Answer :
The z-score for someone with an IQ of 125 in Group B is 0.58 (Option d).
To calculate the z-score, we use the formula: z = (x - μ) / σ, where x is the individual's IQ score, μ is the mean IQ of the group, and σ is the standard deviation of the group. In this case, x = 125, μ = 118, and σ = 12.
Plugging the values into the formula, we get: z = (125 - 118) / 12 = 7 / 12 = 0.58.
The z-score of 0.58 indicates that the IQ score of 125 is 0.58 standard deviations above the mean IQ of Group B. This means that the individual with an IQ of 125 is performing better than approximately 71.7% of the group, as z-scores can be interpreted as percentiles on a standard normal distribution.
Therefore, option d, 0.58, is the correct z-score for someone with an IQ of 125 in Group B.
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