FINDING THE MEAN FROM A FREQUENCY TABLE



FINDING THE MEAN FROM A FREQUENCY TABLE

1. The table shows the number of different coins Paula has in her purse.

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(a) How many coins does Paula have in her purse?

(b) How much do all the 1p coins make in total?

(c) How much do all the 2p coins make in total?

(d) How much do all the 5p coins make in total?

(e) How much do all the 10p coins make in total?

(f) How much do all the 20p coins make in total?

(g) How much do all the 50p coins make in total?

(h) How much do all the £1 coins make in total?

(i) Use your answers from parts (b) to (h) to work out how much all of Paula’s coins add up to.

(j) What is the mean value of the coins?

2. The table shows the scores obtained when a die was thrown lots of times.

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(a) How many times was the die thrown altogether?

(b) What do all the 1s add up to?

(c) What do all the 2s add up to?

(d) What do all the 3s add up to?

(e) What do all the 4s add up to?

(f) What do all the 5s add up to?

(g) What do all the 6s add up to?

(h) What do the scores add up to altogether?

(i) What was the mean score?

3. The table shows the number of people in each car in a queue for a car park.

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(a) How many cars were in the queue?

(b) How many people were in the cars altogether?

(c) What was the mean number of people per car?

4. A class of children were asked their shoe sizes. The results are shown below.

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What was the mean shoe size?

5. ‘Firebrand Matches’ are supposed to come in boxes of 40. A trading standards inspector picks a sample of 20 boxes of matches and counts up how many matches are in each box. Her results are shown below.

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(a) Work out the mean number of matches in each box.

(b) What do you think the inspector might say to the manager of ‘Firebrand Matches’?

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