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).

Answer 2

The sample mean and no median of the datasets is 124.3 and 120 respectively

How to find mean and median

Given:

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

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

= 1243/10

= 124.3

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

= (118 + 122) / 2

= 120

The data set which is responsible for the substantial difference between the mean and the median is 175

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