Question

If x = 45 has a percentile rank of 75%, which of the following is true? a) The data is positively skewed b) The data is normally distributed c) 75% of the data is less than 45 d) 75% of the data is greater than 45

Answer 1

The correct answer is: c) 75% of the data is less than 45

Explanation:

x = 45 has a percentile rank of 75%, Percentile rank represents the percentage of data points that fall below a given value. In this case, 75% of the data falls below the value of 45. This means that 45 is greater than 75% of the data points. Options a) and b) can be ruled out because the given information does not provide any indication about the skewness or distribution of the data. Option d) is incorrect because the percentile rank of 75% indicates that 75% of the data is less than the given value (in this case, 45), not greater.