Question

The fuel efficiency, in miles per gallon, of 12 small utility trucks was measured are recorded as follows:

.........	.........	.........	.........	...... ...	..... ....	.........	.........	..... ....	.........	.........	.........
21	26	23	26	15	24	23	32	23	21	25	22

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For this sample, calculate the following measures:

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Sum of All Data Values    

Sum of All Deviations    

Sum of All Squared Deviations     Round to the nearest hundredth

Answer 1

Solution:

Sum of all data values = (21+26+23+26+15+24+23+32+23+21+25+22) = 281

Mean values = (281/12) = 23.42

Sum of deviations = (21-23.42)+(26-23.42)+(23-23.42)+(26-23.42)+(15-23.42)+(24-23.42)+(23-23.42)+(32-23.42)+(23-23.42)+(21-23.42)+(25-23.42)+(22-23.42) = -2.42 + 2.58 -0.42 +2.58 - 8.42 +0.58 -0.42 +8.58-0.42-2.42+1.58-1.42 = -0.04

Sum of all squared deviation = (-2.42)^2+(2.58)^2+(-0.42)^2+(2.58)^2+(-8.42)^2+(0.58)^2+(-0.42)^2+(8.58)^2+(-0.42)^2+(-2.42)^2+(1.58)^2+(-1.42)^2 = 174.92