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

Hint: 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.