Question

algebra i b-cr
pre-test complete
1 2 3 4 5 6
time
5
the graph shows a distribution of data.
what is the standard deviation of the data?
0.5
1.5
2.0
2.5

Explanation:

Step1: Identify mean of distribution

The peak of the normal curve is at $\mu = 2$, which is the mean.

Step2: Find 1σ from mean

In a normal distribution, the points where the curve changes concavity (inflection points) are at $\mu \pm \sigma$. The inflection points are at $1.5$ and $2.5$.

Step3: Calculate standard deviation

Subtract mean from upper inflection point:
$\sigma = 2.5 - 2$

Answer:

0.5