Daniel looks at the prices of 5 guitars. The prices are $137, $159, $127, $188 and $680. These prices contain one extreme value ($680). Which measure of center should Daniel use to describe the prices?

A. Median

B. Range

C. Mean

D. Mean absolute deviation

A. Median

Step-by-step explanation:

Mean and median both are used to measure the central tendency of a given data while range gives us the spread of the data roughly.

Mean is even affected by a single extreme value in the data while median gives us the central value of data even when there are extreme values.

The given set of five prices has one extreme value which will affect the mean. While median is a better option to measure the central tendency of data.

So Daniel will use median to measure the central tendency to describe the prices ...

D. Mean absolute deviation

Step-by-step explanation:

Median gives us : 159

Range gives us: 680 - 127 = 553

mean gives us:

127+137+159+188+680 = 1291

1291 / 5

= 258.2

MAD gives us the mean deviation (avg change from the mean):

mean

= 258.2

258.2 - 127 = 131.2

258.2 - 137 = 121.2

258.2 - 159 = 99.2

258.2 - 188 = 70.2

680 - 258.2

=421.8

Find the mean of the variances:

70.2+99.2+121.2+131.2+421.8 = 843.6

843.6 / 5

= 168.72

Mad = 258.2 + - 168.72