Pre Test

On one Saturday in June, the number of goals scored in a football league was recorded.

This type of data is:

• Numerical Discrete

• Numerical Categorical

• Categorical Ordinal

• Categorical Nominal

Answer explanation

This is numerical discrete data because the data being recorded are distinct, whole numbers.

For the provided set of data, find the Mode:

3, 3, 3, 3, 4, 5, 9, 11, 13

Answer explanation

The mode is the most common value, which in this set is 3.

For the provided set of data, find the Range:

3, 3, 3, 3, 4, 5, 9, 11, 13

Answer explanation

The range is the difference between the highest and the lowest value, so 13−3=10.

For the provided set of data, find the Median:

3, 3, 3, 3, 4, 5, 9, 11, 13

Answer explanation

The median is the middle value when all the values are arranged in ascending order. The median value for this set of data is 4.

Select all the questions from the following list that should not be used in a questionnaire about school uniforms

• The present uniform is pretty ugly. Don’t you agree we should change it?

• To which age group do you belong?

• Do you like the skirt, the tie and the blazer?

• How do you feel the uniform is priced?

• Are you in favour of a change to the school uniform?

Answer explanation

The first statement is biased and the question is asking you to agree with the bias.

The second question is asking for an opinion on too many things at once.

A sample of people were asked about the number of hours per week they spend doing exercise. The data was put into a grouped frequency table with class intervals of:

0−<4

4−<8

8−<12 and so on.

Which kind of graph would be the best choice for presenting this data?

• Bar chart

• stem and Leaf plot

• Histogram

• Dot plot

The graph shows the number of children per household in survey of 20 households.

Select the statement that is not true.

• The modal number of children in a household is 2.

• There are 20 children in total.

• The range of the number of children is 5.

• There are 33 children in total.

• No household in the survey has 4 children.

Answer explanation

Find the mean for this set of data: 3, 3, 3, 3, 4, 5, 7.

Answer explanation

A group of friends recorded how many hours they each spend watching television a week. Their results are shown in the following table.

Calculate the mean for the data, correct to 2 decimal places.

A group of friends recorded how many hours they each spend watching television a week. Their results are shown in the following table.

Write down the median for this data.