Question

A data set has a mean of 70.7 and a standard deviation of 6.2. The score of 69, is how many standard deviations away from the mean?

Answer 1

A score of 69 is approximately 0.274 standard deviations below the mean.

Step-by-step explanation:

To determine how many standard deviations away a score of 69 is from the mean, we need to calculate the z-score. The z-score measures how many standard deviations a data point is from the mean and is calculated by subtracting the mean from the data point and dividing by the standard deviation. In this case, the formula would be: (69 - 70.7) / 6.2 = -0.274.

So, a score of 69 is approximately 0.274 standard deviations below the mean.