Page 20 - Math SL HB Sem 3

The following diagram shows different classes of weights of chocolates produced by a factory

Frequency

20
15

10
5
weight/g
0 20 40 60 80 100 120

a) Find the estimates for the mean and the standard deviation of the weights.
b) i) Complete the following cumulative frequency table.

W ei9bt lko Cumulative frequen cy
<20 10
<40
<60
<80
< 100
< 120

ii) Then plot the cumulative frequency graph

c) Estimate the number of chocolates that weigh less than 50 g.
d) Estimate the median, the upper and lower quartiles.
e) Sketch the box-and-whisker diagram_
-
f) The prices of the chocolates, $p, are given by 2wz 3, where w represents the weights of
the chocolates. Find the mean price of the chocolates.

\ Solution

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