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Solved problems for the chapter:

Statistical charts and diagrams

View the theory »

Measures of central tendency for KS4

1. Arithmetic mean

1.1. Arithmetic mean of grouped data

2. Mode

2.1. Mode of grouped data

2.2. Bimodality

3. Median

4. Forum

↓ Show theory [1] ↓

Detailed solution steps are available at:

https://en.openprof.com/wb/chapter:statistical_charts_and_diagrams/5377/

Example 1.

The chart below shows the top three countries by number of medals and Slovenia at the 2010 and 2014 Winter Olympics. See the chart and answer the questions below.

Which countries were among the top three medals at both Olympics?
Which country won the fewest silver medals in 2010?
How many gold medals did Slovenia win in 2010?
Did Slovenia win more than 5 medals at any Olympic Games?
Which country won the most medals in 2010 and which in 2014?
How many gold medals were there among the top three countries in 2014?

Example 2.

See the fuel oil consumption diagram for a residential building. The diagram shows the fuel consumption in liters for each month in one year. Answer the questions below.

Fuel consumption in liters by months

When was the consumption the highest?
When was consumption the lowest?
When did consumption increase?
When did consumption fall?
In which months did consumption not change?

The chart below shows the number of baskets scored by the top scorer of a basketball tournament in six matches.

What is the average number of baskets scored by the top scorer in six matches? Calculate and write the answer.

The figure below shows the prices of a barrel of oil on the world market. Prices are in pounds.

Read the prices and write them in the spreadsheet. Calculate the average oil price from Jan. 12 to Jan.19.
Calculate the maximum price increase between consecutive days. Write it down as a percentage.
Calculate savings on purchase of 20,000 barrels of oil if purchase is made Jan. 12 instead of Jan. 14.

A family weighed the amount of trash they dumped into a brown bio-waste container. The mass of garbage for the last 6 months is shown in the chart below:

Which month did they throw away the most garbage?
How many kilograms of garbage did they throw away in the month when they threw away the most garbage?
Calculate the arithmetic mean of the mass of discarded garbage for the six months.