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Nine friends decided to take a challengeduring a weekto see who can run the longest distance, every day they run as much as they can

Nine friends decided to take a challengeduring a weekto see who can run the longest distance, every day they run as much as they can during a week (five working days) and each of them recorded how many kilometres they run per day.

At the end of the week, they presented the total kilometresrun during the week. The result is given bellow:

15, 20, 12, 18, 15, 20, 25, 23, 21

1. What is the sample mean? A 18.78 B 15 C 20 D 13.89
2. What is the median? A 18 B 20 C 15 D 19
3. What is the sample standard deviation? A 3.02 B 4.25 C 5.20 D 4.17

Question 4 - 5 (1 + 1 = 2 marks)

The owner of a large company has asked you about the distribution of the ages of the 1000 employees specifically the mean age and the standard deviation of the ages. To answer the owner's questions, you have taken a sample of 100 employees and have constructed the following distribution table

Age No. of Employees
20 up to 30 17
30 up to 40 20
40 up to 50 25
50 up to 60 20
60 up to 70 18

4. What is the sample mean? A 42.9 B 45.2 C 45.7 D 42.0
5. What is the sample standard deviation? A 13.5 B 3902.2 C 13.48 D 3863.2

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