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Statistics Play Stations

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Statistics Play Stations

Visit each station in order. Use the data and visuals on this sheet to answer the questions. Show your thinking where you can.

Station 1: Train-time tally

Keira and Rawiri recorded how many minutes five trains were delayed at a station.

Train

Delay (minutes)

1.Using the train delay data, which delay happened most often?

2.What was the range of the five train delays? Find the difference between the longest and shortest delay.

3.What was the mean delay? Add the five delays and divide by 5.

Station 2: Snack-bar survey

Isla asked 12 passengers which snack they would choose for a journey. The results are shown in the frequency table.

Snack

Passengers

Apple

Sandwich

Muffin

4.Which snack was the most popular, and how many passengers chose it?

5.How many more passengers chose apples than muffins?

6.Make a column graph of the snack-bar survey. Label the categories and show a scale from 0 to 5 passengers.

Station 3: Guess, spin and test

At the waiting area, Keira uses a fair spinner with four equal sections: red, blue, yellow and green.

7.The spinner has four equal colours. What is the chance of landing on blue in one spin?

Certain
Likely
Even chance
Unlikely
Impossible

8.If Keira spins the fair four-colour spinner 20 times, how many times would you expect it to land on blue?

9.A train arrives at the platform every 10 minutes. Is it certain, likely, unlikely or impossible that the next train will arrive within the next 10 minutes? Explain your choice.