Question

In a test out of 40,the marks of 15 students were 31,18,6,26,36,24,23,14,28,28,32,9,11,22,21.

a.calculate the mean mark for the test
b.express the mean mark as a percentage
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Answer 1

a. The mean mark for the test was 20.667.

b. The mean mark as a percentage is 51.6%.

Explanation:

a. Calculate the mean mark for the test.

1. Add all of the scores from each student.
   `31+18+6+26+36+24+23+14+28+28+32+9+11+22+2=310`
2. Divide the sum by the amount of students who took the test.
   `310/15=20.667`
3. Therefore, the mean mark for the test was 20.667.

b. Express the mean mark as a percentage.

1. Put mean mark and total possible marks in fraction form.
   `(20.667)/(40)`
2. Divide the numerator by the denominator (essentially changing the fraction into the decimal form).
   `20.667/40=0.516`
3. Multiply the quotient by 100.
   `0.516*100=51.6`
4. Therefore, the mean mark as a percentage is 51.6%