In: Statistics and Probability
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.