Skip to content
Skip to main content

About this free course

Download this course

Share this free course

Prices, location and spread
Prices, location and spread

Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available.

Exercises on Section 2

The following exercises provide extra practice on the topics covered in Section 2.

Exercise 4 A combined batch of camera prices

Find the mean price of the batch formed by combining the following two batches, uppercase A and uppercase B, of camera prices.

Batch uppercase A has mean price pounds 80.7 and batch size 10. Batch uppercase B has mean price pounds 78.5 and batch size 17.

Discussion

Mean price of all the cameras is

fraction open bracket 80 .7 times 10 close bracket + open bracket 78 .5 times 17 close bracket over 10 + 17 end = fraction 2141 .5 over 27 end comma

which is £79.3 (rounded to the same accuracy as the original means).

Exercise 5 The mean price of fabric

Suppose you buy 8.5 metres of fabric in a sale, at £10.95 per metre, to make some bedroom curtains. The following year you decide to make a matching bedspread and so you buy 6 metres of the same material, but the price is now £12.70 per metre. Calculate the mean price of all the material, in £ per metre.

Discussion

Mean price of all the material is

fraction open bracket 10 .95 times 8 .5 close bracket + open bracket 12 .70 times 6 close bracket over 8 .5 + 6 end = fraction 169 .275 over 14 .5 end comma

which is £11.67 (rounded to the nearest penny).