Exam results were correct, that is why failures are complaining

Friday January 12 2018

KCSE EXAM

St Peter's Mumias Boys High School students carry on with their KCSE exam on November 7, 2016. PHOTO | ISAAC WALE | NATION MEDIA GROUP 

By MUTUMA MATHIU
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Nothing in this universe is truly random. If you look at it from above, below, sideways and inside out, a pattern will begin to emerge.

There is a predictable description for a lot of the stuff even in the social world.

For example, if you step outside with a tape measure and you take the height of 100,000 people and plot the height scores on the x axis and your subjects on the y axis, you will discover that 68 per cent of them are of average height (34 per cent slightly below average and 34 per cent slightly above average), 13 per cent will be tall, 2.1 per cent will be remarkably tall and 0.1 per cent will be way too tall.

In the other direction, 13 per cent will be short, 2.1 per cent will be very short but only 0.1 per cent will be laptop-sized.

This is because height, just like IQ test scores and examination results, follow a statistical rule called normal distribution or the bell curve.

I went back to read up on this and it is amazing how much of the awful stuff from nightmarish statistics units I have forgotten.

STANDARD DEVIATION

Student’s t-test? What the hell is all that? However, something useful stuck in some unused corner of my mind (there could be several of those). I recalled that the scores of the majority of students who sit an exam should be one standard deviation from the mean.

Draw a long line on the ground and call it Y, mark its beginning on the left F and its end on the right A. At F, draw a vertical line and call it X. So that we aren’t here till tomorrow, forget X.

Next, draw an inverted bell on Y, ensuring that it has a long tail tending towards F, but never touching Y and tending by the same distance towards A. Draw a line from the mid-point of the bell’s hump to intersect Y at the dead centre between F and A. Call the point of intersection C. That line is your mean.

Starting from C, take one step towards A and mark that point C1. Go back to C and towards F, take a similar step and mark it C2. Think of that step as one standard deviation from C, our mean.

The rule is that 68 per cent of students who take a test will have scores one standard deviation from the mean, that acreage between C1 and C2.

INTELLIGENCE

I am determined not to get lost in this but suffice it to say that, in measures of intelligence, the majority must get an average score. Similarly, in an exam, all factors being constant, a majority of the students should get a good, average mark, a few bright ones will get As, a few exceptional ones will dance for the cameras and a few challenged ones will not get much.

The reason I have gone to the trouble of digging up these arcane and uninteresting things is so as to address this madness about national exams.

We have had exams where a school with 205 students would do so well that 200 students got an A and the other five scored good Bs. This is a cruel hoax and we should be very ashamed, including those of us in the media, for not vigorously questioning it.

Either that school has divined a method of selectively sampling geniuses to join it or those children did not sit an exam as we understand it. Or their scores were fake.

We are so corrupt as a people that otherwise respectable headmasters, supported by bad parents with the moral support of daft leaders, have bribed exam officials to lie to our children that they scored an A when, in actual fact, they got a C.

CHEAT A CHILD

Speaking as a parent, it is a cruel exercise in futility to cheat a child that they have done well when they haven’t, to lie to them that they have abilities which they don’t possess or that they are gifted when they aren’t. It is like sending your child to war with blank cartridges.

Because we have bought marks for our children, we have a generation of doctors who are slaughtering patients — because they should never been allowed within a mile of med school — engineers who can’t design anything to save their lives and hundreds of frustrated students struggling through courses that they shouldn’t have taken.

And because we have become entitled to unfair advantage — we have money we didn’t earn and live lifestyles we don’t deserve — we call press conferences to complain about “mass failure” when, for the first time, children are given the marks that they fairly scored.

CARTELS

The exams this season were fair. We did not have tens of thousands of As; neither should we. Those who set, supervised and marked them, as well as the leaders overseeing the various agencies and ministries, did a fantastic job, in my opinion.

The exam cheating cartels, which had become a multi-million-shilling business, must never, ever be allowed back.

Let us obey the empirical rule.