The smallest percentage of IQ scores fall into the: slow...

The smallest percentage of IQ scores fall into the: slow learner and superior range. moderate to severe disability range. average range. mild intellectual disability and gifted range.

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00:01 Students in this question.

00:02 People with iq score of 50 to 70 are considered have mid -mental retardation.

00:07 The percentage of people in this range can be found using the standard normal distribution table or calculator.

00:14 So as iq scores are normally distributed with mean of, here the mean is, here the mean is equal to 100 and standard deviation is, standard deviation is 15.

00:29 So first we need to convert the iq scores of z -scores.

00:32 Here z1 equal to 50 minus 100 divided by 15 equal to minus 3 .33 and z2 equal to 70 minus 100 divided by 15 equal to minus 2.

00:48 Now we can find the percentage of people in this range by finding the area under the standard normal curve between these two curves.

00:55 So using standard normal distribution, we find that probability of minus 3 .33 less than z less than minus 2 it is equal to probability of z less than minus 2 minus probability of z less than minus 3 .33.

01:14 It is equal to 0 .0228 minus 0 .0004.

01:22 It is equal to 0 .0224.

01:25 Approximately it is 2 .24 percentage of people, of people fall in this range.

01:32 Fall in this range.

01:39 And to find the percentage, here to find the percentage of a person with an iq score of 66.

01:52 We first convert the iq score into z -score.

01:57 Here z -score equal to 66 minus 100 divided by 15 equal to minus 2 .27...

Question

The smallest percentage of IQ scores fall into the: slow learner and superior range. moderate to severe disability range. average range. mild intellectual disability and gifted range.

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