Measures of Center: in this unit we covered the three measures of center—mean, median, and mode. Reflect back on what you have learned about these to answer questions #1 through #6.
Question 1
1.
Calculate the mean and the median of Jon’s Science Test Scores.
Also include what shape the distribution would be based on the relationship of the two values.
Question 2
2.
Question 3
3.
Question 4
4.
Question 5
5.
How can you estimate the mean of a histogram when you do not have the actual data values that created it?
Question 6
6.
Determine which of the following are good estimates for the mean of the distribution—circle your answer choices.
In this unit we learned that there are three unique shapes when describing distributions: approximately normal, skewed to the right, and skewed to the left. Reflect back on what you have learned about these to answer questions #7 through #10.
Question 7
7.
Question 8
8.
Question 9
9.
Question 10
10.
Match each type of distribution shape with the correct relationship between the mean and the median.
Measures of Variability: in this unit we covered two measures of variability—Range and Interquartile Range. Reflect back on what you have learned about these to answer questions #11 through #17.
Question 11
11.
Question 12
12.
Question 13
13.
Question 14
14.
Question 15
15.
Question 16
16.
Question 17
17.
Putting it all together—this last section of the review we will use to interpret and compare and summarize using all of the concepts we have learned in this unit on Patterns in Data.
Question 18
18.
Question 19
19.
Answer the four questions shown using the box plot.
Question 20
20.
How many students are in Mrs. Berkey’s Class?
Question 21
21.
What is the lowest possible Test Score in Mrs. Berkey’s Class?
Question 22
22.
Question 23
23.
Question 24
24.
Question 25
25.
Question 26
26.
Question 27
27.
mean = median
mean > median
mean < median
mean = median
mean > median
mean < median
mean = median
mean > median
mean < median
approximately normal
skewed to the right
skewed to the left
approximately normal
skewed to the right
skewed to the left
approximately normal
skewed to the right
skewed to the left
Which measure of variability can be found by calculating the difference between the upper quartile and the lower quartile?
Range
Interquartile Range
Which measure of variability can be found by calculating the difference between the maximum and the minimum?
Range
Interquartile Range
Which measure of variability do we consider more reliable because it is more typical of the data set and is not generally affected by unusually high or low values?
Range
Interquartile Range
Which measure of variability is the “box” of a box and whisker plot?
Range
Interquartile Range
Which measure of variability represents 100% of the data?
Range
Interquartile Range
Which measure of variability represents the middle 50% of the data?
Range
Interquartile Range
Which measure of variability is also referred to as the “spread” of the data?
Range
Interquartile Range
Recall that each section of a box and whisker plot is 25% of the data in the distribution--use this fact to select ALL of the statements below that are true based on the stacked box plot of Test Scores for Kyle and Amira.
25% of Kyle’s Test Scores were a 78 or better
50% of Amira’s Test Scores were an 88 or under
75% of Kyle’s Test Scores were a 89 or under
25% of Amira’s Test Scores were between an 83 and an 88
50% of Kyle’s Test Scores were between a 75 and an 89
75% of Amira’s Test Scores were a 78 or better
Kyle’s Test Scores are considered to be more consistent or reliable than Amira’s
The average temperatures in the summer have a greater spread than those in the spring.
True
False
50% of the average temperatures in the Spring fall between 55 degrees and 75 degree.
True
False
75% of the average temperatures in the Summer are 85 degrees and above.
True
False
Which restaurant will have a mean value that is greater than it's median value?
The Red Brick Grill because it is approximately normal in shape
Sophie's Cafe because it is approximately normal in shape
The Red Brick Grill because it is skewed to the right
Sophie's Cafe because it is skewed to the right
The Red Brick Grill because it is skewed to the left
Sophie's Cafe because it is skewed to the left
Which statement correctly summarizes the interquartile range of Sophie's Cafe?
50% of the entree prices are between $5 and $9
50% of the entree prices are between $7 and $9
50% of the entree prices are between $5 and $7
50% of the entree prices are between $6 and $8
Which Restaurant has an outlier in it's distribution?