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- Measures of the spread of the
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Use the following information to answer the next two exercises : The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles.
29; 37; 38; 40; 58; 67; 68; 69; 76; 86; 87; 95; 96; 96; 99; 106; 112; 127; 145; 150
Two baseball players, Fredo and Karl, on different teams wanted to find out who had the higher batting average when compared to his team. Which baseball player had the higher batting average when compared to his team?
Baseball Player |
Batting Average |
Team Batting Average |
Team Standard Deviation |
Fredo |
0.158 |
0.166 |
0.012 |
Karl |
0.177 |
0.189 |
0.015 |
For Fredo:
z =
= –0.67
For Karl:
z =
= –0.8
Fredo’s
z -score of –0.67 is higher than Karl’s
z -score of –0.8. For batting average, higher values are better, so Fredo has a better batting average compared to his team.
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Find the standard deviation for the following frequency tables using the formula. Check the calculations with the TI 83/84 .
Find the standard deviation for the following frequency tables using the formula. Check the calculations with the TI 83/84.
-
Grade |
Frequency |
49.5–59.5 |
2 |
59.5–69.5 |
3 |
69.5–79.5 |
8 |
79.5–89.5 |
12 |
89.5–99.5 |
5 |
-
Daily Low Temperature |
Frequency |
49.5–59.5 |
53 |
59.5–69.5 |
32 |
69.5–79.5 |
15 |
79.5–89.5 |
1 |
89.5–99.5 |
0 |
-
Points per Game |
Frequency |
49.5–59.5 |
14 |
59.5–69.5 |
32 |
69.5–79.5 |
15 |
79.5–89.5 |
23 |
89.5–99.5 |
2 |
-
-
-
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Bringing it together
Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows:
# of movies |
Frequency |
0 |
5 |
1 |
9 |
2 |
6 |
3 |
4 |
4 |
1 |
- Find the sample mean
.
- Find the approximate sample standard deviation,
s .
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Forty randomly selected students were asked the number of pairs of sneakers they owned. Let
X = the number of pairs of sneakers owned. The results are as follows:
X |
Frequency |
1 |
2 |
2 |
5 |
3 |
8 |
4 |
12 |
5 |
12 |
6 |
0 |
7 |
1 |
- Find the sample mean
- Find the sample standard deviation,
s
- Construct a histogram of the data.
- Complete the columns of the chart.
- Find the first quartile.
- Find the median.
- Find the third quartile.
- Construct a box plot of the data.
- What percent of the students owned at least five pairs?
- Find the 40
th percentile.
- Find the 90
th percentile.
- Construct a line graph of the data
- Construct a stemplot of the data
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Following are the published weights (in pounds) of all of the team members of the San Francisco 49ers from a previous year.
177; 205; 210; 210; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174; 185; 242; 188; 212; 215; 247; 241; 223; 220; 260; 245; 259; 278; 270; 280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215; 185; 230; 250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265
- Organize the data from smallest to largest value.
- Find the median.
- Find the first quartile.
- Find the third quartile.
- Construct a box plot of the data.
- The middle 50% of the weights are from _______ to _______.
- If our population were all professional football players, would the above data be a sample of weights or the population of weights? Why?
- If our population included every team member who ever played for the San Francisco 49ers, would the above data be a sample of weights or the population of weights? Why?
- Assume the population was the San Francisco 49ers. Find:
- the population mean,
μ .
- the population standard deviation,
σ .
- the weight that is two standard deviations below the mean.
- When Steve Young, quarterback, played football, he weighed 205 pounds. How many standard deviations above or below the mean was he?
- That same year, the mean weight for the Dallas Cowboys was 240.08 pounds with a standard deviation of 44.38 pounds. Emmit Smith weighed in at 209 pounds. With respect to his team, who was lighter, Smith or Young? How did you determine your answer?
- 174; 177; 178; 184; 185; 185; 185; 185; 188; 190; 200; 205; 205; 206; 210; 210; 210; 212; 212; 215; 215; 220; 223; 228; 230; 232; 241; 241; 242; 245; 247; 250; 250; 259; 260; 260; 265; 265; 270; 272; 273; 275; 276; 278; 280; 280; 285; 285; 286; 290; 290; 295; 302
- 241
- 205.5
- 272.5
-
- 205.5, 272.5
- sample
- population
-
- 236.34
- 37.50
- 161.34
- 0.84 std. dev. below the mean
- Young
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Questions & Answers
the study of living organisms and their interactions with one another and their environments
AI-Robot
HOW CAN MAN ORGAN FUNCTION
the diagram of the digestive system
allimentary cannel
Ogenrwot
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
Genetics is the study of heredity
Misack
how does twins formed?
Misack
discuss biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
list any five characteristics of the blood cells
Shaker
lack electricity and its more savely than electronic microscope because its naturally by using of light
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
Abdullahi
cell theory state that every organisms composed of one or more cell,cell is the basic unit of life
Abdullahi
is like gone fail us
DENG
cells is the basic structure and functions of all living things
Ramadan
is organisms that are similar into groups called tara
Yamosa
in what situation (s) would be the use of a scanning electron microscope be ideal and why?
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
Hilary
cell is the building block of life.
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Source:
OpenStax, Introductory statistics. OpenStax CNX. May 06, 2016 Download for free at http://legacy.cnx.org/content/col11562/1.18
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