Download Name: Date: Algebra 2/Trig - Unit 8 - Learning Check – Statistics 8.1

Name: __________________________________
Date: ________________
Algebra 2/Trig - Unit 8 - Learning Check – Statistics
1.
1)
2)
3)
4)
8.1 - I can understand the differences among various kinds of
studies (e.g., survey, observation, controlled experiment) and
determine factors which may affect the outcome of a survey.
Which task is not a component of an observational study?
The researcher decides who will make up
the sample.
The researcher analyzes the data received
from the sample.
The researcher gathers data from the sample,
using surveys or taking measurements.
The researcher divides the sample into two
groups, with one group acting as a control
group.
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2. Howard collected fish eggs from a pond behind his house so he could determine whether
sunlight had an effect on how many of the eggs hatched. After he collected the eggs, he divided
them into two tanks. He put both tanks outside near the pond, and he covered one of the tanks
with a box to block out all sunlight. State whether Howard's investigation was an example of a
controlled experiment, an observation, or a survey. Justify your response.
8.2 - I can calculate measures of central tendency with group
frequency distributions.
3. What is the mean of the data in the accompanying table?
1)
2)
3)
4)
11
14.5
15
16
4. Which correctly compares the mean and median of the set of data shown in the
accompanying table?
1)
2)
3)
4)
The mean and median are equal.
The mean exceeds the median by 2.
The median exceeds the mean by 2.
The mean exceeds the median by 2.5.
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8.3 - I can calculate measures of dispersion (range, quartiles,
interquartile range, standard deviation, variance) for both samples
and populations.
5. The set of numbers
has
1) a range of 3 and a median of 7
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3)
a range of 12 and a median of
2) a range of 8 and a median of 7
4)
a range of 8 and a median of
6. The table below shows the grades for a college statistics class.
Find the mean of the data. Find the standard deviation and variance to the nearest tenth.
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8.4 - I know and can apply the characteristics of normal distribution.
7. Assume that the ages of first-year college students are normally distributed with a mean of 19
years and standard deviation of 1 year. To the nearest integer, find the percentage of first-year
college students who are between the ages of 18 years and 20 years, inclusive. To the nearest
integer, find the percentage of first-year college students who are 20 years old or older.
8. A set of test scores is normally distributed with a mean of 80 and a standard deviation of 8.
Between what two scores should 68 percent of the scores fall?
9. In a study of 82 video game players, the researchers found that the ages of these players were
normally distributed, with a mean age of 17 years and a standard deviation of 3 years.
Determine if there were 15 video game players in this study over the age of 20. Justify your
answer.
8.5 - I can determine from a scatter plot whether a linear,
logarithmic, exponential, or power regression model is most
appropriate.
10. Samantha constructs the scatter plot below from a set of data.
Based on her scatter plot, which regression model would be most appropriate?
1) exponential
3) logarithmic
2) linear
4) power
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8.6 - I can determine the function for the regression model, using
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appropriate technology, and use the regression function to
interpolate and extrapolate from the data.
11. The accompanying table shows wind speed and the corresponding wind chill factor when
the air temperature is 10ºF.
a) Write the logarithmic regression equation for this set of data, rounding coefficients to the
nearest ten thousandth.
b) Using this equation, find the wind chill factor, to the nearest degree, when the wind speed is
50 miles per hour.
c) Based on your equation, if the wind chill factor is 0, what is the wind speed, to the nearest
mile per hour?
8.7 - I can interpret within the linear regression model the value of
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the correlation coefficient as a measure of the strength of the
relationship.
12. Which graph represents data used in a linear regression that produces a correlation
coefficient closest to
?
1)
2)
3)
4)
13. The relationship of a woman’s shoe size and length of a woman’s foot, in inches, is given in
the accompanying table.
The linear correlation coefficient for this relationship is
1) 1
2)
3) 0.5
4) 0