Question

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

Answer 1

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

Answer 2

Answer:The standard deviation is about 3.6.

Step-by-step explanation:

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

i.e.  $R\approx4\sigma\Rightarrow\ \sigma\approx\dfrac{R}{4}$   (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),

$\sigma\approx\dfrac{13.4}{4}\\\\\Rightarrow\sigma\approx3.6$

Hence, the standard deviation is about 3.6.