IBDP Maths AI: Topic: SL 4.1: Concepts of population, sample: IB style Questions SL Paper 2

State if the data is discrete or continuous.[1]

State the modal group.[1]

Write down the midpoint of the interval 10 < T ≤ 20 .[1]

Use your graphic display calculator to find an estimate for

(i) the mean;

(ii) the standard deviation.[3]

The results are represented in the cumulative frequency table below, with upper class boundaries of 10, 20, 30, 40, 50.

Write down the value of

(i) q;

(ii) r.[2]

The results are represented in the cumulative frequency table below, with upper class boundaries of 10, 20, 30, 40, 50.

On graph paper, draw a cumulative frequency graph, using a scale of 2 cm to represent 10 minutes (T) on the horizontal axis and 1 cm to represent 10 people on the vertical axis.[4]

Use your graph from part (f) to estimate

(i) the median;

(ii) the 90^th percentile of the results;

(iii) the number of people who shopped at the supermarket for more than 15 minutes.[6]