Task Sets: Display numerical data in plots on a number line - Common Core Math - Grade 6

Warm-Up: Review What You Know

These problems review skills you need for constructing displays.

A dot plot places each data value as a dot on a number line. If four students scored 85 on a test, how many dots appear at 85 on the dot plot?

1 dot

2 dots

4 dots

85 dots

A histogram shows data grouped into intervals. The interval 20–30 has a bar of height 5. What does this mean?

The value 20 appears 5 times.

5 data values fall within the interval from 20 to 30.

The bar is 5 units wide.

The average value in the interval is 5.

Sort this data set and find the median (middle value): {7, 3, 9, 5, 11}.

Fluency Practice

Construct or analyze each type of data display.

$Dot plot of ages 5-10. Three dots at age 8, two dots each at ages 7 and 9, one dot each at ages 5, 6, 10.$

A dot plot shows ages of 10 children at a birthday party. Use the dot plot to answer: What is the most common age (the value with the most dots)?

7 years

8 years

9 years

10 years

Using the dot plot of ages above (values: 5, 6, 7, 7, 8, 8, 8, 9, 9, 10), what is the range?

$A histogram with visible gaps between bars for score intervals 60–70, 70–80, 80–90, and 90–100, with bar heights of 3, 5, 7, and 4 respectively.$

A student drew a histogram and left spaces between the bars. What error did the student make?

The y-axis scale is wrong.

The bars should touch — histogram intervals are consecutive on a number line with no gaps.

The bars should have different colors.

The x-axis should show individual values, not intervals.

A histogram shows quiz scores in intervals of width 10: [60,70) has 2 students, [70,80) has 6 students, [80,90) has 8 students, [90,100] has 4 students. How many students took the quiz in total?

Find the median of this sorted data set of 11 values: {42, 45, 50, 55, 60, 65, 68, 72, 75, 80, 90}.

Sorted data: {42, 45, 50, 55, 60, 65, 68, 72, 75, 80, 90}. The median is 65. The lower half (excluding median) is {42, 45, 50, 55, 60}. Q1 = ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ . The upper half (excluding median) is {68, 72, 75, 80, 90}. Q3 = ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ . IQR = Q3 − Q1 = ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ .

Q1:

Q3:

IQR:

For the data set {42, 45, 50, 55, 60, 65, 68, 72, 75, 80, 90}, the five-number summary is: Min = 42, Q1 = 50, Median = 65, Q3 = 75, Max = 90. What is the range (Max − Min)?

Exercises: Dot Plots, Histograms, and Box Plots

Warm-Up: Review What You Know

Fluency Practice