Question

The national average for the math portion of the College Board’s SAT is 513 with a standard deviation of 84. The median is 513.

The SAT math score data has a _____ distribution because the mean is _______the median. Therefore, the ______ rule predicts that ____of this data should lie between 429 and 597 because these points are +/-______ standard deviation(s) away from the mean.

Answer 1

Solution :

Given that ,

mean = = 513

standard deviation = = 84

median = 513

The SAT math score data has a normal distribution because the mean is equal to the median.

(429 - 513) / 84 = -84 / 84 = -1

(597 - 513) / 84 = 84 / 84 = 1

Therefore, the Empirical rule predicts that 68% of this data should lie between 429 and 597 because

these points are +/-1 standard deviation(s) away from the mean