IB Mathematics SL 4.1 Concepts of population, sample AI HL Paper 1- Exam Style Questions- New Syllabus
(a) State which of the following sets of data are discrete [2]
(i) Speeds of cars travelling along a road.
(ii) Numbers of members in families.
(iii) Maximum daily temperatures.
(iv) Heights of people in a class measured to the nearest cm.
(v) Daily intake of protein by members of a sporting team.
(b) The boxplot below shows the statistics for a set of data [3]
For this data set write down the value of
(i) the median
(ii) the upper quartile
(iii) the minimum value present
(c) Write down three different integers whose mean is 10 [1]
▶️ Answer/Explanation
(a)
(ii) and (iv) are discrete.
Discrete data are countable; (ii) family members and (iv) heights to nearest cm take specific values.
Result: (ii) and (iv) [2]
(b)
(i) Median = 10
(ii) \( Q_3 = 12 \)
(iii) Minimum value = 1 (±0.2)
Read boxplot values: median (central line), upper quartile (upper box edge), minimum (lower whisker).
Result: Median = 10, \( Q_3 = 12 \), Minimum = 1 [3]
(c)
9, 10, 11
Use mean formula: \( \frac{a + b + c}{3} = 10 \), so \( a + b + c = 30 \).
Step: \( 9 + 10 + 11 = 30 \), \( \frac{30}{3} = 10 \).
Result: 9, 10, 11 [1]