Question

For this question, you are required to find the standard deviation for a set of data. The answer alone will not achieve full marks. There are many tools available to calculate the standard deviation. Here you are required to use several of the tools and show your working out to earn the marks. The data is the test results of 21 students who sat a mathematics quiz worth 100 marks.

Results: 60, 47, 17, 43, 30, 90, 77, 61, 54, 89, 22, 80, 67, 37, 63, 50, 81, 21, 36, 51, 59.

a) Calculate the mean and variance and standard deviation using a scientific calculator.

b) Calculate the standard deviation by long hand showing all workings step-by-step.

c) Set up a spreadsheet to calculate the standard deviation. Insert a screen shot or snip to show the data and the answer.   

d) Use an on-line calculator to find the mean, variance and standard deviation of the data. Insert a screen shot or snip to show the three answers.

Answer 1

b)

c)

  

d)