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The race speeds for the top eight cars in a 200-mile race are listed below. Use the range rule of thumb

to estimate the standard deviation. Round results to the nearest tenth.
185.9 179.5 189.2 176.7 1758 188.7. 188.3 177.9

User Kung
by
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2 Answers

4 votes

Answer:13.4

Step-by-step explanation:idk what the range rule of thumb is but I just found the range. 189.2-175.8=13.4

User Goh
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4 votes

Answer:The standard deviation is about 3.6.

Explanation:

According to the Range Rule of Thumb : The range is about four times the standard deviation.

i.e.
R\approx4\sigma\Rightarrow\ \sigma\approx(R)/(4) (i)

Given , The race speeds for the top eight cars in a 200-mile race are :

185.9 179.5 189.2 176.7 175.8 188.7. 188.3 177.9

Here , minimum speed = 175.8 and maximum speed = 189.2

Range = maximum speed - minimum speed

i.e. R = 189.2-175.8 =13.4

from (i),


\sigma\approx(13.4)/(4)\\\\\Rightarrow\sigma\approx3.6

Hence, the standard deviation is about 3.6.

User Fred Collins
by
8.6k points

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