Data Interpretation and Coordinate Geometry

Which of the following is the mean of the data set: 4, 7, 8, 5, 6?

• 5

• 6

• 7

• 8

Answer explanation

To find the mean, add all the numbers: 4 + 7 + 8 + 5 + 6 = 30. Then divide by the number of values (5): 30 / 5 = 6. Thus, the mean of the data set is 6.

Tags

CCSS.6.SP.B.5C

What is the mode of the following data set: 2, 3, 5, 3, 7, 8, 3?

• 2

• 3

• 5

• 7

Answer explanation

The mode is the number that appears most frequently in a data set. In this case, the number 3 appears three times, more than any other number, making it the mode of the data set.

Tags

CCSS.6.SP.B.5C

Find the median of the data set: 9, 4, 6, 8, 7.

• 6

• 7

• 8

• 9

Answer explanation

To find the median, first arrange the data set in ascending order: 4, 6, 7, 8, 9. The median is the middle value, which is 7 in this case.

Tags

CCSS.6.SP.B.5C

What is the range of the following data: 12, 15, 9, 18, 11?

• 6

• 7

• 9

• 10

Answer explanation

To find the range, subtract the smallest value (9) from the largest value (18). Thus, 18 - 9 = 9. Therefore, the range of the data is 9.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Given the data set: 5, 8, 8, 10, 12, what is the mean?

• 8.6

• 8

• 10

• 9

Answer explanation

To find the mean, add all numbers: 5 + 8 + 8 + 10 + 12 = 43. Then divide by the count of numbers (5): 43 / 5 = 8.6. Thus, the mean is 8.6, which is the correct answer.

Tags

CCSS.6.SP.B.5C

Which of the following is the correct line plot for the data: 1.5, 2, 2.5, 2, 1.5, 2.5, 2?

• Three Xs above 2, two Xs above 1.5, two Xs above 2.5

• Two Xs above 2, three Xs above 1.5, two Xs above 2.5

• Two Xs above 2, two Xs above 1.5, three Xs above 2.5

• Three Xs above 2.5, two Xs above 2, two Xs above 1.5

Answer explanation

The data points are: 1.5 (2 times), 2 (3 times), and 2.5 (2 times). Thus, the correct line plot shows three Xs above 2, two Xs above 1.5, and two Xs above 2.5, matching the first answer choice.

Tags

CCSS.3.MD.B.4

Which table correctly represents the data: 0.5, 1, 1.5, 1, 0.5, 1.5, 1?

• 0.5: 2, 1: 3, 1.5: 2

• 0.5: 3, 1: 2, 1.5: 2

• 0.5: 2, 1: 2, 1.5: 3

• 0.5: 1, 1: 3, 1.5: 3

Answer explanation

The data consists of two 0.5s, three 1s, and two 1.5s. Thus, the correct representation is 0.5: 2, 1: 3, 1.5: 2, which matches the first answer choice.

Tags

CCSS.6.RP.A.3A

Which of the following is a correct way to represent the data set 2, 4, 6, 8, 10 on a line graph?

• Plot points at (1,2), (2,4), (3,6), (4,8), (5,10)

• Plot points at (2,1), (4,2), (6,3), (8,4), (10,5)

• Plot points at (1,10), (2,8), (3,6), (4,4), (5,2)

• Plot points at (1,2), (2,3), (3,4), (4,5), (5,6)

Answer explanation

The correct representation of the data set 2, 4, 6, 8, 10 on a line graph is to plot points at (1,2), (2,4), (3,6), (4,8), (5,10), where the x-values correspond to the position and the y-values correspond to the data points.

Tags

CCSS.5.G.A.2

If you collect the following data: 3.5, 4, 4.5, 5, 5.5, which is the best way to represent it?

• Line plot

• Bar graph

• Pie chart

• Histogram

Answer explanation

A line plot is ideal for representing continuous data like 3.5, 4, 4.5, 5, and 5.5, as it shows trends and relationships over intervals. Other options like bar graphs and pie charts are better for categorical data.

Tags

CCSS.3.MD.B.4

Which of the following is a table representation for the data: 2, 2, 3, 4, 4, 4?

• 2: 2, 3: 1, 4: 3

• 2: 1, 3: 2, 4: 3

• 2: 3, 3: 1, 4: 2

• 2: 2, 3: 3, 4: 1

Answer explanation

The data 2, 2, 3, 4, 4, 4 has two 2's, one 3, and three 4's. Thus, the correct table representation is 2: 2, 3: 1, 4: 3, which matches the first answer choice.

Tags

CCSS.HSN.VM.C.6