Rainy day fun
the summer camp for kids staff is planning an indoor activity for the
campers to do on rainy days. they are considering a lego activity and
a finger painting activity. they send out a survey to all the kids who
will be coming to the camp to find out their preferences.
the staff organized the results of the survey in this table:
legos painting total
boys 37 | 8 | 45
girls 26 14 40
total 63 22 85
a table like this that displays data in rows and columns is
called a two-way frequency table.
what does this two-way frequency table tell us?
1. how many boys preferred legos?
2. how many girls preferred legos?
3. how many campers preferred painting?
4. how many girls responded to the survey?
5. how many campers responded to the survey?
the data in the middle of the table
are called the joint frequencies(37,26,8,& 14)
the data on the edges of the table are called the marginal frequencies
(
140 95 2263)

1. There are 37 boys that prefer Legos. Look in the "boys" row and "Legos" column to find the value 37.

2. There are 26 girls that prefer Legos. This is the same story as problem 1, except we're looking in the "girls" row now. The column is kept the same.

3. The answer here is 22. Look at the "painting" column and the "total" row to find the total number of people who prefer painting.

4. The total number of girls that responded to the survey is 40. Look in the "girls" row and the "total" column.

5. There are 85 total people who responded to the survey. Look at the bottom right hand corner where we are in the "total" row and "total" column. We refer to this as the grand total (in contrast to a subtotal such as 45 boys or a subtotal of 40 girls).

In summary,  

1.   37

2.   26

3.   22

4.   40

5. 85

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.