Question

A class of 15 students had a spelling test condsisteting of ten words. the number of spelling mistakes made by each student is listed in the data below.

1, 2 ,1 ,0 ,3 ,1 ,2 ,3 ,1 ,2 ,0 ,4 ,2 ,3, x
A: If there are 2 modes, what are the possible values of x?
B: If there is exactly one mode, write a possible value for x, and the mode.

Answer 1

Explanation:

A: If there are 2 modes, x can be either 1 or 2.

B: To find the mode of the data set, we need to count how many times each number appears.

- 0 appears 2 times

- 1 appears 4 times

- 2 appears 4 times

- 3 appears 3 times

- 4 appears 1 time

Since both 1 and 2 appear 4 times in the data set, there are two modes.

For x, if we add it to the data set, then the mode must be x plus either 1 or 2.

If we choose x to be 2, then the mode would be 2, since 1 and 2 each appear 4 times, and adding another 2 would make it the mode.

So a possible value for x could be 2, and the mode would be 2.