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Five-Minute Check (over Lesson 13–1)
Then/Now
New Vocabulary
Example 1:Draw a Stem-and-Leaf Plot
Example 2:Interpret Data
Example 3:Back-to-Back Stem-and-Leaf Plots
Over Lesson 13–1
A. 57.9 in.
B. 59 in.
C. 60 in.
D. 60.7 in.
Use the table of heights, in inches, to find the mean of the data.
Over Lesson 13–1
A. 57.9 in.
B. 59 in.
C. 60 in.
D. 60.7 in.
Use the table of heights, in inches, to find the mode of the data.
Over Lesson 13–1
A. 57.9 in.
B. 59 in.
C. 60 in.
D. 60.7 in.
Use the table of heights, in inches, to find the median of the data.
Over Lesson 13–1
A. range
B. median
C. mode
D. mean
Quinton earned scores of 88, 91, 77, 87, 90, and 89 on his math tests. Which measure tendency best represents his scores?
Over Lesson 13–1
A. 3.0 inches
B. 3.1 inches
C. 4 inches
D. 4.31 inches
A city that received 8 days of rain recorded these amounts in inches: 4, 3.2, 2.8, 4, 3.8, 3.0, 1.4, 2.3. What is the mean amount of rain received?
You have already displayed data in circle graphs. (Lesson 7–8)
• Display data using stem-and-leaf plots.
• Interpret data in a stem-and-leaf plot.
• stem-and-leaf plot
• stems
• leaves
• back-to-back stem-and-leaf plot
Draw a Stem-and-Leaf Plot
FOOD Display the data in a stem-and-leaf plot.
Draw a Stem-and-Leaf Plot
Step 1 The stems are the greatest place values of the data. List the stems 1, 2, 3 in order in the Stem column. Write the ones digits to the right of the corresponding stems in the Leaf column.
Step 2 Add a key that explains how to read the stems and leaves. Include a title.
Answer:
SPEED Display the following speeds given in miles per hour in a stem-and-leaf plot. 65 72 59 68 75 70 68 64 67 69 72 55
A. B.
C. D.
Stem Leaf
6 5 8 8 4 7 9
7 2 5 0 2
5 9 5
6|4 = 64 mph
Stem Leaf
5 5 9
6 4 5 7 8 8 9
7 0 2 2 5
6|4 = 64 mph
StemLeaf
5 5 9
6 4 5 7 8 9
7 0 2 5
6|4 = 64 mph
Stem Leaf
6 4 5 7 8 9
7 0 5 0 2
5 9 5
6|4 = 64 mph
Interpret Data
A. PETS The stem-and-leaf plot lists the number of students in each class in a middle school who own pets. Find the median and mode.
Answer: The median, or middle value, is 25. There are 3 values which appear twice. The modes are 17, 21, and 32.
Interpret Data
B. PETS The stem-and-leaf plot lists the number of students in each class in a middle school who own pets. What is the difference between the least and the greatest number of students who own pets?
Answer: The difference is 33 – 11 or 22.
A. median, 24; mode, 12
B. median, 24; mode, 4
C. median, 24; mode, 24
D. median, 20; mode, 24
A. PETS The stem-and-leaf plot lists the percent of students in each class in a middle school who owns pets. Find the median and mode.
A. 11
B. 22
C. 24
D. 33
B. PETS The stem-and-leaf plot lists the percent of students in each class in a middle school who owns pets. What is the difference between the least and greatest number of students who owns pets?
Interpret Data
A. AGRICULTURE The yearly production of honey in California and Florida is shown for the years 2000 to 2006, in millions of pounds. Which state produces more honey? Explain.
Answer: California; it produces greater numbers of pounds.
2|3 = 32 million lb
California Florida
7 1 4 4 4
8 4 0 2 0 0 2 4
2 1 0 3
2|0 = 20 million lb
Interpret Data
B. AGRICULTURE The yearly production of honey in California and Florida is shown for the years 2000 to 2006, in millions of pounds. Which state has the more varied production? Explain.
Answer: California; the data are more spread out.
2|3 = 32 million lb
California Florida
7 1 4 4 4
8 4 0 2 0 0 2 4
2 1 0 3
2|0 = 20 million lb
A. males B. females
C. Both groups had an equally high score.
D. cannot be determined
A. EXAM SCORES The exam scores earned on the first test in a particular class are shown for male and female students. Which group of students had the higher test scores?
Male Female
8 2 6
9 6 4 7 4 8 8 9
7 4 2 2 0 8 1 3 4 8 9
6 5 3 9 2 5 9
2|8 = 82 7|4 = 74
A. males B. females
C. Both groups had equally varied scores.
D. cannot be determined
B. EXAM SCORES The exam scores earned on the first test in a particular class are shown for male and female students. Which group of students had more varied test scores?
Male Female
8 2 6
9 6 4 7 4 8 8 9
7 4 2 2 0 8 1 3 4 8 9
6 5 3 9 2 5 9
2|8 = 82 7|4 = 74