Question

1)prof greentens graded the finite math exams from both of his sections and found that they had the exact same mean: 78.5. however, section U03 had a standard deviation of 1.5 while sections u11 had a satndard deviation of 4.7. what conclusions can you draw about the test score of both sections? explain your reasoning.

2)tom and jerry are arguing over the odds of rolling an even number when rolling a single die. tom insists that the odd are 1/1 and jery insistis that the odds are 1/2. which one of them is correct? explain your answer.

3)an experiment is conducted for which the sample space is S=(1,2,3,4). explain in your own words why the chart bbelow cannot be a valid probability distribution table and the experiment.

OUTCOMES 1 2 3 4

PROBABILIT 0.5 0.25 0.25 0.5

Answer 1

1) We can draw the conclusion that the variation in finite math exams grade of section U03 is low as compared to the variation in the grades of section U11 because the standard deviation is a measure of variation. Individually, it can be said that in section U03 the grades of students are 1.5 far from the mean on average, and in section U11 the grades of students are 4.7 far from the mean on average.

2) Tom is correct because there is an equal number of even and odds in a single die.

3) The given chart with outcomes and probabilities cannot be a probability distribution because the sum of probabilities is greater than 1 as 0.5 + 0.25 + 0.25 + 0.50 = 1.5.

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