Standard Deviation, SM-Bank 011

Mr Ralph has a History class that has completed two separate exams during the term.

The results of each exam are summarised in the histograms below.

Without using calculations, explain which test will have the highest standard deviation. (2 marks)

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\(\text{By inspection, Test B has a higher range than Test A.}\)

\(\text{Test A results look to have a tighter spread of data points}\)

\(\text{about its expected mean, when compared to Test B.}\)

\(\text{Test B will therefore have a higher standard deviation.}\)

Show Worked Solution

\(\text{By inspection, Test B has a higher range than Test A.}\)

\(\text{Test A results look to have a tighter spread of data points}\)

\(\text{about its expected mean, when compared to Test B.}\)

\(\text{Test B will therefore have a higher standard deviation.}\)