12 of 165 Items .... Course: STATS

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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In a set of data, can the outlier also be the mode or does a number stop being an outlier if it occurs often enough to be a mode?


.: [STATS], [T.R.Milne], [Notice, Wonder].

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Every year I give this graphic comparing the Doodle Jump stats for @ddmeyer and his friend Mike.




Give a couple of reasons why we could consider Dan the better player.
Give a couple of reasons why we could consider Mike the better player.

Qs? Outlier, average, max/min values, etc.


.: [STATS], [Dan Meyer], [How Many Ways?].

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Say you had data that told you that
The proportion of all US public school students whose families are low-income:
In 1989, less than \(\frac{1}{3} \)
In 2013, more than \(\frac{1}{2} \)

Interpret this in a positive way.
Interpret this in a negative way.


.: [STATS], [Alfie Kohn], [Explainer].

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Is money a discrete variable or a continuous one?


.: [STATS], [Curmudgeon], [Terminology].

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Scenario 1: Which winning number group is more likely to occur?


1-2-3-4-5-6 OR 4-8-15-16-23-42


Scenario 2: Which winning number group is more likely to occur if the numbers are drawn in any order and THEN put into ascending order by the presenter?

1-2-3-4-5-6 OR 4-8-15-16-23-42


In which of the above two scenarios is getting the winning numbers more likely?


.: [STATS], [Jeff Suzuki], [Comparisons].

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My employer has nine workers. The nine of us want to determine what our average salary is, but none of us wants to divulge his own salary. Can we find the average without doing so?


.: [STATS], [Futility Closet], [Create a Problem].

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Does this graphic work?



Does this graph rely too much on the reader's knowledge of the city? Is that a problem?


.: [STATS], [internet], [Graphicacy].

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You've all seen Plinko and its variations.  Here's one:




This one has a normal curve drawn on the background. Should it be a normal curve or more triangular like the arrangement of the pins?

Would it still be in this shape if the pins were arranged in a rectangle?


.: [STATS], [Curmudgeon], [Understandings].

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NY Daily News had this:


Government-hating gun owners are shooting themselves in the foot.

The gun-buying frenzy triggered by the 2012 Sandy Hook school shooting pumped $875 million into federal coffers in 2013 alone, according to Vocativ.com. That's because the Treasury's Alcohol and Tobacco Tax and Trade Bureau collects a 10% tax on ammo sales and a nearly 10% tax on gun sales. The tax revenue on guns and ammo reached an all-time high the year after the Sandy Hook Elementary School massacre, which left 27 students and teachers dead and triggered fears of stricter gun laws.

The roughly $255 million in tax revenue on ammunition alone brought in by the feds in 2013 was nearly double the 1991 tax receipts for handguns, long guns and ammo combined, according to Vocativ.





.: [STATS], [internet], [Graphicacy].

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.: [STATS], [internet], [Graphicacy].

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Can you explain how this is possible? Qatar is only 23.5% women?

Before we get into these issue-specific statistics, we can see in basic demographics something that’s different about living in Saudi Arabia as a woman: Only 42.5 percent of the population is female.

There are only five countries in the world (for which we have data) with a smaller percentage of female residents, according to the World Bank:

Qatar (23.5 percent of the population is female)
United Arab Emirates (29.9 percent female)
Oman (36.4 percent female)
Bahrain (37.8 percent female)
Kuwait (40.2 percent female)

Why might this disparity exist?

If you want to see a reasonable explanation, go to this page.


.: [STATS], [T.R.Milne], [Explainer].

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.: [STATS], [T.R.Milne], [Graphicacy].