Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The daily numbers of chocolate bars sold in a cinema over 100 days are recorded in the table below: Number of chocolate bars sold: $1$-$10$, $11$-$15$, $16$-$30$, $31$-$50$, $51$-$60$; Number of days: $18$, $24$, $30$, $20$, $8$.
(a)[5]

Use a histogram to display this information.

(b)[2]

What is the largest possible value of the interquartile range for the data?

(c)[4]

Calculate estimates of the mean and standard deviation of the number of chocolate bars sold.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Class widths correct: $10,5,15,20,10$

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