[Video] Q25: Two independent surveys asked random samples of 500 people about the distances they commute to work each day. the results of the surveys are detailed in the table below. which statement is true based on the results of these surveys?

Explanation for Question 25 From the Math (Calc) Section on the 2019 April Sat

And 25, we were given the results from this survey here, 2 and we were looking for the true statement. 3 So if we start looking at the choices, they all are about 4 variation of the data. So that is what we are going to pay attention 5 to. So if you think about what these words mean in statistics, 6 a mean is the average and then standard deviation tells you how 7 far data falls from the main on average, 8 either below or above. So it's the average distance from the mean? 9 That means it tells you how much it varies from the main. 10 So when talking about variation, 11 we are talking about standard deviation. 12 So now, if we look at the two values of standard deviation for surveys, 13 a N B they're both equal to 1.5. 14 So that means the data in both surveys is an 15 average of 1.5 miles away from the mean, 16 so the variation is going to be the same, 17 even though the means are different. So the answer is C.