Question

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Answer 1

Answer:

Option (3)

Step-by-step explanation:

From the picture attached,

Bar graph sketched shows the grades earned by the students in an exam.

Number of students who achieved the grade A = 17

Number of students who achieved grade B = 14

Number of students with grade C = 5

Number of students with grade D = 9

Total students who took the exam = 17 + 14 + 5 + 9 = 45

Option (1)

"$\frac{1}{5}$ of the students earned a C"

Fraction of students who earned C = $\frac{\text{Students who earned C}}{\text{Total students}}$

                                                          = $\frac{5}{45}$

                                                          = $\frac{1}{9}$

Therefore, this option is incorrect.

Option (2)

"3% more students earned an A then B"

Percentage of students who earned A = $\frac{\text{Students got A}}{\text{Total students who took the exam}}\times 100$

                                                                = $\frac{17}{45}\times 100$

                                                                = 37.78%

Percentage of students who earned B = $\frac{\text{Students got B}}{\text{Total students who took the exam}}\times 100$

                                                                = $\frac{14}{45}\times 100$

                                                                = 31.11%

Difference in percentage = 37.78 - 31.11

                                          = 6.67%

Therefore, this option is not correct.

Option (3)

"20% of the students earned a D"

Percentage of students who earned D = $\frac{\text{Students got D}}{\text{Total students who took the exam}}\times 100$

                                                                 = $\frac{9}{45}\times 100$

                                                                 = 20%

Option (3) is the correct option.

Option (4)

" $\frac{1}{4}$ of the class earned a B"

Fraction of class who earned B = $\frac{\text{Students got B}}{\text{Total students who took the exam}}$

                                                    = $\frac{14}{45}$

Therefore, Option (4) is not correct.