Pulangbato High School is looking for a Mathematics’ Quiz contestant. James and Derek are both excelling in this subject. They are given four sets of 30 item test. James’ scores are 27, 25, 26 and 26 while Derek’s scores are 29, 22, 25 and 24. Answer the following questions:
1. What is the average score of James?
2. What is the average score of Derek?
3. Who will be the final Mathematics’ Quiz contestant between the two.
Answers
Given, James and Derek have four sets of 30 item test. James' scores are 27, 25, 26, and 26 while Derek's scores are 29, 22, 25, and 24.
- We know that, to find the average score, we've to divide the sum of the observations by the number of the observations.
1. Sum of James' observations = 27 + 25 + 26 + 26 = 104
No. of James' observations = 4
So, according to the above statement,
The average score of James = 104/4 = 26
2. Sum of Derek's observations = 29 + 22 + 25 + 24 = 100
No. of Derek's observations = 4
So, according to the above statement,
The average score of Derek = 100/4 = 25
3. James will be the final Mathematics' Quiz contestant because his score is higher than Derek's score i.e. James' score is 104 while Derek's score is 100.
Answer:
Given, James and Derek have four sets of 30 item test. James' scores are 27, 25, 26, and 26 while Derek's scores are 29, 22, 25, and 24.
We know that, to find the average score, we've to divide the sum of the observations by the number of the observations.
1. Sum of James' observations = 27 + 25 + 26 + 26 = 104
No. of James' observations = 4
So, according to the above statement,
The average score of James = 104/4 = 26
2. Sum of Derek's observations = 29 + 22 + 25 + 24 = 100
No. of Derek's observations = 4
So, according to the above statement,
The average score of Derek = 100/4 = 25
3. James will be the final Mathematics' Quiz contestant because his score is higher than Derek's score i.e. James' score is 104 while Derek's score is 100.
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