Question

In ten trips to Las Vegas, a person had the following net gains:

$2052 $3538 $4981 $6887 $3208
$2052 $6986 $7492 $6768 $4511

Find the median net gain.

O $4847.50
O $4746.00
O $5345.83
O $2052.00

Answer 1

The median net gain is calculated by ordering the net gains from ten trips to Las Vegas and finding the average of the 5th and 6th values in the ordered list. Upon correcting an initial mistake in ordering, the correct median is found to be $4746.00. Considering as a, b, c and d, option number b is correct.

Step-by-step explanation:

To find the median net gain from ten trips to Las Vegas, we need to first list the net gains in ascending order:

• $2052
• $3208
• $3538
• $4511
• $4981
• $6768
• $6887
• $6986
• $7492
• $2052

Since there are ten values, the median will be the average of the 5th and 6th values after sorting them. The 5th and 6th values in the ordered list are $4981 and $6768, respectively. To find the median, we add these two numbers and divide by 2:

Median = ($4981 + $6768) / 2

Median = $11749 / 2

Median = $5874.50

This value is not listed in the options provided, so we must have made a mistake in our steps. Let's go back and carefully re-order the net gains:

• $2052
• $2052
• $3208
• $3538
• $4511
• $4981
• $6768
• $6887
• $6986
• $7492

Now we take the 5th and 6th value again which are now $4511 and $4981. We calculate the median again:

Median = ($4511 + $4981) / 2

Median = $9492 / 2

Median = $4746.00