Averages and Range from Frequency Tables

Sample Averages and Range from Frequency Tables questions

A few of the 52 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 14 marksGrade 3
   The table shows the number of films watched one week by 30 people.

   Number of films	Frequency
   0	5
   1	9
   2	8
   3	6
   4	2

   (a) Write down the modal number of films watched. (b) Work out the mean number of films watched per person.
   Show the worked solution

   (a) The highest frequency (9) occurs at 1 film, so the mode is 1. A1

   (b) Total films = (0×5)+(1×9)+(2×8)+(3×6)+(4×2) = 0+9+16+18+8 = 51.

What are the common mistakes in Averages and Range from Frequency Tables?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Uses an incorrect divisor (not the total frequency) when calculating a mean from a frequency table

  Divided by 4 (the number of distinct values) instead of the total frequency

• Gives the highest frequency count instead of the data value that occurs most often

  Gave the highest frequency count instead of the data value that occurs most often.

• Finds the median of a list of distinct values instead of using cumulative frequency to account for how often each value occurs

  Instead of using cumulative frequency to find the 13th data value (2), averages the middle two entries of the distinct fruit-count list itself (1 and 2), giving 1.5.

Quick answers about Averages and Range from Frequency Tables

How many Averages and Range from Frequency Tables practice questions are there?

There are 52 self-marking GCSE and IGCSE Maths questions on Averages and Range from Frequency Tables, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Each one is marked instantly and has a full worked solution.

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