# Statistics and Probability

Using the numbers 1 to 6, using a number only once, create a graph and fill in the blanks to make them true. There are ___ bananas, ___ apples and ___ oranges.

There are ___ more apples than bananas.

There are ___ less oranges than apples.

There are ___ more oranges than bananas.

NOTE: I would suggest having this pre-printed for students and have numbers 1 to 6 printed on paper that students can use as a manipulative.

### Double Bar Graphs- 3rd Grade

Directions: Using the numbers 1-8 at most once each time, create a graph that represents the number of boys and girls participating in soccer, football, baseball and basketball.

1. Half as many boys play soccer than girls
2. The amount of boys in soccer is double the amount girls in football
3. Three times as many boys play baseball than girls in football
4. The total number of boys and girls in soccer equals the total number in basketball There are ___ girls and ___ boys in soccer.

There are ___ girls and ___ boys in football.

There are ___ girls and ___ boys in baseball.

There are ___ girls and ___ boys in basketball.

Directions: Using the numbers 0-9, without repetition for each case, create a set of points that have the following characteristics:

Non-linear Positive Correlation

(__,__) (__,__) (__,__) (__,__) (__,__)

Non-linear Negative Correlation

(__,__) (__,__) (__,__) (__,__) (__,__)

No Correlation

(__,__) (__,__) (__,__) (__,__) (__,__)

(__,__) (__,__) (__,__) (__,__) (__,__)

### Data and Standard Deviation- HS

Directions: Using the numbers 1 to 9, using each only once, create a data set of 5 numbers that fit the following criteria:

Mean = 5

Standard Deviation = 2.6

___ , ___ , ___ , ___ , ___

1. Create a data set with the same mean but a smaller standard deviation
2. Create a data set with the same mean but a larger standard deviation
3. Explain why your standard deviation changes but your mean remains the same
4. Explain what changes would happen if this is a sample of the population
5. What would happen to your mean and standard deviation if you added 20 to each of your initial data points?

### Data and Standard Deviation- HS

Directions: Using the numbers 1 to 9, using each only once, create a data set of 4 numbers that fit the following criteria:

The four numbers have the smallest possible standard deviation:

___ , ___ , ___ , ___

The four numbers have the largest possible standard deviation:

___ , ___ , ___ , ___

1. Is there more than one data set for either question?  If so, what is it?
2. How would allowing the use of repeat numbers effect the standard deviation?
3. What would your data sets look like if this was allowed?