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Lesson Example Discussion Quiz: Class Homework

Step-5

Title: Mean Absolute Deviation, Standard Deviation, Percentages

Grade: 1400-a Lesson: S4-L5

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	In a class of 30 students, 18 of them passed the exam. Calculate the percentage of students who passed the exam.
2	Formula:	\$("Percentage" = ("Value")/("Total value")) \times 100\$
3	Step	To calculate the percentage of students who passed the exam, you can use the following formula	\$"Percentage" = ("Number of students who passed")/("Total number of students") \times 100\$
4	Step	Given	→ Number of students who passed the exam = 18 → Total number of students = 30
5	Step	Substitute the values into the formula	\$"Percentage" = (18 / 30) \times 100\$
6	Step	First, simplify the fraction	\$18 / 30\$ = 0.6
7	Step	Then, multiply by 100 to find the percentage	\$0.6 \times 100\$ = 60%
8	Step	Therefore, the percentage of students who passed the exam is 60%.
9	Choice.A	This percentage would imply that only 12 out of 30 students passed the exam because of \$(12 / 30) \times 100\$ = 40%. This is incorrect based on the given data	40%
10	Choice.B	This means exactly half of the students passed the exam. For 50%, 15 out of 30 students would need to pass. Since 18 students passed, this option is also incorrect	50%
11	Choice.C	This is the correct percentage. Given that 18 out of 30 students passed, this matches our earlier calculation	60%
12	Choice.D	This option suggests that 70% of the students passed the exam. To check this, we would calculate \$(70 / 100) \times 30\$, which equals 21 students. Since 18 students passed, this option is incorrect	70%
13	Answer	Option	C
14	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

In a class of 30 students, 18 of them passed the exam. Calculate the percentage of students who passed the exam.

Formula:

\$("Percentage" = ("Value")/("Total value")) \times 100\$

Step

To calculate the percentage of students who passed the exam, you can use the following formula

\$"Percentage" = ("Number of students who passed")/("Total number of students") \times 100\$

Step

Given

→ Number of students who passed the exam = 18
→ Total number of students = 30

Step

Substitute the values into the formula

\$"Percentage" = (18 / 30) \times 100\$

Step

First, simplify the fraction

\$18 / 30\$ = 0.6

Step

Then, multiply by 100 to find the percentage

\$0.6 \times 100\$ = 60%

Step

Therefore, the percentage of students who passed the exam is 60%.

Choice.A

This percentage would imply that only 12 out of 30 students passed the exam because of \$(12 / 30) \times 100\$ = 40%. This is incorrect based on the given data

40%

Choice.B

This means exactly half of the students passed the exam. For 50%, 15 out of 30 students would need to pass. Since 18 students passed, this option is also incorrect

50%

Choice.C

This is the correct percentage. Given that 18 out of 30 students passed, this matches our earlier calculation

60%

Choice.D

This option suggests that 70% of the students passed the exam. To check this, we would calculate \$(70 / 100) \times 30\$, which equals 21 students. Since 18 students passed, this option is incorrect

70%

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?