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Statistics Refresher Worksheet
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Statistics Refresher Worksheet
Answer each question. Show your working where needed. For the select-all question, choose every correct option.
Statistics vocabulary and calculations
1.Match each statistical term to its meaning.
- Mean
- Median
- Mode
- Range
- The middle value when the data is ordered
- The total of the values divided by the number of values
- The value that occurs most often
- The difference between the greatest and least values
2.A class wants to show how many students prefer each of several different music genres. Which graph is most suitable for comparing the number of students in each category?
- Line graph
- Bar graph
- Scatter plot
- Number line
3.These are the daily hours of online gaming recorded for 10 students: 1, 4, 2, 3, 4, 5, 2, 4, 3, 2. Find the mode, range and median.
Interpreting and displaying data
Fruit
Blocks
Students
Apples
■■■■■■■
7
Pears
■■■■■■■■■■
10
Kiwifruit
■■■■■
5
Mandarins
■■■■■■■■
8
4.Use the fruit survey chart. Which fruit was selected by the greatest number of students?
5.How many students took part in the fruit survey altogether?
6.What percentage of the surveyed students chose apples?
7.Which statement about the fruit survey is correct?
- More students chose mandarins than pears.
- Kiwifruit was the least popular choice.
- Apples and kiwifruit together received more votes than pears.
- Exactly half the students chose pears.
8.Make a dot plot for the number of pets owned by these 12 students: 1, 0, 2, 1, 3, 1, 0, 2, 1, 2, 0, 1. Label the horizontal axis and stack one dot for each student.
Checking claims and data displays
9.A social media post says, “Most teenagers in New Zealand sleep fewer than six hours a night!” The claim is based on replies from 12 students at one intermediate school. Give two reasons the evidence may not support the claim about all New Zealand teenagers.
10.A student says their school café is the most popular lunch option because 18 people bought food there on Tuesday. What extra information would help you decide whether this conclusion is justified?
11.Select every choice that could make a graph misleading.
- Beginning a bar graph’s vertical axis at 0
- Making one category’s bar much wider than the others
- Using unequal intervals on an axis without clearly showing them
- Adding a clear title and labels
- Using a different colour for each category
12.Suggest one change to how the gaming-time data in the earlier question could be collected to make the results more reliable.
3 printable pages
Page 1
Page 2
Page 3
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