Mathematics
Mathematics
Problem
Kylie is interested in the ages of spectators at a rugby match. She selects a sample of 30 spectators. Their ages are shown below: 17 24 30 10 42 48 37 19 28 53 29 40 11 21 9 43 22 59 46 52 31 13 7 26 32 47 22 15 26 42 Use technology to find the sample standard deviation.Intuitive explanation
Standard deviation measures how spread out the ages are from the average—it tells you whether spectators are clustered around one age or scattered across a wide range. Since calculating this by hand involves finding the mean, then squaring many deviations and averaging them, technology (a calculator or spreadsheet) is the practical tool here; your job is to input the data correctly and read the result, understanding that a larger standard deviation means more age diversity in the crowd.
Intuitive explanation
Standard deviation measures how spread out the ages are from the average—it tells you whether spectators are clustered around one age or scattered across a wide range. Since calculating this by hand involves finding the mean, then squaring many deviations and averaging them, technology (a calculator or spreadsheet) is the practical tool here; your job is to input the data correctly and read the result, understanding that a larger standard deviation means more age diversity in the crowd.