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Time 13.5 Time 16 Time 12.6 Time 15.2 Time 12.8 Time 11.8 Time 17.2 Time 12.1. what is the difference between Sarah's time and the mean time of the runners. I know that you divide eight by the sum when you add up all the numbers together from smallest to largest and could you answer this for me l really don't in a word problem when to multiply, add, divide,or, subtract could you ex plain or tell what the key words are that let a student know to add, multiply ,divide, subtract the key words please.

Sagot :

The mean of a data set is equal to the addition of the values of the data divided by the total number of values in the set.

In our problem:

[tex]\begin{gathered} \operatorname{mean}=\frac{13.5+16+12.6+15.2+12.8+11.8+17.2+12.1}{8}=\frac{111.2}{8} \\ \Rightarrow\operatorname{mean}=13.9 \end{gathered}[/tex]

Although you already calculated that, as I understand from what you wrote in the question tab.

The median of a data set can be found by ordering the values in the data set from least to greatest and then taking the middle value. In our problem:

[tex]\begin{gathered} 11.8,12.1,12.6,12.8,13.5,15.2,16,17.2 \\ \Rightarrow\operatorname{median}=\frac{12.8+13.5}{2}=13.15 \\ \Rightarrow\operatorname{median}=13.15 \end{gathered}[/tex]

How to divide 111.2 by 8:

The difference between Sarah's time and the mean time of the runners is:

[tex]\operatorname{mean}-\text{Sarah}=13.9-12.1=1.8[/tex]

The answer we are looking for is 1.8

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