Question

The brain volumes ​(cm cubed​) of 50 brains vary from a low of 904 cm cubed to a high of 1488 cm cubed. Use the range rule of thumb to estimate the standard deviation s and compare the result to the exact standard deviation of 175.5 cm cubed​, assuming the estimate is accurate if it is within 15 cm cubed

Answer 1

Answer:

standard  deviation is 146 cm

Computed value of standard deviation is not near to original value.

Step-by-step explanation:

Given data:

n is number of brains = 50

low volume  = 904 cm

high volume of brain = 1488 cm

As we know that range is 4 times the standard deviation so we have$Range = 4\times standard\ deviation$

R = HIGH -  LOW

  = 1488 - 904

  = 584

Therefore we have

standard deviation$= \frac{R}{4}$

                                $= \frac{584}{4}$

standard  deviation is 146 cm

Original deviation is given as 175.5 cm

Computed value of standard deviation is not near to original value.