Find the indicated IQ score. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard
deviation of 15 (as on the Wechsler test).
The shaded area under the curve is 0.5675.

Using the Zscore formula, the indicated IQ score of the normally distributed data is 102.25

Recall :

Zscore = (Score - Mean) / standard deviation

0.17 = (Score - 100) / 15

15 × 0.17 = Score - 100

2.25 = score - 100

Score = 100 + 2.25

Score = 102.25

Therefore, the indicated IQ score is 102.25

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IQ score of 102.55

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score, measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value, which is also the shaded area under the curve, is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

The shaded area under the curve is 0.5675.

This means that Z has a pvalue of 0.5675.

So, we have to find X when Z = 0.17.

IQ score of 102.55

17 1/3

step-by-step explanation: