Question

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In a math test given to 15 students the following marks out of 100 are recorded
41 39 48 52 46 62 54 40 96 52 98 40 42 52 60 Find mode with table.

FULL EXPLANATION NEEDED ​

Answer 1

Answer

$\Large\frak{\underline{\underline{Question:}}}$

In a maths test given to 15 students the following marks out of 100 are recorded:

41,39,48,52,46,62,54,40,96,52,98,40,42,52,60

Find the Mode of the above data.

$\rule{170}2$

$\Large\frak{\underline{\underline{Your~Answer:}}}$

$\underline{\bigstar\:\textsf{Mode \: of \: data:}}\\\\ \sf\ Reference \: of \: occuring \: of \: outcomes \: is \\ \sf\ shown \: in \: table:$

$\boxed{\begin{tabular}{ c || c} \bf{Observation} & \bf{Times of occurring}\\ \cline{1-2}\sf{39} & \sf{1} \\ \cline{1-2}\sf{40} & \sf{2}\\ \cline{1-2}\sf{42} & \sf{1}\\ \cline{1-2}\sf{46} & \sf{1}\\ \cline{1-2}\sf{48} & \sf{1}\\ \cline{1-2}\sf{52} & \sf{3}\\ \cline{1-2}\sf{54} & \sf{1}\\ \cline{1-2}\sf{60} & \sf{1}\\ \cline{1-2}\sf{62} & \sf{1}\\ \cline{1-2}\sf{86} & \sf{1}\\ \cline{1-2}\sf{98} & \sf{1}\end{tabular}}$

$\normalsize\sf\ From \: the \: observations \: it \: is \: quite \: simple \: \\ \sf\ to \: know \: that \: 52(3)\: has \: highest \: times \: of \: occurring \\\\\\\maltese\:\:\boxed{\sf\ Mode = Maximum \: number \: of \: occuring}\\\\\\ \normalsize\ : \implies\sf\ Mode = 52 \\\\\\\normalsize\ : \implies{\underline{\boxed{\sf \red{ Mode = 52}}}}$

Answer 2

Given :-

In a math test given to 15 students the following marks out of 100 are recorded

41 39 48 52 46 62 54 40 96 52 98 40 42 52 60..

To Find :-

• mode with table.

Solution :-

Mode :- The mode of a data set is the number that occurs most frequently in the set.

→ To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs.

→ The number that occurs the most is the mode...

Given Marks of 15 Students :- 41 39 48 52 46 62 54 40 96 52 98 40 42 52 60

Table :-

Marks No. of Times Occurs

→ 39 1

→ 40 2

→ 41 1

→ 42 1

→ 46 1

→ 48 1

→ 52 3

→ 54 1

→ 60 1

→ 62 1

→ 96 1

→ 98 1.

Total :- 15.

From Data we can See That, The Marks That occurs Most Times is 52 = 3 Times.

Hence, we can conclude That, Mode of given Data is 52.