Unusual Values and Outliers

Note the data set of 15 points shown below. Mess around with this app below for a few minutes. Then answer the questions that follow.

In the app above, the length of an arrow is said to be the standard deviation of the data set. Describe what this term means again in your own words. [br][br][img width=136,height=44]https://lh6.googleusercontent.com/6jCsU2oNJr4iyqa-HTYklFTQP6xXyTFB-7u8UYgJyG9bnONX2YSHfUpm-Js0nEZoB0EusjYWCq133KFz_BVX7xKmRKKjdAzQp6gY0TstGOYAMTHnbPRnOgg9jjP3wgGICbHRedNG[/img]

In the app below, if a data value is found in either of these two regions, it is said to be an [b]unusual value[/b]. [br][br][img width=117,height=117]https://lh4.googleusercontent.com/4TGSttfW7x4rrHIkFOf0pNYFQC6SJ7soivEvrSSBcmQbFPgPRYNzZ9TrNtEM_aIRoNi0cw6TM7SK6k0YuaAQo9SKq01guchklt08TGIfiXoKQB9e33JLJwWbTQbR1Swy4IPFVavN[/img][img width=117,height=117]https://lh3.googleusercontent.com/5phwUx3xez8nLOF4PLur8FUims0vpjMS_L8TXNt6KkCUTVSD1iXDjO449wqVv4327bWQWpSkNFZ5tAGqH9ObUBQYF95BqSoN4IHibCfUq3y9e4sBMuEeNdv1H4M6VABuSsw-wSVW[/img][br][br]If an [b]unusual value[/b] is found specifically in [color=#666666][b]this region only[/b][/color], it is said to be an [b][color=#666666]outlier[/color][/b]. [br][img width=117,height=117]https://lh3.googleusercontent.com/5phwUx3xez8nLOF4PLur8FUims0vpjMS_L8TXNt6KkCUTVSD1iXDjO449wqVv4327bWQWpSkNFZ5tAGqH9ObUBQYF95BqSoN4IHibCfUq3y9e4sBMuEeNdv1H4M6VABuSsw-wSVW[/img]

In the app below, move the LARGE POINTS around to create a data set with EXACTLY ONE UNUSUAL VALUE that is AN OUTLIER.

In the app below, create a data set with ONE OUTLIER and ONE UNUSUAL VALUE THAT IS NOT AN OUTLIER.

Recall if a data value is found in either of these regions, it is said to be an [b]unusual value[/b]. [br][br][img width=117,height=117]https://lh4.googleusercontent.com/4TGSttfW7x4rrHIkFOf0pNYFQC6SJ7soivEvrSSBcmQbFPgPRYNzZ9TrNtEM_aIRoNi0cw6TM7SK6k0YuaAQo9SKq01guchklt08TGIfiXoKQB9e33JLJwWbTQbR1Swy4IPFVavN[/img]. [img width=117,height=117]https://lh3.googleusercontent.com/5phwUx3xez8nLOF4PLur8FUims0vpjMS_L8TXNt6KkCUTVSD1iXDjO449wqVv4327bWQWpSkNFZ5tAGqH9ObUBQYF95BqSoN4IHibCfUq3y9e4sBMuEeNdv1H4M6VABuSsw-wSVW[/img][br][br]Without Googling, how would you define the term [b]unusual value[/b] with respect to the [b]mean[/b] and [b][color=#ff00ff]standard deviation[/color][/b]?

Recall if an [b]unusual value[/b] value is found in [b][color=#666666]this region[/color][/b], it is said to be an [b][color=#666666]outlier[/color][/b]. [br][br][img width=117,height=117]https://lh3.googleusercontent.com/5phwUx3xez8nLOF4PLur8FUims0vpjMS_L8TXNt6KkCUTVSD1iXDjO449wqVv4327bWQWpSkNFZ5tAGqH9ObUBQYF95BqSoN4IHibCfUq3y9e4sBMuEeNdv1H4M6VABuSsw-wSVW[/img][br][br]Without Googling, how would you define the term [b][color=#666666]outlier[/color][/b] with respect to the [b]mean[/b] and [b][color=#ff00ff]standard deviation[/color][/b]?

Of the 15 data points below, what is the GREATEST NUMBER OF UNUSUAL VALUES (THAT ARE NOT OUTLIERS) you can create here?

What was the greatest number of [b]unusual values[/b] you were able to create in the app above?

Of the 15 data points below, what is the GREATEST NUMBER OF OUTLIERS you can create here?

What was the greatest number of [b][color=#666666]outliers[/color][/b] you were able to create in the app above?