Question

In a random sample of SAT scores in mathematics, it is known that the maximum score is 740 and the minimum score is 350. Estimate the standard deviation of this random sample of SAT mathematics.

a) 195

b) 210

c) 185

d) 225

Answer 1

The estimated standard deviation of the random sample of SAT mathematics is approximately 97.5.

Step-by-step explanation:

The standard deviation is a measure of the amount of variation or dispersion in a set of values. It quantifies how much individual values in a data set differ from the mean (average) of the set. In statistics, a lower standard deviation indicates that the data points tend to be close to the mean, while a higher standard deviation indicates that the data points are spread out over a wider range of values.

To estimate the standard deviation of a sample of SAT scores, we use the formula:

Standard Deviation = (Maximum Score - Minimum Score) / 4

Using this formula, we can calculate the standard deviation as follows:

Standard Deviation = (740 - 350) / 4 = 390 / 4 = 97.5

Therefore, the estimated standard deviation of this random sample of SAT mathematics is approximately 97.5.