Question

q10. for a set of glucose measurements, the mean was found to be 70 mg/100 ml with a standard deviation of 3 mg/100 ml. how many standard deviations away from the mean is a measurement of 75 mg/100 ml?

Explanation:

Step1: Find the difference from the mean

To find how far the measurement is from the mean, we subtract the mean from the measurement. So, \( 75 - 70 = 5 \) mg/100 mL.

Step2: Calculate the number of standard deviations

We know the standard deviation is 3 mg/100 mL. To find how many standard deviations 5 is, we divide the difference by the standard deviation. So, \( \frac{5}{3} \approx 1.67 \).

Answer:

\( \frac{5}{3} \) (or approximately 1.67) standard deviations.