Question

Suppose that IQ scores have a bell-shaped distribution with a mean of

Answer 1

Answer:

68 %

Step-by-step explanation:

The Empirical rule formula states that:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Mean of 96 and a Standard deviation of 17

Applying , the first empirical rule for 1 standard deviation from the mean, we have:

μ - σ

96 - 17

= 79

μ + σ

96 + 17

= 113

Therefore, the percentage of IQ scores that are between 79 and 113 is 68%