Answer to Question #180532 in Statistics and Probability for Muhammad Huzaifa Tauqeer

Question

Imagine that 11 people take a 10 question test. Suppose one student gets 10 correct answers, one gets

9 correct, one gets 8 correct, and so on, all the way down to the student getting none correct. What is

the mode score, accurate to three decimal places?

Answer 1

We need to find the mode, if 11 people take a 10-question test and one student gets 10 correct answers, one gets 9 correct, one get 8 correct, and so on, all the way down to student getting 0 correct.

We know that mode for a discrete variable is the value that occurs the most often.

In the case given in the problem every student got each of the 11 possible correct answers from 0 to 10.

Thus, the distribution is perfectly flat.

Therefore, there is no mode.