The numbers of packages delivered by a courier on seven consecutive days are listed below:… — GMAT

The numbers of packages delivered by a courier on seven consecutive days are listed below:

5, 13, 2, 10, 15, 7, 4

What is the median number of packages delivered per day over this seven-day period?

The median number of packages delivered per day is

7

To find the median of a dataset, the values must first be arranged in ascending order:

2, 4, 5, 7, 10, 13, 15

. Since there are

7

numbers, the median is the

4

th number in the ordered list, which is

7

Arrange the data values in ascending order.

The ordered set is

2, 4, 5, 7, 10, 13, 15

Finding the median requires ordering the data sequentially first.

Identify the middle term of the ordered set containing

7

values.

The middle term is the

\frac{7+1}{2} = 4

th value, which is

7

For an odd number of data points

N

, the median is the

\frac{N+1}{2}

th element.

Median of a finite data set

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