Answers:
- B) 0
- A) 27
- D) 50
- See the diagram below.
- C) 143
================================================
Explanations:
- Refer to the top left corner of the table. This is the intersection of the "less than 1 year" column and "antlers" row.
- Add up everything in the "1 year or older" column to get 12+15 = 27.
- There are 0+12 = 12 deer with antlers, and 23+15 = 38 deer with no antlers. I'm adding across the rows. This in turn means there are 12+38 = 50 deer total. You could also add across the columns, meaning we have 0+23 = 23 deer less than 1 years old, and 12+15 = 27 deer that are 1 year or older. So we have 23+27 = 50 deer total.
- The explanation is lengthy. There's not much room here so I'll explain in the section below. Refer to the table below as well.
- Dividing everything by 143 will help us get the values into percentages. For instance, 62/143 = 0.4336 = 43.36% approximately represents the number of people who wear a belt and also wear a watch (top left corner).
-----------
Explanation for problem 4
We have 68 people who split the check out of 122 total. That leaves 122-68 = 54 people who don't split the check. These two values are the row totals for rows 1 and 2 in that order. So you'll have 68 at the end of row 1, and 54 at the end of row 2. Refer to the diagram below.
We have 56 people who prefer to skip dessert, meaning 122-56 = 66 people who order desert. We'll have 66 followed by 56 along the first two items in the bottom row. The grand total 122 is in the bottom right corner. The 122 is both in the total row and total column.
Then we're told that 50 people order desert and split the check. We had 68 people split the check, leaving 68-50 = 18 people who split the check, but didn't get dessert. For the first row, we have the values 50, 18, and 68. Note that 50+18 = 68.
In the second row, we must have the values 16, 38, and 54 in that order. The blank spaces are filled in using the same ideas as I've discussed in previous paragraphs.
The terms in gray boxes represent the totals, which would be left out when forming the table in your final answer. Meaning you'll have a 2x2 table instead of a 3x3 table.
