Sampling and populations: Practice Questions

The weights of \(5\) boxes are \(12\text{ kg}, 15\text{ kg}, 12\text{ kg}, 18\text{ kg},\) and \(13\text{ kg}\).
Calculate the mean weight of the boxes.<\/p>

The heights of five students are listed below:
\(150\text{ cm}, 160\text{ cm}, 155\text{ cm}, 170\text{ cm}, 165\text{ cm}\)
What is the median height?

The weights, \(w\text{ kg}\), of \(40\) parcels are shown in the grouped frequency table:

\(0 < w \le 2\): \(10\) parcels
\(2 < w \le 4\): \(14\) parcels
\(4 < w \le 6\): \(12\) parcels
\(6 < w \le 8\): \(4\) parcels

Calculate an estimate for the mean weight of the parcels.<\/p>

A set of test scores is shown below:
\(5, 7, 7, 8, 10, 11\)
What is the mode of these scores?

A group of \(80\) students were asked how they travel to school.
\(36\) students walk, \(20\) take the bus, and the rest cycle.
In a pie chart representing this data, what is the size of the angle for the cycle sector? <\/p>

A set of five numbers has a mode of 12 and a range of 7.
The numbers are 12, 15, 8, 12, and \(x\).
Find the value of \(x\).

The table shows information about the scores of \( 20 \) students in a test:

Score (s): \( 0 < s \le 10 \) | Frequency: \( 4 \)
Score (s): \( 10 < s \le 20 \) | Frequency: \( 9 \)
Score (s): \( 20 < s \le 30 \) | Frequency: \( 7 \)

Calculate an estimate for the mean score.

Find the mean of the following set of discrete numerical data:
\(4, 7, 10, 15, 19\)