# Australian Bureau of Statistics

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 CensusAtSchool Australia

CaSQ 21 - Mean, Median and Mode of hours slept per night

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 How to: Get a Random Sample from CensusAtSchool Go to the CensusAtSchool Random Sampler and get a sample. Reference year: (Select year) Sample size: 100 students Select questions: Hours slept per night Location: Select location Year level: (Select a range of year levels) To protect privacy there is a rule built into the sampler that the requested sample size cannot exceed 10% of the respondents for the parameters entered.

1. In your CensusAtSchool random sample, find the question about hours slept/night, and write the first ten values below.

2. Showing your working, calculate the mean, median and mode for the above data set.

Mean: __________________ Median: _______________________ Mode: ______________________

3. You are told that the mean hours slept/night of a sample is 9 hours, a median is 9 hours and a mode of 9 hours. Create a realistic sample of 10 subjects that will give a mean, median and mode of 9 hours slept per night.You cannot have more that two numbers that are identical.

4. Get your neighbour to check your data: “This data sample of ten has a mean of 9 hours, a mode of 9 hours and a median of 9 hours.” signed: _____________________

Extension:

5. Explain in words how you went about creating a sample of ten numbers that had a mean of 9 hours, a mode of 9 hours and a median of 9 hours.