12783, 12784, 12785, 12790, 12792, 12795, 12799, 12811

What characteristics can we look at to tell whether this data is skewed?

180 Days of Ideas for Discussion in Math Class. (as of 9July2014, we're in overtime!)

Given the same numbers as yesterday:

What characteristics can we look at to tell whether this data is skewed?

12783, 12784, 12785, 12790, 12792, 12795, 12799, 12811

What characteristics can we look at to tell whether this data is skewed?

Given the numbers:

There are a lot of tricks and shortcuts, and of course, the pencil and paper add-em-up method of finding the average of a set of numbers.

What's your best way to get the average of those eight numbers?

12783, 12784, 12785, 12795, 12792, 12790, 12799, 12801

There are a lot of tricks and shortcuts, and of course, the pencil and paper add-em-up method of finding the average of a set of numbers.

What's your best way to get the average of those eight numbers?

The Counterfeit Bill problem (Sobel and Maletsky 1999).

*A customer enters a store and purchases a
pair of slippers for $5, paying for the purchase with a $20 bill. The merchant,
unable to make change, asks the grocer next door to change the bill. The
merchant then gives the customer the slippers and $15 change. *

*After the
customer leaves, the grocer discovers that the $20 bill is counterfeit and
demands that the shoe-store owner make good for it. The shoe-store owner does
so, and by law is obligated to turn the counterfeit bill over to the FBI. *

*How
much does the shoe-store owner lose in this transaction?*

I know how I would solve this problem, but not everyone is comfortable with algebra. Which ways can you come up with? Which seems the best to you?

There is a number such that, when it is subtracted from the numerator of the fraction $\dfrac{5323}{7577}$ and added to the denominator, the fraction reduces to $\dfrac{17}{83}$. Determine the number.

There is a number such that, when it is subtracted from the numerator of the fraction $\dfrac{5323}{7577}$ and added to the denominator, the fraction reduces to $\dfrac{17}{83}$. Determine the number.

100 students were surveyed about their preferences for bell peppers (capsicum), carrots and spinach, with the following results:

① 72 students said they like bell peppers, and 36 students said they like only bell peppers.

② 41 students said they like carrots, and 9 students said they like only carrots.

③ 31 students said they like spinach, and 3 students said they like only spinach.

④ 9 students said they like neither bell peppers, nor carrots, nor spinach.

What is the best way to model/analyze this survey data?

Graphically (and what type of graph)?

Tables? How?

Algebra?

source.

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