Mathematics 4024 · O Level · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

The cumulative frequency graph for the lengths of the $50$ tracks on Abi's MP3 player is displayed.
(a(i))[1]

Use the graph to determine the median.

(a(ii))[2]

Use the graph to work out the interquartile range.

(b)[2]

Use the graph information to complete the frequency table for the track lengths.

(c)[2]

Abi listens to three tracks one after the other with no pause. If no track may be used twice, what is the largest possible time taken?

(d(i))[1]

How many minutes were taken for Abi's trip from station $A$ to station $F$?

(d(ii))[2]

What is the probability that the first track is still playing when Abi reaches station $B$?

(e)[2]

Abi chooses two different tracks at random. What is the probability that neither track lasts longer than $3$ minutes $30$ seconds?

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