IQ Scores: Use the listed IQ scores. IQ tests are designed so that the mean IQ of the population is 100. Does the sample mean suggest that the sample is consistent with the population?

IQ: 96 89 87 87 101 103 103 96 127 126 101 96 93 88 94 85 97 114 113 124

First find the mean.

How to find the mean
Count the number N of data points in your data set.
Sum up the total of your data set; add them all together.
Average = Mean = Sum/N.an
Count = 20
Sum = 2,020
Divide 2020 by 20 = 101
your mean is 101 and that is consistant with the population

To determine whether the sample mean suggests that the sample is consistent with the population, we need to compare it to the population mean IQ of 100. Let's calculate the sample mean and evaluate it.

To find the sample mean, we sum up all the IQ scores and divide by the total number of scores. Let's calculate it step-by-step:

1. Add all IQ scores together:
96 + 89 + 87 + 87 + 101 + 103 + 103 + 96 + 127 + 126 + 101 + 96 + 93 + 88 + 94 + 85 + 97 + 114 + 113 + 124 = 1976

2. Count the number of IQ scores in the sample. In this case, there are 20 scores.

3. Divide the sum of IQ scores (1976) by the number of scores (20):
1976 / 20 = 98.8

The calculated sample mean is 98.8.

Now, to assess whether the sample mean suggests that the sample is consistent with the population, we compare it to the population mean of 100. Since the sample mean (98.8) is close to the population mean (100), it indicates that the sample is relatively consistent with the population. However, to make a more definitive conclusion, we would need to perform further statistical analysis, such as calculating standard deviation or conducting hypothesis testing.