ $14$ $12$
A) Make a ground frequency distribution table for this data, taking class width $5$ and one of the class intervals as $5 - 10$.
B) How many children watched television for $15$ or more hours a week?

Answer 1

To prepare the frequency distribution table, we will count the number of children of the following interval such as $0 - 5$,$5 - 10$,$10 - 15$,$15 - 20$. With this information we can form the frequency distribution table. Then, we will find the number of children watched television for $15$ or more hours a week from the table.

Complete step-by-step solution:
The given data are: thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:
$1$ $6$ $2$ $3$ $5$ $12$ $5$ $8$ $4$ $8$
$10$ $3$ $4$ $12$ $2$ $8$ $15$ $1$ $17$ $6$
$3$ $2$ $8$ $5$ $9$ $6$ $8$ $7$ $14$ $12$
We have to find the ground frequency distribution table for this data, taking class width $5$ and one of the class intervals as $5 - 10$. And the number of children who watched television for $15$ or more hours a week.
There are ten children in the interval of $0 - 5$.
There are thirteen children in the interval of $5 - 10$.
There are five children in the interval of $10 - 15$.
There are two children in the interval of $15 - 20$.
So, the frequency table can be written as:
A) Frequency distribution table:

Class intervals	Frequency
$0 - 5$	$10$
$5 - 10$	$13$
$10 - 15$	$5$
$15 - 20$	$2$

As per the given data, there are two children who were in the interval of $15 - 20$. So, 2 children watched television for $15$ or more hours a week.

Note: Frequency distribution in statistics provides the information of the number of occurrences (frequency) of distinct values distributed within a given period of time or interval, in a list, table, or graphical representation.
Grouped and Ungrouped are two types of Frequency Distribution.
Data is a collection of numbers or values and it must be organized for it to be useful. Let us take a look at data and its frequency distribution.