MILESTONE Q & A WITH RATIONLES
1
Erica is performing an experiment that requires her to weigh multiple
samples. The masses of her samples are found to be normally distributed
with a mean of 157g and a standard deviation of 5.2g.
If Erica wants to convert her data to a standard normal distribution,
which of the following statements is true?
•
The new mean would be 0, and the standard deviation would be 1.
•
The new mean would be 1, and the standard deviation would be 0.
•
The new mean would be 1, and the standard deviation would be 5.
•
The new mean would be 0, and the standard deviation would be 5.
RATIONALE
The mean and standard deviation for a standard normal is always 0 and 1. It
is standardized since it takes all the raw data and converts them into z-
scores.
CONCEPT
Standard Normal Distribution
2
An outlier is which of the following?
, MILESTONE Q & A WITH RATIONLES
•
A value in a data set that is the highest or lowest of the values in the data set
•
A value in a data set that is significantly higher or lower than most of the values in the
data set
•
Any value in a data set that is larger than twice the mean value
•
A value in a data set that is only significantly lower than most of the values in the data
set
RATIONALE
, MILESTONE Q & A WITH RATIONLES
An outlier is data that doesn't fit with other data. It is either much larger or
much smaller than the other data.CONCEPTOutliers and Modified Boxplots
3
Sara wonders what percentage of her students answered over 75% of the
quiz questions correctly.
The relative cumulative frequency of students who earned a score
of 31 or higher on the quiz is %.
•
88%
•
44%
•
12%
•
6%
RATIONALE
To get the relative frequency of 31 or higher, we need to find the cumulative
number of 31 or more. We simply add up any bin that has the number 31 or
more, such as the bin that shows scores of 31-35 and 36-40.
This would be:
To get relative frequency, we will take this cumulative number and divide it
by the total number of students.
CONCEPT
, MILESTONE Q & A WITH RATIONLES
Cumulative Frequency
4
Which of the following statements is true?
1
Erica is performing an experiment that requires her to weigh multiple
samples. The masses of her samples are found to be normally distributed
with a mean of 157g and a standard deviation of 5.2g.
If Erica wants to convert her data to a standard normal distribution,
which of the following statements is true?
•
The new mean would be 0, and the standard deviation would be 1.
•
The new mean would be 1, and the standard deviation would be 0.
•
The new mean would be 1, and the standard deviation would be 5.
•
The new mean would be 0, and the standard deviation would be 5.
RATIONALE
The mean and standard deviation for a standard normal is always 0 and 1. It
is standardized since it takes all the raw data and converts them into z-
scores.
CONCEPT
Standard Normal Distribution
2
An outlier is which of the following?
, MILESTONE Q & A WITH RATIONLES
•
A value in a data set that is the highest or lowest of the values in the data set
•
A value in a data set that is significantly higher or lower than most of the values in the
data set
•
Any value in a data set that is larger than twice the mean value
•
A value in a data set that is only significantly lower than most of the values in the data
set
RATIONALE
, MILESTONE Q & A WITH RATIONLES
An outlier is data that doesn't fit with other data. It is either much larger or
much smaller than the other data.CONCEPTOutliers and Modified Boxplots
3
Sara wonders what percentage of her students answered over 75% of the
quiz questions correctly.
The relative cumulative frequency of students who earned a score
of 31 or higher on the quiz is %.
•
88%
•
44%
•
12%
•
6%
RATIONALE
To get the relative frequency of 31 or higher, we need to find the cumulative
number of 31 or more. We simply add up any bin that has the number 31 or
more, such as the bin that shows scores of 31-35 and 36-40.
This would be:
To get relative frequency, we will take this cumulative number and divide it
by the total number of students.
CONCEPT
, MILESTONE Q & A WITH RATIONLES
Cumulative Frequency
4
Which of the following statements is true?
