MAT 205 Wilmington University Probabilities and Percentiles Questions

Cooper, Kameron (Student)2:28 PM
10/27/2021
0
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Collaborative Project weeks 5-7 MAT205 Spring 2020.docx – Word
Cooper, Kameron (Student)
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weeks 5-7
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Statistics Island
4. Create a box and whisker plot using the answers from question 3. Be sure to include
the number line and label it.
Directions
For all calculations, show your work and/or explain how you used the calculator to
compute.
5. Label Graph 1. Using the mean and standard deviation from Chart 3, label the mean.
Then label up to 3 standard deviations above and below the mean.
Graph 1
1. Your population is thriving on your island. The data you have collected now needs to
be displayed and analyzed. Use the charts you created in the Probability Island project
to complete the table below. Use the total number of births per year to fill in chart 3.
Round to two decimal places if necessary
Chart 3 – Births
Mean
Median
A
Mode
Range
Standard Deviation
2. Is your standard deviation for a population or a sample? Why did you select that
answer?
6. a. Find the probability of the number of births annually being less than 1 by
calculating the Z-score using the formula the formula z =
3. Find the following values using your data from chart 1 on the first project.
Chart 4
Then use the Area Under a Normal Distribution Curve table or your calculator
(Normalcdf)
Lowest value
First Quartile (Q1)
Median (Q2)
Third Quartile (Q3)
Highest value
Interquartile range
b. Find the probability of the number of births annually being greater than 2. Calculate
the Z-score. Then find the probability by using the Area Under a Normal Distribution
Curve table or your calculator.
Page 1 of 3
257 words
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2:28 PM
10/27/2021
Woman Year Year Year
1 2
1
NO by Nimbus
Year Year
4 5
Year
6
Year
7
Year
8
Year Year
9 10
I w
–
Nelly
E
boy
Igirl
2
boy
girl
—
3
No inay boy
4
gn
E
–
5
No Baby boy
bees
–
CO
No Baby No
givi
girl
)
NO by
7
girl
boy
girl
—
8
girl
Hill
1)
NEU
9
girl
girl
O
10
boy
girl
–
11
–
boy
Ulu
12
Ni Baby
–
–
–
13
NO.
–
–
girl
girl
girl
14
No loaby
15
Nobaias begy
No banky
16
O
I
1
17
NO
1
– E
ויר
18
–
giri
–
19
giri
20
Igirl
US
No baby
–
boy
girl girl
Total
boys
14
31
1
20 O
o
1
3
о
4
1
32
2
1
Total
girls
Total
Births
o
4
4
Jr
mln
73
7
512
5
Nm
21
34
Chart 2
2.
Male
Year 0 1
3 4 5 6 7 8 9 10
75
79 92
83 84 86 86 86 87 88 88
Female 75 78
78 82 83 86 88 89 91 95
Total 150 157 160 165 167 172 174 175
so
176 179 183
Experimental
Y1
VL
Y3 14 YE Y Y7
ra
– 3120
1/20 1/20
2120 120/20 = K = 120 = /20
Plgirl) = 3120 = 120
= 220l=ho
? (Births) = 7/20
= 3/20
Y8
ylo,
P(Baj) = 440
1-420 Y 3/20
20
= 4/20
= /20 = 20
1= 3/20 – The Foresko
= 2/20 tho
= Yeo
F4/20
Thenietia tenen year
(
P(Boy) – +5/2014
*
Plgord=5120
(Births= 10/20 = 1/2
کما نہ منانا
EMCLVL
The experineu tall probabilities are au
expeeted with the
theoretical probabilite). You can would expect
that there would be birtus in 50% of the
to population of child bearine, woment but
only years 5 and year 3 got close to
this fe 751, you would also Thoereticaly
expect there would be half boy and half
girls out of the births, thes was not
seen exactly experimentary with some
years having soicely givis (46,47,410) anel
some years havines solely boys(y2 Y8)