Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Suppose a normal distribution has a mean of 16 and a standard deviation of 4.

A value of 26 is how many standard deviations away from the mean?

Answer 1

Answer: d) 2.5

Step-by-step explanation:

The mean is 16 so it has a z-score is 0

The standard deviation is 4 so:

• z-score of 1 is: 16 + 4 = 20
• z-score of 2 is: 20 + 4 = 24
• z-score of 3 is: 24 + 4 = 28

Notice that 26 is between the z-scores of 2 and 3 = 2.5

Algebraically: $\dfrac{26-16}{4}=\dfrac{10}{4}=2.5$