A TV channel organized an SMS (Short Message Service) poll on the prohibition on smoking, giving options like A- complete prohibition, B- prohibition in public places only, C- not necessary. SMS results in one hour were $A B A B C B A B B A C C B B A B B A B C B A B C B A B B A$
$B B C B A B A B C B B A B C B B A B B A B B A B C B A B B A B C A B B A$
Represent the above data as grouped frequency distribution table. How many appropriate answers were received? What was the majority of people's opinion?

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Solution

Grouped frequency Distribution table for the given question is:
$\begin{matrix} Options & Frequency(No. of times) A & 19 B & 35 C & 10 Total & 64 \end{matrix}$
The total appropriate answers received $= 64$
The majority of people's opinion was $B$ - Prohibition in Public Places only.

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Q. Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:

\begin{matrix} 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 \end{matrix}

Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5- 10.

Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:
$\begin{matrix} 1 & 6 & 2 & 3 & 5 & 12 & 5 & 8 & 4 & 8 10 & 3 & 4 & 12 & 2 & 8 & 15 & 1 & 17 & 6 3 & 2 & 8 & 5 & 9 & 6 & 8 & 7 & 14 & 12 \end{matrix}$
(i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5- 10. [2 MARKS]

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Grouped frequency Distribution table for the given question is: OptionsFrequency(No. of times)A19B35C10Total64 The total appropriate answers received =64 The majority of people's opinion was B - Prohibition in Public Places only.

Grouped frequency Distribution table for the given question is:
$\begin{matrix} Options & Frequency(No. of times) A & 19 B & 35 C & 10 Total & 64 \end{matrix}$
The total appropriate answers received $= 64$
The majority of people's opinion was $B$ - Prohibition in Public Places only.