Question

1. James and George took a math exam. George’s percentile score on the exam was 45; James’s percentile score was 90 on the same test. We know that
a) James correctly answered twice as many questions than George. b) They both scored better than 20 of their classmates. c) James correctly answered more questions than George. d) George did not pass the test.

2. Suppose you earned a raw score of 80 on a quiz. For which of the following conditions would your score indicate the best performance relative to the rest of the class?
a) sample mean = 81.50 and s = 2.31 b) sample mean = 81.75 and s = 1.65 c) sample mean = 82 and s = 2.35 d) sample mean = 80.5 and s = 1.95

3. In a set of data (10 different data values) if the lowest data value was replaced by 10 and the highest data value was replaced by 300, which of the following statements is NOT true?
a) The range would change. b) The standard deviation would change. c) The interquartile range would change. d) The variance would change.

4. The following statistics was gathered at a local Starbucks:
Variable N Minimum Q1 Median Q3 Maximum amount of money spent books 300
25.0 118.8 195.0 261.3 400.0
a) What type of data would you be collecting? (qualitative nominal, qualitative ordinal, quantitative discrete, quantitative continuous) Please give a reason for your answer in a complete sentence
b) Approximately how many people spent more than $118.80 on books?
c) Approximately how many people spent less than $195.00 on books?

5.If we were to create a histogram for this box plot would the shape be skewed to the left, skewed to the right, or a normal distribution? Please give a reason.

6. In a recent year, the mean ACT score was 20.5 and the standard deviation was 4.34. If a person received a score of 12.14, was their score significantly low? In a complete sentence please give a reason for your answer.

7. Blood samples were taken and analyzed. It was determined in this sample, males had red blood cell counts with a mean of 4.719 and a standard deviation of 0.490, while females had red cell counts with a mean of 4.349 and a standard deviation of 0.402. Who has the higher count relative to the sample from which it came, a male with a count of 5.58 or a female with a count of 5.23? Please show all your work and explain your answer in a complete sentence.

Answer 1

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3. In a set of data (10 different data values) if the lowest data value was replaced by 10 and the highest data value was replaced by 300, which of the following statements is NOT true?

a) The range would change - Possibly this will not change. If the lowest is replaced by a number less by 2, and the highest is also replaced by a number smaller by 2, then range remains same.

b) The standard deviation would change - yes, since loading from the center is essentially changing variation would change

c) The interquartile range would change - No , since min and max are being changed, Q3 and Q1 are uneffected and therefore Interquartile, which is just the difference between Q3 and Q1 , will not change

d) The variance would change.- Yes, this would ..same reasoning as change in standard deviation