Normal distribution help


The actual answer is C but focusing on the fact that A is only “less than” while B is “greater than or equal to”, the answer becomes D.

Even if we go plainly by using Math, just the meaning of the word percentile will help you out.

Since Jane score 68th percentile - 2 conclusions

  1. out of 100, 68 students scored less than her
  2. 32 students scored equal to or greater than her

Now similarly you can conclude that John received a score in the 32nd percentile so
32 people scored less than him.

Lastly, the options ask you to compare the proportion for the number of people who scored less than John and the number of people who scored equal to or greater than Jane which is:

Conclusion 2 from Jane’s part and conclusion from John’s part which is nothing but 32.