Statistical Question
Is this a statistical question? Why?
How old is Mr. Smith?
Yes, it varies by person.
Which graph uses an "X" to represent each piece of data?
Line Plot.
Find the Mode: {5, 9, 5, 12, 15}
5
What is the Range of: 10, 20, 30, 40?
30 (40 - 10)
Change "What is 5+5?" into a statistical question?
"How long does it take each student to solve 5+5?"
On a Stem-and-Leaf, what value does a Stem of 3 and Leaf of 0 represent?
30
Find the Median: {22, 18, 25, 20, 22}
22. (Ordered: 18, 20, 22, 22, 25).
If the lowest score is 60 and the Range is 35, what is the highest score?
95 (60 + 35)
What makes a question "Statistical"?
It must involve a group and have a variable/different answer.
You have data: 12, 13, 13, 14, 25. Which graph shows the outlier better?
Stem-and-Leaf (or Line Plot, but Stem-and-Leaf is better for seeing the gap between 14 and 25)
Find the Mean: {10, 20, 30, 40}
25 (100 / 4= 25)
If the Mean of 3 numbers is 10, what is the sum of those 3 numbers?
30 (If Sum \ 3 = 10, then Sum = 30)
Create a statistical question that would result in a numerical data.
Any question where the answer is a number (e.g., "How many hours of TV do you watch?").
True/False: You can find the Median just by looking at a Stem-and-Leaf plot.
True. Since the data is already in numerical order on the plot, you just count to the middle leaf.
Find the Median of this even set: {10, 20, 30, 40}
25 (The middle is halfway between 20 and 30)
In the set {5, 5, 10, 20}, which measure is the largest: Mean, Median, or Mode?
Mean (Mean = 10, Median = 7.5, Mode = 5)
Which of these questions would best be answered using a Stem-and-Leaf plot?
A) What is the favorite pizza topping of the 5th grade?
B) How many miles did each teacher drive to work today?
The Answer is B. Why? Because pizza toppings are categorical (you can't make a stem-and-leaf plot out of "Pepperoni"), while miles are numerical.
Create a Stem-and-Leaf for: 7, 11, 15, 12, 8. (Must include the 0 stem!)
Stem 0: 7, 8 | Stem 1: 1, 2, 5. (Remind them the "0" stem is for single digits!)
Find the missing number: The Mean of 3 numbers is 8. Two numbers are 7 and 10.
7 (If Mean is 8, the total must be $8 \times 3 = 24$. $24 - 17 = 7$)
A set has a Mean of 10. If you add a "10" to the set, what happens to the Mean?
It stays exactly the same (If you add a value equal to the Mean, the average does not change)