Grade 6 Math Practice Test: Statistics and Data Displays
- Statistics and Data Displays
- 12 questions
- 15 minutes
This test covers statistical questions, measures of center and variability, and reading dot plots, box plots and histograms. Tip: always put the data in order before you look for the median or the quartiles.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
Your result
- 0 correct
- 0 wrong
- 0 blank
-
Question 1
Which of these is a statistical question?
Correct answer: D
A statistical question expects answers that vary, so it needs data from many people or many measurements. The other questions each have a single answer.
-
Question 2
What is the mean of this data set?
3, 5, 8, 8, 11
Correct answer: C
The mean is the sum divided by the number of values: (3 + 5 + 8 + 8 + 11) ÷ 5 = 35 ÷ 5 = 7. 8 is the median and also the mode, and 35 is only the sum.
-
Question 3
What is the median of this data set?
12, 7, 15, 9, 20, 10
Correct answer: D
In order the values are 7, 9, 10, 12, 15, 20. With an even number of values, the median is the mean of the two middle values: (10 + 12) ÷ 2 = 11. 12 comes from using the middle values 15 and 9 without ordering.
-
Question 4
Data Set A: pets
Fifteen students were asked how many pets they have. The dot plot shows their answers; each dot is one student.
How many students have more than 2 pets?
Correct answer: A
More than 2 means 3 or 4 pets: 2 students have 3 pets and 1 student has 4 pets, so 2 + 1 = 3 students. 7 also counts the students with exactly 2 pets.
-
Question 5
Data Set A: pets (see above):
What is the median number of pets?
Correct answer: D
With 15 values, the median is the 8th value in order. The first 3 values are 0 and the next 5 are 1, so values 4 through 8 are all 1, and the median is 1. 2 is just the middle of the scale from 0 to 4.
-
Question 6
What is the interquartile range (IQR) of this data set?
2, 4, 5, 7, 8, 10, 12, 15
Correct answer: C
The lower half is 2, 4, 5, 7, so Q1 = (4 + 5) ÷ 2 = 4.5. The upper half is 8, 10, 12, 15, so Q3 = (10 + 12) ÷ 2 = 11. IQR = 11 − 4.5 = 6.5. 13 is the range and 7.5 is the median.
-
Question 7
Data Set B: plant heights
The box plot shows the heights, in centimeters, of the plants in a school garden.
What is the interquartile range of the plant heights?
Correct answer: C
The box goes from Q1 = 15 to Q3 = 30, so IQR = 30 − 15 = 15 cm. 30 cm is the range (40 − 10), and 20 cm is the median.
-
Question 8
Data Set B: plant heights (see above):
Which statement must be true?
Correct answer: B
The box covers the middle half of the data, from Q1 to Q3, so about half of the plants are between 15 and 30 cm. A box plot shows the median (20 cm), not the mean, and the range is 40 − 10 = 30 cm.
-
Question 9
Five students counted the books in their backpacks: 4, 5, 5, 6 and 30. Which statement is true?
Correct answer: A
The mean is (4 + 5 + 5 + 6 + 30) ÷ 5 = 50 ÷ 5 = 10, which is pulled up by the outlier 30. The median, 5, is closer to what most students carry, so it describes a typical value better.
-
Question 10
What is the mean absolute deviation (MAD) of this data set?
2, 4, 6, 8
Correct answer: A
The mean is 20 ÷ 4 = 5. The distances from 5 are 3, 1, 1 and 3, and their mean is 8 ÷ 4 = 2. 5 is the mean itself and 6 is the range.
-
Question 11
The histogram shows how many minutes some students spent reading last night.
How many students read for at least 20 minutes?
Correct answer: B
At least 20 minutes includes the 20-29 bar (8 students) and the 30-39 bar (3 students): 8 + 3 = 11. 18 is the total number of students.
-
Question 12
The mean of Nora's five quiz scores is 9. Four of her scores are 7, 10, 6 and 9. What is her fifth score?
Correct answer: B
A mean of 9 for five scores means the total is 9 × 5 = 45. The four known scores add to 32, so the fifth score is 45 − 32 = 13. 8 is the mean of the four known scores.
Questions you leave blank are not counted as wrong.
More Math tests
MathGrade 6 Math Practice Test: Area, Surface Area and VolumeArea, Surface Area and Volume15 questions20 min MathGrade 6 Math Practice Test: Ratios, Rates and PercentsRatios, Rates and Percents12 questions15 minMathGrade 6 Math Practice Test: Expressions and EquationsExpressions and Equations12 questions15 minMathGrade 6 Math Practice Test: Dividing Fractions by FractionsDividing Fractions by Fractions10 questions15 minMathGrade 6 Math Practice Test: Integers and Absolute ValueIntegers and Absolute Value10 questions12 minMathGrade 6 Math Practice Test: The Coordinate Plane in All Four QuadrantsThe Coordinate Plane in All Four Quadrants10 questions12 minMathGrade 6 Math Practice Test: Greatest Common Factor and Least Common MultipleGreatest Common Factor and Least Common Multiple10 questions12 min