Answer:
A) Estimated standard deviation = 148cm³
B) The estimated standard deviation of 148 cm³ is less than the true standard deviation of 183.2 cm³. This estimated standard deviation is not even within 15 cm³ of the true standard deviation and thus we can say it's not accurate.
Step-by-step explanation:
From the question, the given standard deviation is 183.2 cm³
Also that the range of values is between 902 cm³ to 1494 cm³.
Range is the difference between highest and lowest values in the data set.
Thus, Range = 1494 cm³ - 902 cm³ = 592 cm³
Now, The range rule tells us that the standard deviation of a sample is approximately equal to one-fourth of the range of the data. In other words s = (Maximum – Minimum)/4
Thus, estimated standard deviation = 592/4 = 148 cm³
