Find the cumulative distribution for the table. (Use a value of 6 to stand for 6 or more bedrooms.)
Number of Bedrooms Percent Cumulative
0 5% %
1 12% %
2 29% %
3 33% %
4 14% %
5 6% %
6 or more 1% %
looks like
5 17 46 79 93 99 100
To find the cumulative distribution for the given table, you need to add up the percentages for each category, starting from the first category and continuing to the last.
Let's calculate the cumulative distribution step-by-step:
1. For 0 bedrooms: The cumulative distribution for 0 bedrooms would be 5% because it's the first category.
2. For 1 bedroom: To find the cumulative distribution for 1 bedroom, you would add the percentage of 1 bedroom (12%) to the cumulative distribution of 0 bedrooms (5%). This gives us 17%.
3. For 2 bedrooms: To find the cumulative distribution for 2 bedrooms, you would add the percentage of 2 bedrooms (29%) to the cumulative distribution of 1 bedroom (17%). This gives us 46%.
4. For 3 bedrooms: To find the cumulative distribution for 3 bedrooms, you would add the percentage of 3 bedrooms (33%) to the cumulative distribution of 2 bedrooms (46%). This gives us 79%.
5. For 4 bedrooms: To find the cumulative distribution for 4 bedrooms, you would add the percentage of 4 bedrooms (14%) to the cumulative distribution of 3 bedrooms (79%). This gives us 93%.
6. For 5 bedrooms: To find the cumulative distribution for 5 bedrooms, you would add the percentage of 5 bedrooms (6%) to the cumulative distribution of 4 bedrooms (93%). This gives us 99%.
7. For 6 or more bedrooms: Since 6 or more bedrooms is the last category, its cumulative distribution will be simply the sum of all the previous percentages. To find the cumulative distribution for 6 or more bedrooms, you would add the percentage of 6 or more bedrooms (1%) to the cumulative distribution of 5 bedrooms (99%). This gives us 100%.
So, the cumulative distribution for the given table would be:
0 bedrooms - 5%
1 bedroom - 17%
2 bedrooms - 46%
3 bedrooms - 79%
4 bedrooms - 93%
5 bedrooms - 99%
6 or more bedrooms - 100%