5. What conclusions can you draw from the data gathered from one small bag compared to several small bags of M&Ms?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 24PPS
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Page 1/4
1. Suppose you open a bag of M&Ms and count the number of M&Ms you have of each color.
Suppose there were the following:
Qty 10 blue
Qty 8 orange
Qty 4 yellow
Qty 3 green
Qty 5 brown
Qty 3 red
The total of m&m's are 33
2. Calculate the proportion of each color (round to 3 decimals) please show calculation and
answer in proportion cell of table example 21/57 = .368
Color
Proportion
10/33 .303
Blue
Orange
8/33= 242
Yellow
4/33=.121
Green
3/33=.091
Brown
5/33= 152
Red
3/33=.091
1
3. Suppose the entire class put all the M&Ms together on the table and following occurred:
Qty 42 blue
Qty 45 orange
Qty 33 yellow
Qty 25 green.
Qty 10 brown
Qty 22 red
Entire class population is 177
4. For the entire class, calculate the proportion of each color (round to 3 decimals) please show
calculation and answer in proportion cell of table example 21/57 = .368
Color
Proportion
Blue
42/177=.237
Orange
45/177= 254
Yellow
33/177.186
Green
25/177= 141
Brown
10/177=.056
Red
22/177= 124
5. What conclusions can you draw from the data gathered from one small bag compared to several
small bags of M&Ms?
2
Transcribed Image Text:Page 1/4 1. Suppose you open a bag of M&Ms and count the number of M&Ms you have of each color. Suppose there were the following: Qty 10 blue Qty 8 orange Qty 4 yellow Qty 3 green Qty 5 brown Qty 3 red The total of m&m's are 33 2. Calculate the proportion of each color (round to 3 decimals) please show calculation and answer in proportion cell of table example 21/57 = .368 Color Proportion 10/33 .303 Blue Orange 8/33= 242 Yellow 4/33=.121 Green 3/33=.091 Brown 5/33= 152 Red 3/33=.091 1 3. Suppose the entire class put all the M&Ms together on the table and following occurred: Qty 42 blue Qty 45 orange Qty 33 yellow Qty 25 green. Qty 10 brown Qty 22 red Entire class population is 177 4. For the entire class, calculate the proportion of each color (round to 3 decimals) please show calculation and answer in proportion cell of table example 21/57 = .368 Color Proportion Blue 42/177=.237 Orange 45/177= 254 Yellow 33/177.186 Green 25/177= 141 Brown 10/177=.056 Red 22/177= 124 5. What conclusions can you draw from the data gathered from one small bag compared to several small bags of M&Ms? 2
Page 3/4
6. A 5-pound bulk bag of M&Ms holds approximately 2900 pieces. How many of each color should
we expect to find in the bag based on the results of the proportions from the entire class?
(approximate number of each color to be rounded to the nearest whole M&M) please show
calculation and answer in Approximate number of M&Ms cell of table example 2900*0.368 =
1067
Color
Approximate number of M&Ms
Blue
2900*0.237= 687.3 687
Orange
2900*0.254=736.6~737
Yellow
2900*0.186 539.4~539
Green
2900*0.141-408.9~ 409
Brown
2900*0.056= 162.4 162
Red
2900*0.124 359.6~ 360
7. A bag of M&Ms is dumped on the table and you count 82 blue pieces. Approximately how many
M&Ms do you expect to be in the entire bag based on the proportions of the entire class?
Round to nearest whole M&M
Show calculation and answer
8. According to Mars, the makers of M&Ms, their factory produces 25 % blue, 25% orange, and
12.5% for each of the remaining colors. How do the observed values based on the entire class
compare to these?
9. What are some of the reasons why our bags would differ from the expected distribution?
10. Why would Mars not put equal amounts of each color in every bag?
Transcribed Image Text:Page 3/4 6. A 5-pound bulk bag of M&Ms holds approximately 2900 pieces. How many of each color should we expect to find in the bag based on the results of the proportions from the entire class? (approximate number of each color to be rounded to the nearest whole M&M) please show calculation and answer in Approximate number of M&Ms cell of table example 2900*0.368 = 1067 Color Approximate number of M&Ms Blue 2900*0.237= 687.3 687 Orange 2900*0.254=736.6~737 Yellow 2900*0.186 539.4~539 Green 2900*0.141-408.9~ 409 Brown 2900*0.056= 162.4 162 Red 2900*0.124 359.6~ 360 7. A bag of M&Ms is dumped on the table and you count 82 blue pieces. Approximately how many M&Ms do you expect to be in the entire bag based on the proportions of the entire class? Round to nearest whole M&M Show calculation and answer 8. According to Mars, the makers of M&Ms, their factory produces 25 % blue, 25% orange, and 12.5% for each of the remaining colors. How do the observed values based on the entire class compare to these? 9. What are some of the reasons why our bags would differ from the expected distribution? 10. Why would Mars not put equal amounts of each color in every bag?
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