Calculations
Use the data below, to calculate the IQR.
12 17 22 26 29 35 42
IQR = 18
In order to calculate the standard deviation of a distribution, you must first do which of the following?
A. Put the data values in numerical order
B. Calculate the mean of the distribution
C. Square the data observation
D. Calculate the median of the distribution
B
When can you use the Empirical Rule?
When the data is roughly symmetrical.
_________________ is often the preferred measure of center because it is resistant.
Median
Here is the five number summary for a data set:
{7, 13, 20, 26, 35}
Name what each number represents.
7 = minimum
13 = Q1
20 = median
26 = Q3
35 = maximum
Use the stemplot on slide 2 to calculate the MEAN and MEDIAN of the data.
mean = 33.5
median = 33.5
Which of the following would most likely produce a skewed data distribution?
A. SAT scores for all students in a given year
B. IQ of students at a large high school
C. Salaries for employees at a large corporation
D. Heights of people living in a large, metropolitan area
C
What is another name for the upper quartile?
Q3
A distribution that is graphed having two peaks is described as ____________________.
Bimodal
Use slide 8 to determine what percent of the distribution's data falls between the values 11 and 25.
75%
For the data on slide 5 calculate the largest a number could be and not be an outlier, and the smallest a number could be without being an outlier.
Largest = -1
Smallest = 7
Use the Cumulative Relative Frequency table on slide 11 to determine which answer is closest to the percentile of having a response time of 5 minutes.
A
Looking at outcomes of a test, scoring at or above which summary measurement is guaranteed to to get you at least in the 50th percentile?
The median
The difference between solving for variance and standard deviation is __________________.
taking the square root.
If you were to use the data on slide 10 to create a stemplot, which stem would have the most leaves?
7
Use the data on slide 4 to arrange the scenarios in order from the person who performed the WORST to who performed the BEST relative to the rest of the class.
Adam, Amy, Jordan, Emma
A distribution of 100 data points are displayed in a dotplot. The mean of the distribution is calculated to be 45.3. It is also determined that the median is 61.2. Which of the following best describes the dotplot of the distribution?
A. left skewed
B. Symmetric and mound shaped
C. right skewed
B. Bimodal
A
Create an example of a data set that would have a variance of zero.
all data must be the same value
The ________________ measures how many standard deviations away from the mean an individual score is.
z-score
To the nearest half minute, what is the median response time for the data shown on slide 7?
5.5 minutes
Use the stemplot on slide 3 to calculate the VARIANCE and STANDARD DEVIATION of the data.
Round your answers to the hundredths place.
Variance = 128.89
Standard Deviation = 11.35
Use the relative frequency distribution on slide 6 to determine which of the multiple choice statements could NOT true.
B
What would the MEAN and STANDARD DEVIATION have to be for a data set that held 95% of the data between the values 33 and 61?
Mean = 47
Standard Deviation = 7
When solving for the variance, the last step is to __________________
divide by n-1
Use the Empirical Rule and the graphs on slide 9 to estimate the percentage of data shaded in YELLOW.
A= 5%
B= 16%
C= 34%
D= 68%
E= 47.5%