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| Math Central | Quandaries & Queries |
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Hi, Consider the population of the first seven integers: 1, 2, 3, 4, 5, 6, and 7; N=7. For this population, mean = 2 and standard deviation = 2. Thank you, |
Hi Liz,
You need to check your calculations again. The mean of the population is 4 not 2.
For part a the number of samples of size 3 is the number of ways of choosing 3 things from 7 things, sometimes called 7 choose 3 and written 7C3. Do you know how to calculate this?
For b part you need to list all the samples you counted in part a. Do so in an orderly way. I would start
{1, 2, 3}, {1, 2, 4}, {1, 2, 5}, { 1, 2, 6}, {1, 2, 7},
{1, 3, 4}, {1, 3, 5}, {1, 3, 6}, {1, 3, 7},
...
{1, 6, 7},
{2, 3, 4}, {2, 3, 5}, {2, 3, 6}, {2, 3, 7},
...
For each sample in the list find the mean and median.
I hope this helps,
Penny
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