Super Interactive Data Displays Review

Measures of Center (What is Normal?)

​Mean: the average. Add all the numbers then divide by how many there were.

Median: the middle number when the data are in order least to greatest.

Range: the greatest number minus the least number.

Mode: the number that occurs most often.

Multiple Choice

Find the mean. 12, 12, 15, 16, 18, 18, 18, 20.

• 17

• 18

• 16

Multiple Choice

Find the median. 12, 12, 15, 16, 18, 18, 18, 20.

• 17

• 18

• 16

Multiple Choice

Find the mode. 12, 12, 15, 16, 18, 18, 18, 20.

• 17

• 18

• 16

Box and Whisker Plots: Split data into 4 groups.

Hotspot

The median (click near it)

Hotspot

Lower Quartile, Q1 (click near it)

Hotspot

Upper Quartile, Q3 (click near it)

How to make them

●Order data least to greatest.

●Find the median.

●Find the middle of the lower and
upper halves above/below the
median. Those are quartiles.

●Make a number line.

●Plot the minimum, lower quartile,
median, upper quartile, and
maximum values.

●Connect to make the “cat”.

Reorder

Let's make a box and whisker plot. Step 1: order the data from least to greatest.

These are the ages of people in a cafe:

44, 3, 41, 8, 32, 32, 17, 66, 61, 32​ ​ ​ ​

​

​

​

​

• 3
• 8
• 32

• 41
• 44

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Reorder

Let's make a box and whisker plot. Step 1: order the data from least to greatest.

These are the ages of people in a cafe:

44, 3, 41, 8, 32, 32, 17, 66, 61, 32​ ​ ​ ​

​

​

​

​

• 32

• 41

• 44
• 61

• 66

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Labelling

Let's make a box and whisker plot. Label each part:

Lower Extreme, 3

Lower Quartile (Q1), 17

Median (Q2), 32

Upper Quartile (Q3), 44

Upper Extreme, 66

Drag labels to their correct position on the image

Median (32)

3

Q3 (44)

66

Q1, 17

IQR or Interquartile Range

Measure of spread. How spread out is the
middle half of the data?

This makes the “box” of the plot. 50% of the
data are in this “box”.

Interpret them. Where is the spread? Top 25%? Bottom
half?

75% of the animals live 17.5 years or less. (Q3)

50% of the animals live more than 11 years. (median)

Drag and Drop

​

Placeholder

of the animals live ​

Placeholder

11 years.

Drag these tiles and drop them in the correct blank above

50%

less than

75%

Drag and Drop

​ ​

Placeholder

of the animals live ​ ​

Placeholder

17.5 years.

Drag these tiles and drop them in the correct blank above

75%

less than

50%

25%

Stem and Leaf Plots

Stem and Leaf Plots: Keys, back to back.

Open Ended

Make a key for the stem and leaf plot.

Use | (shift + \) to make the line between the stem and leaf.

Fill in the Blanks

Open Ended

What might the data represent (ex. ages, numbers of people at concerts, cost of shoes; make up your own.)

Random Sample

Can’t ask everyone?

Ask a small group that is like the big
group.

Everyone must be equally likely to be
asked. If they aren’t, your sample may be
biased.

Drag and Drop

You want to about how many New Mexicans plan to vote in the next election. You call and ask all New Mexicans who answer between 12:00 pm and 3:00 pm. This sample is ​

Placeholder

because everyone is ​

Placeholder

to answer at that time.

Drag these tiles and drop them in the correct blank above

biased

not equally likely

unbiased

Drag and Drop

You want to know about how many New Mexicans want a frozen yogurt shop at the mall food court. You ask every 10th person who enters the mall enterance and ask every day of the week at randomly chosen times. This sample is ​

Placeholder

because everyone is ​

Placeholder

to be asked.

Drag these tiles and drop them in the correct blank above

unbiased

equally likely

biased

not equally likely

Misleading Graphs: START at 0!

Look at graphs A and B. Graph B exaggerates the differences in temperature by starting at 98 degrees and counting in 0.5 degree steps.

Multiple Choice

Explain why this graph may be misleading?

• the x-axis does not have equal intervals

• San Fransisco is not a real city

• you cannot have percents in a line graph

• the y-axis does not have equal intervals

Multiple Choice

The graph shows the results of a survey to determine student's favorite pets. Why is this graph misleading?

• The slices are the wrong color

• The slices are not the correct size

• The percents do not add up to 100

• Not misleading

Multiple Choice

What is misleading about this graph?
**choose the best answer

• Nothing is misleading about this graph.

• The democrats are too high.

• The y-axis does not start at zero, so it makes the democrats look much higher than the other two parties.

Open Ended

It looks like this company is making mad profit! Why is the graph misleading?

This graph is misleading because __________.

Their profit is actually _____________.