A sample of apples were weighed individually and recorded to the nearest gram. Their masses are repr

Question

A sample of apples were weighed individually and recorded to the nearest gram. Their masses are represented in the frequency table below.
Mass (m grams) Frequency
$110 < m ≤ 120$ $10$
$120 < m ≤ 130$ $22$
$130 < m ≤ 140$ $8$
$140 < m ≤ 150$ $20$
1. If the data above is represented using a pie chart, find the angle of the sector that represents $110 < m ≤ 120$
  [2]
2. Find the estimated mean mass of the apples in the sample.
  [2]
3. Explain why it is not suitable to represent the above data using a dot diagram.
  [1]
Suggest a misleading feature of this statistical diagram and how it may be lead to misinterpretation by the readers.
[2]

Accepted Answer

(a)(i) $60^\circ$ (ii) $131.3\text{ g}$ (iii) Grouped data do not show individual masses (b) Equally spaced months represent unequal time intervals, which can distort the apparent rate of change.

Mass (m grams)	Frequency
\(110 < m ≤ 120\)	\(10\)
\(120 < m ≤ 130\)	\(22\)
\(130 < m ≤ 140\)	\(8\)
\(140 < m ≤ 150\)	\(20\)

Statistics - Interpreting and Evaluating Statistical Representations

Statistics - Interpreting and Evaluating Statistical Representations

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