Question

Question :

Refer to the attachment !!

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Answer 1

✪ Given :: –

• A dice was thrown ➠ 30 times.
• The following outcomes were noted .

☘ The following noted outcomes are :

• 4,3,3,2,5,4,4,6,1,2,2,3,4,6,2,3,3,4,1,2,3,3,4,5,6,3,2,1,3,4.

✪ Exigency To Do :: –

• We have to represent the above data in the form of frequency distribution.

✰ Solution :: –

☯ We may represent the data, as shown below :

$\boxed{\begin{array}{c|c|c} \bf{\underline{Outcome}}& \bf{{\underline{Tally \: Marks}}}& \bf{{\underline{No. \: of \: outcomes}}} \\ 1& | | | &3 \\ {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: }}& {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}& {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ 2& {\cancel{||||}}\:| &6 \\ {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: }}& {\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: }}& {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\3& \cancel{|||| } \: | || | &9 \\ {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: }}& {\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: }} & {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ 4& \cancel{ | || | } \: || &7\\ {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: }}& {\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: }} & {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ 5& || &2\\ {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: }}& {\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: }} & {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ 6 & | | |&3 \end{array}}$

❍ Find More :: –

☯ DATA

• The word data means information in the form of numerical figures.

EXAMPLE 1 :

The marks obtained by 10 pupils of a class in a monthly test are given below:

• 37, 21, 43, 16, 25, 21, 28, 32, 45, 14.

We call it the data related to the marks obtained by 10 pupils of a class in a monthly test.

EXAMPLE 2 :

The ages (in years) of 12 teachers in a school are:

• 35, 43, 38, 45, 32, 54, 39, 43, 39, 54, 24, 31.

We call it the data related to the ages of 12 teachers in a school.

☯ RAW DATA

• Data obtained in the original form is called raw data.

Data given in the above examples are raw data :

☯ ARRAY

• Arranging the numerlcal figures in an ascending or a descending order is called an array.

☯ TABULATION OF DATA

• Arranging the data in a systematic form in the form of a table is called tabulation or presentation of the data.

☯ OBSERVATIONS

• Each numerical figure in a data is called an observation.

☯ FREQUENCY OF AN OBSERVATION

• The number of times a particular observation occurs is called its frequency.

☯ STATISTICS

• It is the science which deals with the collection, presentation, analyst interpretation of numerical data.

Answer 2

Given :: –

• A dice was thrown ➠ 30 times.
• The following outcomes were noted .

4,3,3,2,5,4,4,6,1,2,2,3,4,6,2,3,3,4,1,2,3,3,4,5,6,3,2,1,3,4.

To Do :: –

We have to represent the above data in the form of frequency distribution.

✰ Solution :: –

We may represent the data, as shown below :

$\begin{gathered} \boxed{\boxed{\begin{array}{c|c|c} \bf{\underline{Outcome}}& \bf{\underline{Tally \: Marks}}& \bf{\underline{No. \: of \: outcomes}} \\ 1& | | | &3 \\ {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: }}& {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}& {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ 2& {\cancel{||||}}\:| &6 \\ {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: }}& {\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: }}& {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\3& {\cancel{|||| }} \: | || | &9 \\ {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: }}& {\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: }} & {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ 4& {\cancel{ | || | }} \: || &7\\ {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: }}& {\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: }} & {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ 5& || &2\\ {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: }}& {\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: }} & {\underline{ \: \: \: \: \: \quad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ 6 & | | |&3 \end{array}}}\end{gathered}$