3 years ago

Does any body know this plss help

Mathematics

1 answer:

maw [93]3 years ago

6 0

Answer:

the answer is a flat land area

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Which set of four test scores would have the biggest difference between the mean and the median? A. 32, 85, 89, 91, 92, 92 B. 72

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Answer:

A. 32, 85, 89, 91, 92, 92

Step-by-step explanation:

A. 32, 85, 89, 91, 92, 92

Mean

$\bar{x}=\dfrac{32+85+89+91+92+92}{6}\\\Rightarrow \bar{x}=80.167$

Since the number of scores is 6 which is an even number the median will be of the form $\dfrac{x_{n/2}+x_{(n/2)+1}}{2}$

Median

$\dfrac{89+91}{2}=90$

Difference of mean and median = $|80.167-90|=9.83$

B. 72, 78, 79, 80, 82, 82

Mean

$\bar{x}=\dfrac{72+78+79+80+82+82}{6}\\\Rightarrow \bar{x}=78.83$

Median

$\dfrac{79+80}{2}=79.5$

Difference of mean and median = $|78.83-79.5|=0.67$

C. 65, 70, 75, 80, 85, 90

Mean

$\bar{x}=\dfrac{65+70+75+80+85+90}{6}\\\Rightarrow \bar{x}=77.5$

Median

$\dfrac{75+80}{2}=77.5$

Difference of mean and median = $|77.5-77.5|=0$

D. 30, 34, 39, 41, 48, 50

$\bar{x}=\dfrac{30+34+39+41+48+50}{6}\\\Rightarrow \bar{x}=40.33$

Median

$\dfrac{39+41}{2}=40$

Difference of mean and median = $|40.33-40|=0.33$

So, A has the maximum difference of 9.83 between the mean and the median.

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