Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

Multiple Choice

Find the mean of the following set of numbers: 2, 4, 6, 8, 10.

To find the mean of a set of numbers, you first need to add all the numbers together and then divide the sum by the total number of values in the set. In this case, the numbers 2, 4, 6, 8, and 10 can be added as follows: 2 + 4 + 6 + 8 + 10 = 30. Next, since there are 5 numbers in this set, you divide the total sum by 5: 30 ÷ 5 = 6. This calculation shows that the mean of the set of numbers is 6, which corresponds to the answer provided. Understanding this process is essential in statistics, as the mean gives you a measure of the central tendency of the data set, indicating where most of the numbers are clustered. The other choices do not reflect this calculation, as they either underrepresent or overrepresent the average of the given numbers.

To find the mean of a set of numbers, you first need to add all the numbers together and then divide the sum by the total number of values in the set.

In this case, the numbers 2, 4, 6, 8, and 10 can be added as follows:

2 + 4 + 6 + 8 + 10 = 30.

Next, since there are 5 numbers in this set, you divide the total sum by 5:

30 ÷ 5 = 6.

This calculation shows that the mean of the set of numbers is 6, which corresponds to the answer provided. Understanding this process is essential in statistics, as the mean gives you a measure of the central tendency of the data set, indicating where most of the numbers are clustered.

The other choices do not reflect this calculation, as they either underrepresent or overrepresent the average of the given numbers.