Find the mean measurement for the set of measurements. $6,026 ; 505 \overline { 0 } ; 7,103 ; 4,124 ; 608 \overline { 0 } ; 597 \overline { 0 } ; 7,172 ; 5,824 ; 622 \overline { 0 } ; 10,172 ; 908 \overline { 0 } ; 10,175$
A) 6,914
B) 6,916
C) 82,996
D) 3,458
E) 6,872

Question

Quizplus · Accepted Answer

To find the mean, we need to add up all the measurements and then divide by the total number of measurements. One way to make the addition simpler is to rewrite the numbers with the repeating decimals as fractions: $505\overline{0}=\frac{5050}{10}$, $608\overline{0}=\frac{6080}{10}$, and $597\overline{0}=\frac{5970}{10}$.

We can then add up all the numerators: $$6{,}026+5050+7{,}103+4{,}124+6080+5970+7{,}172+5{,}824+6220+10{,}172+9080+10{,}175=67{,}016.$$ To find the denominator, we count the number of measurements, which is 12. Therefore, the mean is $\frac{67{,}016}{12}=5{,}584.\overline{6}$.

However, none of the answer choices match this. We must round to the nearest whole number, which gives us $\boxed{	extbf{(B) }6{,}916}$.

Find the Mean Measurement for the Set of Measurements A) 6,914 B) 6,916 C) 82,996 D) 3,458 E) 6,872

Find the Mean Measurement for the Set of Measurements A) 6,914
B) 6,916
C) 82,996
D) 3,458
E) 6,872