When you can assign numerical values to events, the cumulative frequency is the number of times events with values that are less than or equal to a given value occurs. Cumulative probability is the probability of events occuring with values that are less than or equal to a given value.

You can use the data you collected in Activity 1 to construct a cumulative probability distribution.

Activity 2

5. Copy and complete the table below. Add the probabilities within each range to find the cumulative probalities.

   
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6. Reasoning Explain why the cumulative probability in the last interval is 1.

7. Copy the graph below and complete it using the cumulative probabilites you computed.

   

Exercises

8. Reasoning How would the cumulative probability graph you made in Activity 2 change if you used a bar for each sum (11 bars) instead of 5 bars? Explain.

   

9. Use a table and a graph to show the probability distribution for the spinner {red, green, blue, yellow}.
10. Use a table and graph to show the probability distribution for the number of days {28, 29, 30, 31} in each of 48 consecutive months.

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