Question

The Mathematics test scores of 10 students are recorded as 8, 9, 10, 10, 3, 5, 7, 10, 6, and 1. (a) Find the mode; (b) If 2 students with the same test score of 8 are added what is/are the new mode(s)?​

Answer 1

Answer of (a) : 10

Explanation : because the observation '10' occurs maximum number of times

Answer of (b) : 10 and 8

Explanation : because the observations '10' and '8' occurs maximum number of time.

Answer 2

Answer:

a) The mode is $10$.

b) The modes are $8,10$.

Step-by-step explanation:

Given mathematics test scores of 10 students as $8,9,10,10,3,5,7,10,6,1$.

a) We need to find the value of mode for this data.

The mode is the value that appears most often in a set of data values.

Using the definition, we can see that the score $10$ is repeated three times which is the most.

So the mode of the data set is $10$.

b) Now two students with the test score of $8$ each are added in the data set.

The new data set is $8,9,10,10,3,5,7,10,6,1,8,8$.

Now both the scores $8$ and $10$ appear three times each.

So the data set have two modes.

The modes are $8,10$.