1. ## Mean??

(1 pt) The distribution below shows the number of dogs per family in the United States.
Number of Dogs Proportion of Families
0 0.505
1 0.203
2 0.191
3 0.073
4 0.028
Using the corresponding strings of Random digits, simulate a sampling of 10 U.S. families and calculate the Mean Number of dogs in the sample.

(a) 08422 68953 19645 09303 23209 02560
Mean of the Sample:

(b) 99019 02529 09376 70715 38311 31165
Mean of the Sample:

how can i calculate the mean??

2. Originally Posted by makaveli89
(1 pt) The distribution below shows the number of dogs per family in the United States.
Number of Dogs Proportion of Families
0 0.505
1 0.203
2 0.191
3 0.073
4 0.028
Using the corresponding strings of Random digits, simulate a sampling of 10 U.S. families and calculate the Mean Number of dogs in the sample.

(a) 08422 68953 19645 09303 23209 02560
Mean of the Sample:

(b) 99019 02529 09376 70715 38311 31165
Mean of the Sample:

how can i calculate the mean??
Mean = $\displaystyle \sum_{i = 1}^{5} x_i \, p_i$ where $\displaystyle x_i$ is the number of dogs and $\displaystyle p_i$ is the proportion of families with $\displaystyle x_i$ dogs.

3. so what about the string random digits 08422 68953 19645 09303 23209 02560. what do they signify?

4. Originally Posted by makaveli89
(1 pt) The distribution below shows the number of dogs per family in the United States.
Number of Dogs Proportion of Families
0 0.505
1 0.203
2 0.191
3 0.073
4 0.028
Using the corresponding strings of Random digits, simulate a sampling of 10 U.S. families and calculate the Mean Number of dogs in the sample.

(a) 08422 68953 19645 09303 23209 02560
Mean of the Sample:

(b) 99019 02529 09376 70715 38311 31165
Mean of the Sample:

how can i calculate the mean??
You take blocks of three random digits and treat as a three digit random number in the range 0,1. Then use this to generate the number of dogs in a hypothetical family.

The cumulative probability for the dog distribution is given below in the third cloumn, this is what you need to simulate a number of families dog ownership statistics:

0 0.505 0.505
1 0.203 0.708
2 0.191 0.899
3 0.073 0.978
4 0.028 1.000

So our first random number is 0.0842 this is less than 0.505 so this family has 0 dogs.

The next random number is 0.226, again less than 0.595 so the second familly has 0 dogs

The next random number is 0.895, again less than 0.899 but greater than 0.708 so the second familly has 2 dogs

etc

This gives you a sample of family dog ownership statistics from which you should compute a mean.

CB