Question

The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 13. According to the standard deviation rule, only________ % of people have an IQ between 87 and 113. Do not round.

Answer 1

) nC (c) (A U B) (d) A U U (e) A g AU 4. Let U (1, 2, 3, 9h. Give examples to illustrate the following facts (a) If A C Band B g C, then ACC (b) A B B A (c) If U AU Band A B 0, it always follows that A U B (A x B) n (A xC) B Exercises 5. What can you say about A if U 11, 2, 3, 4, 5), B 12, 3, and (separately) (a) AU (1, 2, 3, 4h (b) An B 312) (c) A 13, 4, 5)

Answer:

) nC (c) (A U B) (d) A U U (e) A g AU 4. Let U (1, 2, 3, 9h. Give examples to illustrate the following facts (a) If A C Band B g C, then ACC (b) A B B A (c) If U AU Band A B 0, it always follows that A U B (A x B) n (A xC) B Exercises 5. W

Explanation:

) nC (c) (A U B) (d) A U U (e) A g AU 4. Let U (1, 2, 3, 9h. Give examples to illustrate the following facts (a) If A C Band B g C, then ACC (b) A B B A (c) If U AU Band A B 0, it always follows that A U B (A x B) n (A xC) B Exercises 5. W



Explanation:

Answer 2

According to the standard deviation rule, only 68% of people have an IQ between 87 and 113.

Explanation:

The Empirical Rule(Standard deviation rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 100

Standard deviation = 13

IQ between 87 and 113

87 is one standard deviation below the mean.

113 is one standard deviation above the mean.

So 87 is within one standard deviation of the mean. The empirical rule states that 68% of the people have an IQ between 87 and 113.

So the correct answer is:

According to the standard deviation rule, only 68% of people have an IQ between 87 and 113.