Question

The average score of a maths test in a class is 72. Find the total score if there are 32 students in the class. (1) 104 (3) 2304 (2) 1656 (4) 2340

Answer 1

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✴ Required Answer:

✏GiveN:

• Average score = 72
• Number of students = 32

✏To finD:

• Total score of all students....?

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✴ How to solve?

The question has a term, "Average". You might have heard this term several times in day to day life like in a cricket match, Average score of players. In a height measuring campaign, average height and so on. Basically, Average means:

$\large{ \boxed{ \rm{Average = \frac{Total \: sum \: of \: all \: items}{Number \: of \: items} }}}$

✒ Here, in this question, the item is the score of students. And Average is average of all scores. Number if items is the total number of students. So, by using this we can solve this question.

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✳ Solution:

According to formula,

$\large{ \rm{Avg. \: of \: scores = \dfrac{Total \: sum \: of \: all \: scores}{Number \: of \: students} }}$

Given,

• Avg. score = 72
• Number of students = 32

By using formula,

$\large{ \rm{ \longrightarrow \: 72 = \dfrac{Total \: score \: of \: all \: students}{32} }} \\ \\ \large{ \rm{ \longrightarrow \: total \: score = 72 \times 32}} \\ \\ \large{ \rm{ \longrightarrow \: total \: score = \boxed{ \red{ \rm{2304}}}}}$

✏Correct Option - (2)

$\large{ \therefore{ \underline{ \underline{ \purple{ \rm{Hence \: solved \: \dag}}}}}}$

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Answer 2

$\star\;\;{\underline{\underline{\frak \red{GivEn:-}}}}$

• The average score of a maths test in a class is 72.
• Number of student in class = 32.

$\star\;\;{\underline{\underline{\frak \red{To\;find:-}}}}$

• Total score of all students in the class.

★ We know that,

$\star\;\;{\underline{\underline{\boxed{\sf{\purple{\dag\;Average = \dfrac{Total\;sum\;of\;all\;items}{Number\;of\:items}}}}}}}$

★ According to question:-

• Average = Average of all scores
• Item = Score of students
• No. of items = No. of students

$\rule{200}{3}$

$\star\;\;{\underline{\underline{\frak \green{Soluti0n:-}}}}$

$\star\;\;{\underline{\underline{\boxed{\sf{\purple{\dag\; Average_{(scores)} = \dfrac{Total\;sum\;of\;all\;scores}{Number\;of\:students}}}}}}}$

★ Putting Value in formula:-

$:\implies\normalsize\sf 72 = \dfrac{Total\;scores\;of\;all\; students}{32} \\\\ :\implies\normalsize\sf Total\;scores\;of\;all\; students = 72 \times 32 \\\\ :\implies\normalsize\sf Total\;scores\;of\;all\; students = {\underline{\boxed{\sf{\pink{2304}}}}}$

Therefore, Option (2) is correct AnswEr.

$\;\;\;{\underline{\underline{\sf{\red{\dag\;Hence,\;Solved!!!}}}}}$

$\rule{200}{3}$