/ Class:
/ Date:
6th Grade GT- Central Tendencies Review
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Name:
/ Class:
/ Date:
6th Grade GT- Central Tendencies Review
1.What are the first and third quartiles of the data?
a. / 2, 12 / b. / 3.5, 9
c. / 3, 10 / d. / 4.5, 8
2.What is the interquartile range of the data?
a. / 5.3 / b. / 6
c. / 5 / d. / 5.5
The table below shows the number of movies owned by a group of people.
3.Represent the data in a stem-and-leaf plot.
a. /
b. /
c. /
Lisa asked her classmates how many fiction books each has read. The results are shown in the dot plot. Use the graph.
4.What is the mean of the data? Round to the nearest tenth.
a. / 5 / b. / 4.5
c. / 5.2 / d. / 5.7
5.What is the median of the data?
a. / 5 / b. / 3
c. / 9 / d. / 10
6.What is the mode of the data?
a. / 10 / b. / 8
c. / 5 / d. / 3
7.Which of the following is an appropriate display to show the height of a plant over the past 3 weeks?
a. / line graph / b. / stem-and-leaf plot
c. / circle graph / d. / line graph
8.Seventeen out of 20 teens said they eat breakfast every morning. What is a reasonable prediction for the number of teens out of 1,280 who eat breakfast every morning?
a. / 340 teens / b. / 940 teens
c. / 1,088 teens / d. / 1,260 teens
Select an appropriate display for each situation. Justify your reasoning.
9.the heights of seventh graders arranged by intervals
a. / Line graph; it shows changes over a period of time.
b. / Circle graph; it compares parts of the data set to the whole set of data.
c. / Histogram; it shows frequency of data divided into equal intervals.
d. / Bar graph; it shows the number of items in specific categories.
Use the box plot below. It shows the number of days on the market for single family homes in a city.
10.What are the first and third quartiles of the data?
a. / 0, 120 / b. / 20, 90
c. / 10, 120 / d. / 40, 120
11.What percent of homes were on the market between 20 and 40 days?
a. / / b. / 75%
c. / 25% / d. / 50%
Select an appropriate display for each situation. Justify your reasoning.
12.the closing price of a stock over the past 3 weeks
a. / Line graph; it shows changes over a period of time.
b. / Circle graph; it compares parts of the data set to the whole set of data.
c. / Histogram; it shows frequency of data divided into equal intervals.
d. / Bar graph; it shows the number of items in specific categories.
13.The data set represents the prices for a full tank of gasoline for different motorcycles:
$19, $18, $15, $17, $19, $12, $19, and $15.
Which measure of center would you use to convince people that the prices are high?
a. / mean / b. / median
c. / mode / d. / none of these
14. What is the mean absolute deviation of the number of books read, rounded to the nearest tenth?
15.The dot plot shows the test scores of students. What fraction of total students scored 60? Express in simplest form.
a. /
/ b. /
c. / / d. /
Use the box plot that shows student test scores for two classrooms.
16.Which class had a greater range of scores?
a. / Room 300 / b. / none of these
c. / Room 240 / d. / not enough information
17.Write an inference you can make about the populations.
a. / The students in Room 240 were older than those in Room 300.
b. / Room 240 had higher test scores.
c. / Room 300 had higher test scores.
d. / Room 300 had lower test scores.
18.The double dot plot shows Katie and Danielle’s resting heart rates in beats per minute after 10 morning workouts. Compare the shapes, centers, and spreads of the two populations. Whose heart rate varies more?
a. / The data for Katie’s heart rate is not symmetric and has a median of 59 bpm with an interquartile range of 11 bpm. The data for Danielle’s heart rate is symmetric and has a median of 71 bpm with an interquartile range of 2 bpm. Katie’s resting heart rate varies more.
b. / The data for Katie’s heart rate is not symmetric and has a median of 65 bpm with an interquartile range of 11 bpm. The data for Danielle’s heart rate is symmetric and has a median of 71 bpm with an interquartile range of 2 bpm. Katie’s resting heart rate varies more.
c. / The data for Danielle’s heart rate is not symmetric and has a median of 60 bpm with an interquartile range of 5 bpm. The data for Katie’s heart rate is symmetric and has a median of 65 bpm with an interquartile range of 1 bpm. Danielle’s resting heart varies more.
d. / The data for Danielle’s heart rate is not symmetric and has a median of 73 bpm with an interquartile range of 10 bpm. The data for Katie’s heart rate is symmetric and has a median of 66 bpm with an interquartile range of 3 bpm. Danielle’s resting heart varies more.
19.The circle graph shows the favorite lunch of 200 seventh graders at Central Middle School. How many more students favored Veggie Pizza than Tacos for lunch?
Use a problem solving model to solve.
a. / 46 students / b. / 92 students
c. / 84 students / d. / 160 students
20. Jeni recorded the number of pages she read each night for 1 week.
13 / 10 / 5 / 7 / 10 / 11 / 7What is the difference between the mode and the mean absolute deviation of her data, rounded to the nearest hundredth?
Answer Key
2.d
3.b
4.d
5.a
6.c
7.a
8.c
9.c
10.b
11.c
12.a
13.c
14.5.7
15.b
16.c
17.c
18.b
19.b
20. 4.43
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