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Objectives

Objectives. 1. Be able to find the mean from a frequency table. 2. Be able to compare two distributions using the mean and the range. ABC Motoring. Here are the number of tests taken before successfully passing a driving test by 40 students of “ABC Motoring”.

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Objectives

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  1. Objectives 1. Be able to find the mean from a frequency table. 2. Be able to compare two distributions using the mean and the range.

  2. ABC Motoring Here are the number of tests taken before successfully passing a driving test by 40 students of “ABC Motoring” 2, 4, 1, 2, 1, 3, 7, 1, 1, 2, 2, 3, 5, 3, 2, 3, 4, 1, 1, 2, 5, 1, 2, 3, 2, 6, 1, 2, 7, 5, 1, 2, 3, 6, 4, 4, 4, 3, 2, 4 It is difficult to analyse the data in this form. We can group the results into a frequency table.

  3. ABC Motoring That’s better!

  4. Finding the Mean Remember, when finding the mean of a set of data, we add together all the pieces of data. This tells us that there were nine 1’s in our list. So we would do 1+1+1+1+1+1+1+1+1 = 9 It is simpler to use 1x9!! We can do this for every row.

  5. Finding the Mean 40 117 So we have now added all the values up. What do we do now? We divide by how many values there were. So we divide by the total number of people. We now need to add these together

  6. Finding the Mean (student sheet.) 40

  7. 40 117 The Mean is 117÷ 40 = 2.9 (1dp)

  8. ABC Motoring Students who learn to drive with ABC motoring, pass their driving test after a mean number of 2.9 tests.

  9. Bob’s Driving School Now let’s look at another Driving school from the same town. Here are the number of tests taken by 40 students at “Bob’s Driving School” 3, 2, 4, 1, 3, 2, 3, 1, 2, 1, 2, 4, 4, 4, 5, 2, 3, 4, 3, 4, 4, 5, 5, 2, 3, 2, 4, 5, 3, 3, 4, 3, 2, 2, 2, 2, 4, 3, 3, 3 Grouping the data will help us to analyse it more efficiently …

  10. Bob’s Driving School 40 121 The Mean is 121÷ 40 = 3.0 (1dp) We can now find the mean

  11. Bob’s Driving School Students who learn to drive with Bob’s Driving School, pass their driving test after a mean number of 3.0 tests.

  12. Which Driving School? Which of the two driving schools would you choose?

  13. Mean = 2.9 Range = 6 Mean = 3.0 Range = 4

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