Determine-the-mean-median-mode-and-range-for-the-grade-distribution-statistics-homework-help

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I.See attached chart

1. Determine the mean, median, mode, and range for the grade distribution of the Physics Test.

Mean:

Median:

Mode:

Range:

2. Determine the 5-Number summary and make a box-and-whiskers plot for the data. Include

the box-and-whiskers plot in your response.

3. What does the box-and-whiskers plot tell you about the shape of the distribution?

4. If John was the student who made a 71 on the test, which percentile did John score in?

5. Based on the interquartile range (IQR), does Professor Miller’s data set have any outliers? If

so, what is the outlier and why? Support your answer with your calculations.

6. Determine the variance and standard deviation of the data set.

7. Compare the mean and standard deviation of Professor Miller’s results on the 1st Physics test

to that of Professor Williams’, assuming that Professor Williams’ test had a mean of 84 and a

standard deviation of 5.6.

II.

Read the following scenario and complete each of the four problem sets below:

Suppose we have a special deck of ten cards that have the following designs:

ï‚· The number 0 and a red square

ï‚· The number 1 and a blue square

ï‚· The number 2 and a green square

ï‚· The number 3 and a red circle

ï‚· The number 4 and a blue circle

ï‚· The number 5 and a green circle

ï‚· The number 6 and a yellow circle

ï‚· The number 7 and a blue triangle

ï‚· The number 8 and a green triangle

ï‚· The number 9 and a black star

1. Using the 10 card deck, how many sets of 3 can be made if the order of the cards

does NOT matter? How many sets of 3 cards can be made if order does matter?

Explain the difference between these two questions.

<Compose answer here>

2. Suppose 2 cards are selected without replacement:

a. What is the probability of drawing a card with a different color if the first card is

the black star?

b. What is the probability of drawing a card with a different shape if the first card is

the green square?

c. What is the probability of drawing 2 blue cards?

d. What is the probability of drawing 2 circle cards?

e. What is the probability of drawing 2 blue cards OR 2 circle cards?

f. What is the probability of drawing 2 blue cards AND 2 circle cards?

a.

b.

c.

d.

e.

f.

3. Suppose 2 cards are selected with replacement:

a. What is the probability of drawing a card with a different color if the first card is

the black star?

b. What is the probability of drawing a card with a different design if the first card is

the green square?

c. What is the probability of drawing 2 blue cards?

d. What is the probability of drawing 2 circle cards?

e. What is the probability of drawing 2 blue cards OR 2 circle cards?

f. What is the probability of drawing 2 blue cards AND 2 circle cards?

a.

b.

c.

d.

e.

f.

4. How do the concepts of independent events and mutually exclusive events apply

to problems #2 and #3? Use specific examples from this exercise to explain your

answer.