When results from a scholastic assessment test are sent to test-takers, the percentiles associated with their scores are also given. Suppose a test-taker scored at the 78th percentile for their verbal grade and at the 34th percentile for their quantitative grade. Interpret these results:
A) This student performed better than 22% of the other test-takers in the verbal part and better than 66% in the quantitative part.
B) This student performed better than 78% of the other test-takers in the verbal part and better than 34% in the quantitative part.
C) This student performed better than 22% of the other test-takers in the verbal part and better than 34% in the quantitative part.
D) This student performed better than 78% of the other test-takers in the verbal part and better than 66% in the quantitative part.
27) Quantitative variables classify individuals in a sample according to
A) physical attribute.
B) exhibited trait.
C) numerical measure.
D) personality characteristic.
28) A study was designed to investigate the effects of two variables - (1) a student's level of mathematical anxiety and (2) teaching method - on a student's achievement in a mathematics course. Students who had a low level of mathematical anxiety were taught using the traditional expository method. These students obtained a mean score of 290 with a standard deviation of 50 on a standardized test. Assuming no information concerning the shape of the distribution is known, what percentage of the students scored between 190 and 390?
A) at least 88.9%
B) at least 75%
C) approximately 95%
D) approximately 68%
Find the mode(s) for the given sample data.
29) Last year, nine employees of an electronics company retired. Their ages at retirement are listed below.
51 61 62 57 50 67 68 58 53
A) 58.6 yr
B) 51 yr, 61 yr, 62 yr, 57 yr, 50 yr, 67 yr, 68 yr, 58 yr, 53 yr
C) 58 yr
D) no mode
Solve the problem.
30) The ages of the members of a gym have a mean of 44 years and a standard deviation of 12 years. What can you conclude from Chebyshev's theorem about the percentage of gym members aged between 26 and 62?
A) The percentage is approximately 33.3%
B) The percentage is at least 33.3%
C) The percentage is at most 55.6%
D) The percentage is at least 55.6%
31) If the standard deviation of a set of data is zero, what can you conclude about the set of values?
A) The sum of the values is zero.
B) The sum of the deviations from the mean is zero.
C) All values are equal to zero.
D) All values are identical.