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Exploring Averages with Graphs

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Exploring Averages with Graphs

Read each question carefully. Use the data shown to answer. When you draw a graph or picture, add labels so someone else can understand it.

Averages and data

1.Match each word to its meaning.

Mode
Median
Mean

The value that appears most often
The middle value after numbers are put in order
A fair share when a total is shared equally

2.Nikau asks which snack was chosen most often on the train. Which average will help him find the most popular choice?

Mode
Median
Mean

Finding and showing the mode

3.On a train trip, children chose fruit for a snack: pears 6 votes, mandarins 4 votes, kiwifruit 6 votes, and plums 2 votes. Which fruit or fruits are the mode?

4.Show the train snack votes in a bar graph. Include a title, labels for each fruit, and a number scale.

Finding the median

5.Anahera counted how many carriages passed at five stations: 3, 7, 5, 4, 6. Write the numbers from smallest to largest, then give the median.

6.To find the median of a group of numbers, what should you do?

Put the numbers in order and find the middle
Choose the largest number
Add the numbers to find the total
Find the number that appears most often

Mean as a fair share

7.Mere has 18 tickets to share equally between 3 family members for the train ride. How many tickets does each person get?

8.Show one way to work out how 18 tickets can be shared equally between 3 people.

9.Which situations could use a fair-share mean? Choose all that fit.

Sharing 12 crackers equally among 4 travellers
Finding the most-chosen train snack
Splitting 20 colouring pencils equally between 5 tables
Finding which colour was picked most often

Averages on a train trip

10.At a train station, a group counted the pets travelling with families: dogs 5, cats 3, rabbits 1, birds 3, and fish 2. Name the mode, then put the five vote totals in order and find their median.

11.What does the mode tell you about the pet-count data: dogs 5, cats 3, rabbits 1, birds 3, fish 2?

12.Draw 12 small train tickets and share them equally into 4 groups. How many tickets belong in each group?

Choose an average

13.Choose Mode, Median, or Mean for each train-trip question: the snack chosen most often; 15 crayons shared equally among 3 groups; the middle number in 2, 4, 7, 8, 9.

14.Find the mode of this set of carriage numbers: 2, 4, 4, 1, 4, 3.