2012 AEA 267 6th Grade Math Bee Statistics and Probability I-4 ...

2012 AEA 267
6 th Grade Math Bee
Statistics and Probability
I-4
Name__________________________________________
School_________________________________________
Student Number______________________________
Score
1. You started walking to class and then you paused to talk to a friend. When you
realized you might be late you walked more quickly the rest of the way to class.
Which graph below would best represent the above story about walking from your
locker to your classroom (Write the letter of the correct choice on the answer
space provided.)
1. _____________
2. A snack bar sells 5 items with the mean (average) price of $0.60, as show below.
Which pair of items could be added to the menu with out changing the average
price (Write the letter of the correct choice on the answer space provided.)
2. _____________
A. Banana ($0.60) and Pop ($0.75)
B. Banana ($0.60) and Energy Bar ($.50)
C. Cookie ($0.45) and Energy Bar ($0.50)
D. Cookie ($0.45) and Pop ($.75)

3. Christine found the mean and median of this list of numbers: 2, 4, 5.
If the number 6 were added to the list, then the… (Write the letter of the correct
choice on the answer space provided.)
3. _____________
A. median would decrease
B. mean would decrease
C. median would increase
D. mode would increase
4. Lori’s school is selling T-shirts as a fundraiser. The only color choices of T-shirts are
red, white, or blue. Shirts of each color are available in sizes small, medium, large,
and extra large. Lori will randomly select one shirt from a shelf. If the shelf contains
equal numbers of shirts in each color and size, what is the probability that Lori will
select a large shirt (Write your answer as a fraction in lowest terms.)
4. _____________
5. The mean of the increasing ordered set of numbers, {12, x, 28}, is equal to the
median. What is the value of x
5. x = _________
6. There are five people in a family and their average age is 20. What might their ages
be (Write the letter of the correct choice on the answer space provided.)
6. _____________
A. 35, 32, 16, 12, 5
B. 20, 25, 3, 2, 1
C. 38, 30, 15, 8, 6
D. both A and C
7. A bag contains six number tiles. The numbers in the bag are 3, 7, 8, 9, 13, and 15. If a
tile is randomly drawn from the bag, what is the probability of picking an odd
number (Write your answer as a percent rounded to the nearest whole percent.)
7. __________ %
8. Four gray marbles, two white, and one black marble are placed in a bag. If three
more black marbles were added to the bag, what would be the probability of
drawing a black marble (Write your answer as a fraction in lowest terms.)
8. _____________

9. Brandon counts the grasshoppers in the garden on Monday. He finds 29 big ones
and 9 small ones. On Tuesday he counts them again. This time he counts a total of
84 grasshoppers. What is a reasonable prediction to make as to how many of the
grasshoppers were larges ones when he counted them on Tuesday (Write the
letter of the correct choice on the answer space provided.)
9. _____________
A. 29 large grasshoppers
B. 64 large grasshoppers
C. 76 large grasshoppers
D. 42 large grasshoppers
10. Which statement below is valid about the amount of fruit sold during the two days
represented in the graph below (Write the letter of the correct choice on the
answer space provided.)
10. _____________
A. More than 10 kilograms of each type of fruit was sold each day.
B. There were more oranges sold than any other type of fruit.
C. During the two-day period there were more Mangos sold than Papaya.
D. There was more total fruit sold day 1 than was sold day 2.