0580/32 Feb/Mar 2023, Question 2: Pie Charts

Part (ai) · 2 marks

Calculate the pie chart sector angle for each book type and fill in the table.

1. 1Each student = 360 ÷ 30 = 12°
2. 2Joke = 8 × 12 = 96°
3. 3Puzzle = 18 × 12 = 216°
4. 4Poetry = 4 × 12 = 48°
5. 5Sector angles: 96°, 216°, 48°

Answer96, 216, 48

Part (aii) · 2 marks

Draw the pie chart sectors on the circle using the angles found.

1. 1Starting from the vertical radius, measure 96° and draw a radius for Joke
2. 2From that radius measure 216° for Puzzle; the last sector is 48° for Poetry
3. 3Label each sector

AnswerCorrect pie chart drawn

Part (aiii) · 1 mark

Find the probability that a randomly chosen student prefers puzzle books.

1. 1P(puzzle) = 18/30

Answer18/30

Part (bi) · 1 mark

State the mode of the test scores from the stem-and-leaf diagram.

1. 151 appears three times, more than any other score
2. 2Mode = 51

Answer51

Part (bii) · 2 marks

Given 75% of 24 students pass, work out the lowest passing score.

1. 1Number who pass = 75/100 × 24 = 18
2. 2Number who fail = 24 − 18 = 6
3. 3The 6 lowest scores are 22, 25, 26, 29, 33, 37
4. 4Lowest pass score = the 7th score = 38

Answer38

Part (biii) · 1 mark

Calculate the range of the test scores.

1. 1Range = 67 − 22 = 45

Answer45

Part (biv) · 2 marks

Frankie's score raises the range by 3 marks; find the two possible scores.

1. 1New range = 45 + 3 = 48
2. 2Either a new lowest: 67 − 48 = 19
3. 3or a new highest: 22 + 48 = 70
4. 4Frankie's score is 19 or 70

Answer19, 70

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