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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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Respuesta :

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.

  1. 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]
  2. Divide the sum by the amount of students who took the test.[tex]310/15=20.667[/tex]
  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.[tex]\frac{20.667}{40}[/tex]
  2. Divide the numerator by the denominator (essentially changing the fraction into the decimal form). [tex]20.667/40=0.516[/tex]
  3. Multiply the quotient by 100. [tex]0.516*100=51.6[/tex]
  4. Therefore, the mean mark as a percentage is 51.6%

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