For Items #1 through #6, select the best descriptions of the shape...

For Items #1 through #6, select the best descriptions of the shape of each distribution from among the following list. If essentially synonymous terms apply, be sure to select both, not just one. And yes, more than one shape might apply to the data as represented in the five-number summaries shown, but please select the best choice(s).

            Response a) Bimodal

            Response b) J-Shaped

            Response c) Negatively Skewed

Response d) Positively Skewed

Response e) Rectangular

            Response f) Skewed Left

            Response g) Skewed Right

            Response h) Symmetric

            Response i) Triangular

            Response j) Uniform

Question 1) Item #1:  What shape best describes the data collections represented by the following five-number summary:

40  45  65  90  95

[COMMENTS & HINTS: Recall that the five-number summary breaks the collection up into segments, each containing 25% of the data. Think about how wide each segment is. Allow that fact to assist you.]

OPTIONS:

a.Response a) Bimodal

b.Response b) J-Shaped

c.Response c) Negatively Skewed

d.Response d) Positively Skewed

e.Response e) Rectangular

f.Response f) Skewed Left

g.Response g) Skewed Right

h.Response h) Symmetric

i.Response i) Triangular

j.Response j) Uniform

Question 2) Item #2:  What shape best describes the data collections represented by the following five-number summary:

8  18  23  38  73

[COMMENTS & HINTS: Recall that the five-number summary breaks the collection up into segments, each containing 25% of the data. Think about how wide each segment is. Allow that fact to assist you.]

OPTIONS:

a.Response a) Bimodal

b.Response b) J-Shaped

c.Response c) Negatively Skewed

d.Response d) Positively Skewed

e.Response e) Rectangular

f.Response f) Skewed Left

g.Response g) Skewed Right

h.Response h) Symmetric

i.Response i) Triangular

j.Response j) Uniform

Question 3) Item #3:  What shape best describes the data collections represented by the following five-number summary:

25  35  55  85  125

[COMMENTS & HINTS: Recall that the five-number summary breaks the collection up into segments, each containing 25% of the data. Think about how wide each segment is. Allow that fact to assist you.]

OPTIONS:

a.Response a) Bimodal

b.Response b) J-Shaped

c.Response c) Negatively Skewed

d.Response d) Positively Skewed

e.Response e) Rectangular

f.Response f) Skewed Left

g.Response g) Skewed Right

h.Response h) Symmetric

i.Response i) Triangular

j.Response j) Uniform

Question 4) Item #4:  What shape best describes the data collections represented by the following five-number summary:

30  50  60  70  90

[COMMENTS & HINTS: Recall that the five-number summary breaks the collection up into segments, each containing 25% of the data. Think about how wide each segment is. Allow that fact to assist you.]

OPTIONS:

a.Response a) Bimodal

b.Response b) J-Shaped

c.Response c) Negatively Skewed

d.Response d) Positively Skewed

e.Response e) Rectangular

f.Response f) Skewed Left

g.Response g) Skewed Right

h.Response h) Symmetric

i.Response i) Triangular

j.Response j) Uniform

Question 5) Item #5:  What shape best describes the data collections represented by the following five-number summary:

12  24  36  48  60

[COMMENTS & HINTS: Recall that the five-number summary breaks the collection up into segments, each containing 25% of the data. Think about how wide each segment is. Allow that fact to assist you.]

OPTIONS:

a.Response a) Bimodal

b.Response b) J-Shaped

c.Response c) Negatively Skewed

d.Response d) Positively Skewed

e.Response e) Rectangular

f.Response f) Skewed Left

g.Response g) Skewed Right

h.Response h) Symmetric

i.Response i) Triangular

j.Response j) Uniform

Question 6) Item #6:  What shape best describes the data collections represented by the following five-number summary:

6  46  66  76  96

[COMMENTS & HINTS: Recall that the five-number summary breaks the collection up into segments, each containing 25% of the data. Think about how wide each segment is. Allow that fact to assist you.]

OPTIONS:

a.Response a) Bimodal

b.Response b) J-Shaped

c.Response c) Negatively Skewed

d.Response d) Positively Skewed

e.Response e) Rectangular

f.Response f) Skewed Left

g.Response g) Skewed Right

h.Response h) Symmetric

i.Response i) Triangular

j.Response j) Uniform

Question 7) For Items #7 through #9, consider the fences and any outliers they would identify for an unknown data collection summarized by the following five-number summary:

100  140  150  160  200.

Use the following standard formulas for fences: the lower fence is located at Q₁ minus 1.5 x IQR, and

the upper fence is located at Q₃ plus 1.5 x IQR.

Item #7:       Determine the lower fence.?

Question 8) For Items #7 through #9, consider the fences and any outliers they would identify for an unknown data collection summarized by the following five-number summary:

100  140  150  160  200.

Use the following standard formulas for fences: the lower fence is located at Q₁ minus 1.5 x IQR, and

the upper fence is located at Q₃ plus 1.5 x IQR.

Item #7:       Determine the upper fence.?

Question 9) For Items #7 through #9, consider the fences and any outliers they would identify for an unknown data collection summarized by the following five-number summary:

100  140  150  160  200.

Use the following standard formulas for fences: the lower fence is located at Q₁ minus 1.5 x IQR, and the upper fence is located at Q₃ plus 1.5 x IQR.

Item #9:       Using these fences as benchmarks for outliers, which of the following data values would indeed be considered outliers? Select all that apply.

OPTIONS:

Response a) 101

Response b) 109

Response c) 119

Response d) 113

Response e) 181

Response f) 189

Response g) 191

Response h) 199

a.Response a) 101

b.Response b) 109

c.Response c) 111

d.Response d) 119

e.Response e) 181

f.Response f) 189

g.Response g) 191

h.Response h) 199

Question 10) Item #10: The Catskills Culinary College holds an annual competition inviting graduating students to participate and recognizing their best efforts at producing a specified vegetarian dish. A panel of culinary professionals from off-campus judge submitted dishes to the following five-category rubric: plating and visual appeal, 4 points; cohesiveness of components, 6 points; taste and texture, 8 points; use of mandatory ingredients, 10 points; and overall quality and satisfaction with the dish, 12 points. Carla Cook, Class of 2020, submitted her update on a diner classic, macaroni and cheese. Her scores, each out of a possible ten points, were as follows: plating and visual appeal, 7; cohesiveness of components, 9; taste and texture, 3; use of mandatory ingredients, 1; and overall quality and satisfaction with the dish, 5. What is Carla's weighted mean average score for this dish? [COMMENTS & HINTS: Do not round but express precisely.]

Question 11) Shaniece Chinook is an ichthyologist working at a hatchery near the Columbia River in the Pacific Northwest. She is monitoring the number of baby salmon or fry hatched in her facility annually.

According to her most recent data, the numbers for a certain species of salmon increased by 143% the first year, then decreased by 20% the second year, but rebounded with an increase of 200% the third year. What represents the average annual percentage change, whether increase or decrease, in fry survival rates, rounded if necessary to the nearest whole percentage?

OPTIONS:

1. 1.8% decrease on average
2. 8% decrease on average
3. 18% decrease on average
4. 80% decrease on average
5. 180% decrease on average
6. 57% decrease on average
7. 57% increase on average
8. 180% increase on average
9. 80% increase on average
10. 18% increase on average
11. 8% increase on average
12. 1.8% increase on average

Question 12) Shaniece Chinook is an ichthyologist working at a hatchery near the Columbia River in the Pacific Northwest. She is monitoring the number of baby salmon or fry hatched in her facility annually.

According to her most recent data, the numbers for another species of salmon decreased by 36% the first year, then increased by 44% the second year. What represents the average annual percentage change, whether increase or decrease, in fry survival rates, rounded if necessary to the nearest whole percentage?

OPTIONS:

1. 0.96% decrease on average
2. 4% decrease on average
3. 9.6% decrease on average
4. 16% decrease on average
5. 96% decrease on average
6. 104% decrease on average
7. 104% increase on average
8. 96% increase on average
9. 16% increase on average
10. 9.6% increase on average
11. 4% increase on average
12. 0.96% increase on average
13. 0.04% decrease on average
14. 0.04% increase on average

Question 13) Shaniece Chinook is an ichthyologist working at a hatchery near the Columbia River in the Pacific Northwest. She is monitoring the number of baby salmon or fry hatched in her facility annually.

According to her most recent data, the numbers for still another species of salmon increased by 96% the first year, and increased by 125% the second year. What represents the average annual percentage increase in fry survival rates, rounded if necessary to the nearest whole percentage? Record the answer as a percentage with percent symbol, including a negative or positive sign in front as necessary.