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

Answer:The value of the standard deviation is approximately 3.6.

Step-by-step explanation:

Referring to the Range Rule of Thumb: The estimate for the range is roughly four times the standard deviation.

In this case,     (i)

The record speeds for the fastest 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, the lowest speed = 175.8 and the highest speed = 189.2

Range = highest speed - lowest speed

In other words, R = 189.2-175.8 =13.4

From (i),

Thus, the standard deviation is roughly 3.6.