Describing One Variable Trends Lesson

Fill in the Blanks

Find the mean of the following data using Demos.

2, 3, 5, 7, 8, 10, 14, 18, 19, 21, 25, 28

Fill in the Blanks

Find the median of the following data using Demos.

2, 3, 5, 7, 8, 10, 14, 18, 19, 21, 25, 28

Fill in the Blanks

Find the range of the following data using Demos.

2, 3, 5, 7, 8, 10, 14, 18, 19, 21, 25, 28

Fill in the Blanks

Find the standard deviation of the following data using Demos.

2, 3, 5, 7, 8, 10, 14, 18, 19, 21, 25, 28

Fill in the Blanks

Find the IQR of the following data using Demos.

2, 3, 5, 7, 8, 10, 14, 18, 19, 21, 25, 28

Fill in the Blanks

Determine if there are any outliers:

2, 3, 5, 7, 8, 10, 14, 18, 19, 21, 25, 28

yes or no

Match

For each of the following situations, state whether you expect the distributions to be

symmetric, left-skewed or right-skewed.

• Housing prices in a country where 25% of the houses cost below $550,000, 50% of the houses cost below $750,000, 75% of the houses cost below $1,000,000 and there are a meaningful number of houses that cost less than $250,000.

• Housing prices in a country where 25% of the houses cost below $300,000, 50% of the houses cost below $600,000, 75% of the houses cost below $900,000 and very few houses that cost more than $1,200,000.

• Housing prices in a country where 25% of the houses cost below $350,000, 50% of the houses cost below $450,000, 75% of the houses cost below $1,000,000 and there are a meaningful number of houses that cost more than $6,000,000.

Left - Skewed

Symmetric

Right - Skewed

• Left - Skewed

• Symmetric

• Right - Skewed

Match

For each of the following situations, state whether you expect the distributions to be

symmetric, left-skewed or right-skewed.

• Maximum students will score higher on an easy test whereas students with lower scores will be fewer.

• On a test, most students will score around the average, with fewer students scoring very high or very low

• Maximum students will score lower on a hard test whereas students with higher scores will be fewer.

Left - Skewed

Symmetric

Right - Skewed

• Left - Skewed

• Symmetric

• Right - Skewed

Categorize

Options (14)

$$1\ \frac{3}{4}$$  

$$2\ \frac{1}{8}$$  

$$1\ \frac{5}{8}$$  

$$1\ \frac{3}{8}$$  

$$1\ \frac{1}{2}$$  

$$2\ \frac{1}{2}$$  

$$1\ \frac{1}{8}$$  

$$1\ \frac{1}{4}$$  

$$1\ \frac{7}{8}$$  

$$2\ \frac{1}{4}$$  

$$2\ \frac{3}{8}$$  

$$2\ \frac{5}{8}$$  

$$1$$  

$$2$$  

Drag a number to the box to answer the question.

Where is the peak?

What is the range?

Where is the gap?

NOT an Answer

Categorize

Options (7)

$$1\ \frac{1}{2}$$  

$$1\ \frac{1}{4}$$  

$$2\ \frac{1}{2}$$  

$$2\ \frac{1}{4}$$  

$$1$$  

$$2$$  

$$1\ \frac{3}{4}$$  

Drag a number to the box to answer the question.

Where is the peak?

What is the range?

Where is the gap?

NOT an Answer

Drag and Drop

Drag a number to the box to answer the question.

There is a ​

Placeholder

at 2.

There is a ​

Placeholder

at 11.

7 is the ​

Placeholder

.

There is a ​

Placeholder

from 3 to 10

Drag these tiles and drop them in the correct blank above

cluster

peak

gap

outlier

Categorize

Options (4)

peak

gap

outlier

cluster

Drag the correct word to fill in the blank.

There is a ​_ at 7.

There is a _ from 2 to 4.

1 is the _.

There is a ​_ from 5 to 10

Categorize

Options (4)

peak

gap

outlier

cluster

Drag the correct word to fill in the blank.

5 is the _.

There is a _ from 9 to 13.

The point at 14 is the _.

There is a ​_ from 1 to 8

Categorize

Options (4)

peak

gap

outlier

cluster

Drag the correct word to fill in the blank.

5 is the _.

There is no _ or _.

There is a _ from 1 to 7.

Categorize

Options (4)

There are 2 gaps.

There are 2 outliers.

There is a cluster between 105 and 107.

106 is an outlier

Organize these statements into the right categories

Correct

Incorrect

Categorize

Options (4)

There is one cluster.

1 is an outlier.

10 is the peak.

This is only a gap from 11 to 14.

Organize these statements into the right categories

Correct

Incorrect

Categorize

Options (4)

There are two clusters.

70 is an outlier.

There is a peak at 73.

There are two gaps.

Organize these statements into the right categories

Correct

Incorrect

Categorize

Options (4)

There are two outliers.

There is a gap from 95 to 97.

There a peak at 98.

There is a cluster from 86 to 90.

Organize these statements into the right categories

Correct

Incorrect

Labeling

Drag a number to the box to answer the question.

Drag labels to their correct position on the image

Skewed Right

Approximately Symmetrical

Skewed Left

Labeling

Drag a number to the box to answer the question.

Drag labels to their correct position on the image

Skewed Left

Skewed Right

Approximately Symmetrical

Labeling

Drag a number to the box to answer the question.

Drag labels to their correct position on the image

Skewed Right

Approximately Symmetrical

Skewed Left

Labeling

Drag a number to the box to answer the question.

Drag labels to their correct position on the image

Skewed Right

Skewed Left

Approximately Symmetrical

Categorize

Options (4)

from 16 to 25.

from 11-15.

from 1 to 10.

from 16 to 35.

Organize these statements into the right categories.

Cluster

Peak

Gap

Categorize

Options (4)

from 450-499.

from 250-299.

from 100 to 249.

from 300 to 499.

Organize these statements into the right categories.

Cluster

Peak

Gap

Categorize

Options (4)

peak

gap

cluster

outlier

Drag the correct word to fill in the blank.

56-60 is the ​_ .

There is a _ at 26-40.

There is a ​ _ from 41 to 60.

21-25 is the ​ _ .

Categorize

Options (4)

gap

peak

outlier

cluster

Drag the correct word to fill in the blank.

There is _ from 30 to 49.

1-9 is the _ .

50-59 is the _.

This is a _ from 1 to 29.

Categorize

Options (4)

There is a peak at 26-30.

There are 3 gaps.

There is a cluster at 1-5.

There is an outlier at 31-35.

Organize these statements into the right categories

Correct

Incorrect

Categorize

Options (5)

The shape is approximately symmetrical.

There are 2 peaks.

There is one cluster.

There is only a gap from 1-4.

This is a histogram with more spread.

Organize these statements into the right categories

Correct

Incorrect

Labeling

Drag a number to the box to answer the question.

Drag labels to their correct position on the image

Approximately Symmetrical

Skewed Left

Skewed Right

Labeling

Drag a number to the box to answer the question.

Drag labels to their correct position on the image

Skewed Right

Approximately Symmetrical

Skewed Left

Drag and Drop

Drag the correct word to the box to answer the question.

The ​

Placeholder

​ is 6. The ​ ​

Placeholder

is 13.

The ​ ​

Placeholder

is 10. The ​ ​

Placeholder

is 7.

Drag these tiles and drop them in the correct blank above

Quartile 1

maximum

range

median

minimum

Quartile 3

Drag and Drop

Drag the correct word to the box to answer the question.

The ​

Placeholder

is 3. The ​

Placeholder

is 6.

The ​

Placeholder

is 5. The ​

Placeholder

is 12.

Drag these tiles and drop them in the correct blank above

Quartile 1

maximum

median

minimum

Quartile 3

range

Drag and Drop

Drag the correct word to the box to answer the question.

The ​

Placeholder

is 22. The ​

Placeholder

is 19.

The ​

Placeholder

is 17. The ​

Placeholder

is 12.

Drag these tiles and drop them in the correct blank above

Quartile 1

maximum

range

median

minimum

Quartile 3

Drag and Drop

Drag the correct word to the box to answer the question.

The ​

Placeholder

is 44. The ​

Placeholder

is 42.

The ​

Placeholder

is 12. The ​

Placeholder

is 33.

Drag these tiles and drop them in the correct blank above

Quartile 1

Quartile 3

range

median

minimum

maximum

Categorize

Options (4)

The median is 25.

The upper quartile is 39.

The minimum is 15.

The range is 22.

Organize these statements into the right categories

Correct

Incorrect

Categorize

Options (4)

The lower quartile is 55.

The maximum is 58.

50% of the data is between 55 and 57.

The median is 57.

Organize these statements into the right categories

Correct

Incorrect

Categorize

Options (4)

The range is 26.

Quartile 1 is 83.

The median is 89.

The maximum is 96.

Organize these statements into the right categories.

Correct

Incorrect

Categorize

Options (4)

25% of the data between 1 and 4.

75% of the data falls between 4 and 13.

25% of the data falls between 8 and 13.

50% of the data is between 4 and 8.

Organize these statements into the right categories.

Correct

Incorrect