Statistics Find The Mean and Median Question 28.

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

What did you find was the mean of the sample IQ's?

Or maybe you don't know how to find the mean?

Study this: http://www.purplemath.com/modules/meanmode.htm

Find the mean by adding all of the numbers and divide by 20.

To find the mean and median of the given IQ scores, follow these steps:

1. Mean (Average): The mean is calculated by summing up all the IQ scores and dividing the sum by the total number of scores.
- Add all the scores: 96 + 89 + 87 + 87 + 101 + 103 + 103 + 96 + 127 + 126 + 101 + 96 + 93 + 88 + 94 + 85 + 97 + 114 + 113 + 124 = 1966
- Count the total number of scores: 20
- Divide the sum by the total number of scores: 1966 / 20 = 98.3
- The mean (average) IQ score is 98.3

2. Median: The median is the middle value when all the scores are arranged in ascending order. If there are two middle values, the median is the average of those two values.

- Arrange the scores in ascending order: 85, 87, 87, 88, 89, 93, 94, 96, 96, 96, 97, 101, 101, 103, 103, 113, 114, 124, 126, 127
- Since there are 20 scores, the middle values are the 10th and 11th scores (96 and 96)
- Average the two middle scores: (96 + 96) / 2 = 96
- The median IQ score is 96

Now, to analyze if the sample mean suggests that the sample is consistent with the population mean of 100:

- The sample mean is 98.3, which is below the population mean of 100.
- Thus, based on the sample mean, it suggests that the sample has slightly lower average IQ scores compared to the general population.

It's important to note that this conclusion is based on comparing the sample mean with the population mean. For a more accurate analysis, additional statistical tests, such as hypothesis testing, might be required.