### Interpreting Data- 3rd Grade

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.

- Half as many boys play soccer than girls
- The amount of boys in soccer is double the amount girls in football
- Three times as many boys play baseball than girls in football
- 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.

### Correlation- 8th grade

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

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

Quadratic 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

___ , ___ , ___ , ___ , ___

- Create a data set with the same mean but a smaller standard deviation
- Create a data set with the same mean but a larger standard deviation
- Explain why your standard deviation changes but your mean remains the same
- Explain what changes would happen if this is a sample of the population
- 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:

___ , ___ , ___ , ___

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