Question

A manufacturer of electronic components is interested in determining the lifetime of a certain type of battery. A sample, in hours of life, is as follows: 123,116,122,110,175,126,125,111,118,117. a. Find the sample mean and median. b. What feature in this data set is responsible for the substantial difference between the two?

Answer 1

(a.)

Mean= sum / n

Mean= (123+116+122+110+175+126+125+111+118+117) / 10

Mean=1243 / 10

Mean= 124.3

Median:

Rearranged the data in order first

110,111,116,117,118,122,123,125,126,175

118 and 122 are at the middle

Median=1/2(n1 + n2)

Median=1/2(118+122)

Median=240/2

Median= 120

(b) 175 is the larger than the others value and larger than the mean, so it is the substantial difference between the mean and the highest value (175).