Apps. and Interpretation for IBDP Maths Ebook 1 | Page 236

Your Practice Set – Applications and Interpretation for IBDP Mathematics
4. Consider the following data set of sixteen data:
1 3 5 5 5 7 9 2 2 2 2 4 6 8 10 0
The data set can be presented by the following frequency table:
Data
Frequency
0�x
� 3
p
3�x
� 6
q
6�x
� 9
r
9 �x
� 12
s
(a) Write down the values of p , q , r and s .
(b) Write down the modal class.
(c) (i) Using the data set, find the standard deviation.
[2]
[1]
(ii)
(iii)
Using the frequency table, find an estimate for the standard deviation.
Hence, find the percentage error in the estimate in (c)(ii).
[5]
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