Shape Center Spread and Variability

Shape, Center, Spread of Data

By Kaylie Eckhout

Find the median in a nonsymmetrical distribution. In a bell shaped or symmetrical the mean and median are the same thing.

​Center

Center and Spread of Data

To find the spread find the "Range" by subtracting your biggest and smallest numbers.

Spread

Multiple Choice

What is the median?

• The number in the middle

• The difference between the highest and lowest values

• The number that occurs the most

• The average

Multiple Choice

Find the Median of the data set

• 77

• 99

• 80

• 78.5

Multiple Choice

• both sets of data have the same median

• Ander's center is at 6

• Marcus's center is at 7

• Ander's spread is greater than Marcus's

Peak- the highest point of data

Cluster- a group of data together.

Clusters and Peaks

Multiple Choice

What is a peak on a graph.

• The highest point in a cluster.

• No point at all.

• The lowest point.

• All of the Above.

Multiple Choice

What is a Gap?

• A space in between data points

• That clothing company

• Two close together data points

Multiple Choice

What number is the peak?

• Less than 15

• 50

• Greater than 65

• 60

Multiple Choice

Describe the clusters in this distribution.

• There is a cluster from 16-21.

• There is no cluster because the data is all together.

​Shape

​Bell, Uniform, Symmetrical

​In this type of graph, the mean and the median are the same

​Shape

Skewed Right

​In this type of graph, the median is less than the mean

​Shape

Skewed Left

​In this type of graph, the median is greater than the mean

Multiple Choice

What is the shape of this bar graph?

• Skew right

• Skew left

• Symmetrical

• uniform

Multiple Choice

• skewed left

• skewed right

• symmetrical

Multiple Choice

Describe the shape of Daniel's data

• skewed left

• skewed right

• symmetrical

​Outlier

• ​An outlier is a value far from the rest of the data in a set

• ​Removing or adding an outlier will affect the range

• Removing or adding an outlier will not (most of the time) affect the median

• Removing or adding an outlier will affect the mean​