Answer :
Answer:
a. The mean mark for the test was 20.667.
b. The mean mark as a percentage is 51.6%.
Step-by-step explanation:
a. Calculate the mean mark for the test.
- Add all of the scores from each student. [tex]31+18+6+26+36+24+23+14+28+28+32+9+11+22+2=310[/tex]
- Divide the sum by the amount of students who took the test.[tex]310/15=20.667[/tex]
- Therefore, the mean mark for the test was 20.667.
b. Express the mean mark as a percentage.
- Put mean mark and total possible marks in fraction form.[tex]\frac{20.667}{40}[/tex]
- Divide the numerator by the denominator (essentially changing the fraction into the decimal form). [tex]20.667/40=0.516[/tex]
- Multiply the quotient by 100. [tex]0.516*100=51.6[/tex]
- Therefore, the mean mark as a percentage is 51.6%
