Question

10 Kofi scored 45% in the first paper of his mathematics examination and scored x% in the second paper (where x is a whole number). He was given a grade C for the subject, which meant that the average of his marks on the two papers was greater than 48% but less than 52%. Find the possible values of x. [WAEC]​

Answer 1

The possible values of x are 51% < x < 59%.

When you are given various values, the range of those values is how big the difference is between the largest value and the smallest value. In other words, the range is what you get when you subtract the smallest value in the group from the largest value in the group.

Its possible values are 1, 2, 3, 4, 5, and 6; each of these possible values has a probability of 1/6. 4. The word “random” in the term “random variable” does not necessarily imply that the outcome is completely random in the sense that all values are equally likely.

Let K represent Kofi

1st paper = 45/100

2nd paper = x / 100

Mean score = ( 45 + x ) % / 2

The possible range of x = 48% < (45+X)/2 < 52%

Cross multiplying

96% < 45 + x < 104%

Subtract 45 from both sides

Range = 51% < x < 59%

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