The list below shows the number of packages delivered to a local business on each of 8 bus… — SAT

The list below shows the number of packages delivered to a local business on each of $8$ business days:

1, 2, 2, 3, 5, 6, 7, 10

What is the median number of packages delivered on these days?

The correct answer is the median value of

4

. The list contains

8

values already sorted in ascending order:

1, 2, 2, 3, 5, 6, 7, 10

. Because the number of values is even, the median is the average of the two middle values (the

4

th and

5

th values, which are

3

and

5

). The average is calculated as

\frac{3 + 5}{2} = 4

Identify the two middle terms of the ordered dataset.

The two middle values in the ordered list of 8 numbers are the 4th term, which is

3

, and the 5th term, which is

5

Since the dataset has an even number of values (

8

), the median is the average of the two middle terms.

Calculate the average of the two middle terms.

\frac{3 + 5}{2} = \frac{8}{2} = 4

Finding the mean of these two middle values yields the median of the entire dataset.

Calculating the median of a dataset with an even number of values

Estimated Time:45s

Question