Browsing as Guest. Progress, bookmarks and attempts are disabled.
Log in to track your work.
June 2015 p61 q2
2397
The table summarises the lengths in centimetres of 104 dragonflies.
Length (cm)
2.0–3.5
3.5–4.5
4.5–5.5
5.5–7.0
7.0–9.0
Frequency
8
25
28
31
12
State which class contains the upper quartile.
Draw a histogram, on graph paper, to represent the data.
Solution
(i) To find the class containing the upper quartile, calculate the position of the upper quartile in the ordered data set. The upper quartile position is given by \( \frac{3}{4} \times 104 = 78 \). Cumulative frequencies are: 8, 33, 61, 92, 104. The 78th value falls in the class 5.5–7.0 cm.
(ii) To draw the histogram, calculate the frequency density for each class using the formula \( \text{Frequency Density} = \frac{\text{Frequency}}{\text{Class Width}} \).