3 Answers

The distribution of scores in a class test are as follows:

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The distribution of scores in a class test are as follows: 2, 8, 6, 5, 8, 6, 6, 5, 6, and 5. Find the product of the modal and the median score.

  • A. 48
  • B. 30
  • C. 36
  • D. 40

QUICK ANSWER…

C

SOLUTION 

The mode of a set of numbers, is the number that appears the most, while the median is the number that appears at the middle after rearranging from the least value to the highest value.

From the data given, mode = 6 because it appears four times.

Finding the median, we would have to rearrange as follows: 2, 5, 5, 5, 6, 6, 6, 6, 8, 8

There are ten numbers, no single number can be found in the middle, so the median will be the average of the two middle numbers which are 6, and 6

RELATED!  Find the median of 5, 9, 1, 10, 3, 8, 9, 2, 4, 5, 5, 5, 7, 3 and 6...

Median = (6 + 6)/2 = 12/2 = 6

So, the product of the mode and the median = 6 × 6 = 36

Now for the right answer to the above question:

  1. Option A is incorrect.
  2. Option B is incorrect.
  3. C is correct.
  4. D is not the correct answer.

KEY-POINTS…

You may please note these/this:

  • Product means multiplication.
  • If there are two numbers in the middle of a set of data, then the median is the average of these two numbers. That is, you should add the both of them and then divide the answer by two.

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/ culled from 2015 JAMB-UTME mathematics past question 41 /

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