Averages from Frequency Tables worksheet

5 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

1. 3 marks

   {ctx}

   {hdr} (\({sym}\))	Frequency
   \(0 < {sym} \leq 10\)	{f1}
   \(10 < {sym} \leq 20\)	{f2}
   \(20 < {sym} \leq 30\)	{f3}
   \(30 < {sym} \leq 40\)	{f4}
   \(40 < {sym} \leq 50\)	{f5}

   (a)

   {writedown} the modal class.

   (b)

   Write down the class that contains the median.

2. 4 marks

   The table shows the distance cycled by each of 25 members of a cycling club last week.

   Distance (\(d\) km)	Frequency
   \(0 < d \leq 10\)	7
   \(10 < d \leq 20\)	4
   \(20 < d \leq 30\)	7
   \(30 < d \leq 40\)	7
   Total	25

   Work out an estimate for the mean.

3. 4 marks

   Work out the value that has been rubbed out.

4. 4 marks

   Calculate an estimate of the mean. Give your answer to 1 decimal place.

5. 7 marks

   The tables show the number of books read by the pupils in two classes of 20.

   Number of books — class 9A	Frequency
   0	7
   1	4
   2	7
   3	2

   Number of books — class 9B	Frequency
   0	2
   1	4
   2	4
   3	10

   (a)

   Work out the mean number of books for class 9A.

   (b)

   Work out the mean number of books for class 9B.

   (c)

   Write down which of the two had the higher mean.

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