box and whisker and data

Multiple Choice

CFU8

• A

• B

• C

• D

Math Response

___xy^3

Type answer here

Correct Answer: 2

Deg^°

Rad

Boxplots

Graphical Representation of the 5-number summary

​Boxplots show the "five number summary" of the data, dividing the data into quarters (25%). From the left to right on the diagram: Minimum, first quartile (Q1), Median (Q2), third quartile (Q3), and maximum. Outliers, if present, are shown as separate dots or asterisks.

​

Math Response

y^5

Type answer here

Correct Answer: 40

Deg^°

Rad

Definitions:

Minimum: The lowest value of the data set

​

First Quartile (Q1): ​Middle of the lower half of the data set. 25% of the data lies below this value and 75% lies above.

​

Median: Middle of the data set. Half the data (50%) lies below this value and half (50%) lies above. ​

​

Third Quartile (Q3): Middle of the upper half of the data set. 75% of the data lies below this value and 25% lies above.​

​

Maximum: The highest value of the data set.

​

Reading & Creating Box & Whisker Plots

Boxplots

Graphical Representation of the 5-number summary

​Boxplots show the "five number summary" of the data, dividing the data into quarters (25%). From the left to right on the diagram: Minimum, first quartile (Q1), Median (Q2), third quartile (Q3), and maximum. Outliers, if present, are shown as separate dots or asterisks.

​

Definitions:

Minimum: The lowest value of the data set

​

First Quartile (Q1): ​Middle of the lower half of the data set. 25% of the data lies below this value and 75% lies above.

​

Median: Middle of the data set. Half the data (50%) lies below this value and half (50%) lies above. ​

​

Third Quartile (Q3): Middle of the upper half of the data set. 75% of the data lies below this value and 25% lies above.​

​

Maximum: The highest value of the data set.

​

​Two additional pieces of information that can be determined are:

​

The Interquartile Range (IQR) = Q3 - Q1

The Range = Max - Min​

​

These pieces of information will show the extent to which the data is located near the center or near the extremes of the data set.​

​

​

Measures of Spread

Match

Match the following terms with their definitions

• Minimum (Min)

• First Quartile (Q1)

• Median (Q2)

• Third Quartile (Q3)

• Maximum (Max)

The lowest value of the data set

Middle of the lower half of the data set. 25% of the data lies below this value and 75% lies above.

Middle of the data set. Half the data (50%) lies below this value and half (50%) lies above.

Middle of the upper half of the data set. 75% of the data lies below this value and 25% lies below.

The highest value of the data set

• The lowest value of the data set

• Middle of the lower half of the data set. 25% of the data lies below this value and 75% lies above.

• Middle of the data set. Half the data (50%) lies below this value and half (50%) lies above.

• Middle of the upper half of the data set. 75% of the data lies below this value and 25% lies below.

• The highest value of the data set

Multiple Choice

What do points B and D represent on the box plot?

• Mean and Mode

• Mean and Median

• Least and Greatest Value

• First and Third Quartiles

Multiple Choice

What do points A and E represent on the box plot?

• Mean and Mode

• Mean and Median

• Least and Greatest Value

• First and Third Quartiles

Multiple Choice

What does point C on the box plot represent?

• First Quartile

• Median

• Third Quartile

• Mean

Multiple Choice

What is the median of the data?

• 200

• 100

• 90

• 140

Multiple Choice

What value is the lower quartile?

• 66

• 58

• 60

• 64

Multiple Choice

What data value is the upper quartile (Q3)?

• 64

• 62

• 66

• 58

Multiple Choice

What is the minimum value?

• 64

• 58

• 66

• 60

Multiple Choice

What is the maximum value?

• 64

• 58

• 66

• 60

Multiple Choice

Now lets find the median, what do you do to find it?

• Cross off my numbers in pairs until I get one or two in the middle

• Add all of my numbers together

• Find the most common one

• Subtract the largest and smallest

Multiple Choice

.

• a

• b

• c

• d

Hotspot

,

Match

Match the following

• the team whose goals scored distribution has the largest interquartile range 

• the team whose goals scored distribution has the greatest mean

• the team whose goals scored distribution has the highest median

Cougars

Giants

Rangers

• Cougars

• Giants

• Rangers

Multiple Choice

.

• a

• b

• c

• d

Multiple Choice

.

• a

• b

• c

• d

Multiple Choice

.

• a

• b

• c

• d

Multiple Choice

.

• a

• b

• c

• d

Multiple Choice

.

• a

• b

• c

• d