Question

In: Statistics and Probability

Amount spent # of students cumulative frequency 1 -10 3 3 11-20 7 10 21-30 9...

Amount spent # of students cumulative frequency
1 -10 3 3
11-20 7 10
21-30 9 19
31-40 11
41-50 8
51-60 2

(a) complete the table to show the cumulative frequency

(b) using the scale of 1 cm to represent $5 on the horizontal axis and 1cm to represent 5 students on the vertical axis, draw the cumulative frequency graph for the data.

(marks will be awarded for axis appropriately labelled, points correctly plotted and a smooth curve carefully drawn)

(c) use your graph to estimate (i) the median amount of money spent (ii)the probability that a student chosen at random spent less than $23 during the week.

show on your graph, using broken lines, how these estimates were determined.

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