D1.5: Determine the mean and the median and identify the mode (s), if any…
Determine the mean and the median and identify the mode (s), if any, for various data sets involving whole numbers and decimal numbers, and explain what each of these measures indicates about the data.
The Ontario Mathematics, Grades 1–8 outcome D1.5 (Data) for Grade 5 says: “Determine the mean and the median and identify the mode (s), if any, for various data sets involving whole numbers and decimal numbers, and explain what each of these measures indicates about the data.” This Fieldbook unit teaches it hands-on, with everyday materials and a printable teacher guide and student sheet for every lesson. Official wording: Ontario Mathematics, Grades 1–8.
Data Detectives Grade 5
How fast are our reflexes? Which graph is telling the truth? Do taller people really have bigger hands? Three lessons where students collect their own measurements and find out what numbers can and can't tell you.
- How fast are our reaction times? 50–60 min
Partners drop a ruler and catch it, five times with their writing hand and five times with the other hand. Students find the mean, median and range of their own catches and the class's, then decide whether our writing hand really is quicker.
- Which graph tells the truth? 50–60 min
Teams take the class's reaction-time results and draw two bar graphs of exactly the same numbers: one honest, one built to exaggerate. Then they hunt for the same tricks in a set of sneaky graphs and fix an advertisement's chart.
- Do taller people have bigger hands? 50–60 min
Students measure height and hand span, plot every person as one point on a scatter plot, and draw a trend line by eye. They decide whether taller people tend to have bigger hands, and learn the difference between a trend and a rule.
Printable practice for D1.5
These pages practise a closely related idea; the match to D1.5 is partial.
- Data Detectives workbook included with the unit
2 practice pages, 2 readings, 1 English-support page, 1 unit review, 1 unit test, with answer keys.
- Mean, Median, Mode and Range printable pack
4 practice pages, 1 assessment, with answer keys. Free sample.
- Grade 3 Ontario Math: Data printable pack
2 practice pages, 2 activities, 1 assessment, with answer keys. Free sample.
- Grade 4 Ontario Math: Data printable pack
4 practice pages, 2 activities, 1 assessment, with answer keys. Free sample.
- Grade 5 Ontario Math: Data printable pack
3 practice pages, 1 activity, 1 assessment, with answer keys. Free sample.
- Grade 3 Common Core Math: Data and Graphs printable pack
2 practice pages, 2 activities, 1 assessment, with answer keys. Free sample.
- Grade 4 Common Core Math: Data and Graphs printable pack
4 practice pages, 2 activities, 1 assessment, with answer keys. Free sample.
- Grade 5 Common Core Math: Data and Graphs printable pack
3 practice pages, 1 activity, 1 assessment, with answer keys. Free sample.
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Compared with Common Core: 6.SP.B.5 (partial).
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