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# Univariate Data

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### Transcript

• 1. Univariate Data
• Objectives
• What are categorical and numerical data?
• What is a bar chart and when is it used?
• What is a histogram and when is it used?
• What is a stem-and-leaf plot and when is it used?
• What are the mean, median, range, interquartile range, variance and standard deviation?
• What are the properties of these summary statistics and when is each used?
• How do we construct and interpret boxplots?
• 2. Types of Data
• What question might have generated this data?
• Red, Black, Blue, Red, Grey, Pink, Blue, Green
• 4, 1, 0, 2, 2, 1, 5, 0
• Yes, Yes, No, Maybe, Yes, Maybe
• 56, 60, 49, 50, 53, 63
• 12.4, 13.1, 10.6, 15.0, 11.9
• 3. Types of Data
• We can classify data as being either:
• Numerical
• Categorical
• 4. Types of Data
• We can classify data as being either:
• Numerical
• Discrete – can be counted, e.g. number of pets
• Continuous – can be measured, e.g. height, time etc.
• Categorical
• In pairs or groups of 3, you will create a podcast to explain types of data.
• You will need to take photos using your phone and upload them to your computer. Use as many examples as you can find around the school site.
• Use iMovie to create your podcast.
• Once finished, transfer your podcast to your teacher’s computer via USB stick.
• Your podcast must be finished by the end of next lesson.
• 6. Frequency tables
• Can be used to organise data.
• Some people were asked ‘How many siblings do you have?’
• The results were 3,2,3,4,1,2,0,1,1,1,4,0,2
• This can be better displayed as:
Number of siblings Frequency 0 1 2 3 4
• 7. Frequency tables
• Can be used to organise data.
• Some people were asked ‘How many siblings do you have?’
• The results were 3,2,3,4,1,2,0,1,1,1,4,0,2
• This can be better displayed as:
Number of siblings Frequency 0 2 1 4 2 3 3 2 4 2
• 8. Frequency tables
• Some people were asked ‘What did you have for breakfast?’
• The results were ‘cereal, toast, nothing, cereal, bacon and eggs, toast, nothing, nothing, toast’
• This can be better displayed as:
Breakfast Frequency cereal toast nothing bacon and eggs
• 9. Frequency tables
• Some people were asked ‘What did you have for breakfast?’
• The results were ‘cereal, toast, nothing, cereal, bacon and eggs, toast, nothing, nothing, toast’
• This can be better displayed as:
Breakfast Frequency cereal 2 toast 3 nothing 3 bacon and eggs 1
• 10. Frequency tables
• Some people were asked ‘How old are you?’
• The results were ’11, 31, 57, 48, 17, 18, 50, 36’
• This can be better displayed as:
Age Frequency 11 1 12 0 13 0 14 0 15 0 16 0 17 1 18 1 19 0 20 0 21 0
• 11. Frequency tables
• Some people were asked ‘How old are you?’
• The results were ’11, 31, 57, 48, 17, 18, 50, 36’
• This can be better displayed as:
Age Frequency 10-19 20-29 30-39 40-49 50-59
• 12. Frequency tables
• Some people were asked ‘How old are you?’
• The results were ’11, 31, 57, 48, 17, 18, 50, 36’
• This can be better displayed as:
Age Frequency 10-19 3 20-29 0 30-39 2 40-49 1 50-59 2
• 13. Frequency tables
• This is called a grouped frequency table.
• We group our age ranges to suit our data.
• These groups are called class intervals .
Age Frequency 10-19 3 20-29 0 30-39 2 40-49 1 50-59 2
• 14. Frequency tables
• What if people were asked to give their date of birth to the nearest day? E.g. 19 years and 163 days
• For continuous data, we need to be specific.
Age Frequency 10-19 3 20-29 0 30-39 2 40-49 1 50-59 2
• 15. Frequency tables
• What if people were asked to give their date of birth to the nearest day? E.g. 19 years and 163 days
• For continuous data, we need to be specific.
Age Frequency 10<20 3 20<30 0 30<40 2 40<50 1 50<60 2
• 16. Frequency tables Click on the link below to access the current rainfall data for this month in Melbourne. http://www.melbournewater.com.au/content/water_storages/water_report/rainfall_data.asp?bhcp=1 Copy just the rainfall data in the second column and paste it into Excel. Sort the data into order. Choose appropriate class intervals and create a Grouped Frequency Table in Excel. Give your table a title which explains what the table shows. Save your file in your Maths folder. Rainfall (mm) Frequency
• 17. Frequency tables