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Answer :
Range of Usual IQ Scores: (53, 77), Range of Unusual IQ Scores: All IQ scores below 53 and above 77. Let's determine:
The range of usual IQ scores is defined as the range within one standard deviation from the mean. In this case, the average IQ is 65 with a standard deviation of 12. Therefore, the range of usual IQ scores can be calculated by adding and subtracting one standard deviation from the mean.
First, calculate one standard deviation:
Standard Deviation = 12
Range of Usual IQ Scores: (Mean - Standard Deviation, Mean + Standard Deviation)
= (65 - 12, 65 + 12)
= (53, 77)
This means that IQ scores within the range of 53 to 77 can be considered usual or typical.
The range of unusual IQ scores is defined as the range beyond one standard deviation from the mean. Therefore, we can calculate the range of unusual IQ scores by considering scores outside the usual range.
Range of Unusual IQ Scores: All IQ scores below 53 and above 77
To summarize:
- Range of Usual IQ Scores: (53, 77)
- Range of Unusual IQ Scores: All IQ scores below 53 and above 77
It's important to note that the terms "usual" and "unusual" are relative to the specific distribution of IQ scores and the chosen cutoff points. Different criteria or cutoffs may result in different ranges for usual and unusual IQ scores.
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