Averages from data sets – calculator allowed
Find the mean, median, mode and range of each of the following data sets
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Problem 1: By finding the mean of the following test scores, evaluate which student you think is better at the subject:
Person A: 77, 65, 43, 88, 72
Person B: 80, 81, 82, 41, 17
Person C: 3, 5, 35, 99, 82
Explain carefully how conclusive you think your evaluation is
Problem 2: By finding the mean and the range of the following times to run a particular distance, explain carefully which you would choose to represent the school in a running competition
Person A: 12.3, 13.4, 11.1, 15.2, 12.9, 13.2, 15.6
Person B: 13.2, 12.9
Person C: 15.1, 13.1. 10.9, 17.1, 11.2, 12.9, 15.3
Person D: 12.2, 13.1, 14.2, 13.1, 12.9, 20.1, 20.2, 11.1
Now find the median time for each person above and see if this provides extra support for your conclusion or whether you now think you should pick a different person
Problem 3: missing numbers
What number would you need to add to 4, 6, 6 and 3 to make a mean of 4?
What number would you need to add to 4, 5, 8, 2, 20 to make a mean of 6?
Can you think of three numbers which have a mode of 3 and a mean of 4?
Is it possible to have two numbers with a median of 4 and a range of 3?
How many sets of 4 numbers can you think of which have a mean of 4?
Is it possible to have three numbers with a range of 2, and mode of 3 and a mean of 4?
Can you think of four different numbers which have a range of 8 and a mean of 0?