Question

18

29
40
51
62
73
84
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Based on the graph of this normal distribution,

a. The mean is
51
Correct.

b. The median is
51
Correct.

c. The mode is
51
Correct.

d. The standard deviation is
.

Answer 1

The normal distribution provided has a mean, median, and mode of 51. The standard deviation is identified by the distance between the mean and the inflection points of the curve, which is 11 units.

Step-by-step explanation:

The mean, median, and mode of a normal distribution are all equal, and given the symmetric nature of the graph provided, they are all 51. Since the question indicates that these values are correct, we know we're dealing with a normal distribution centered around 51.

The normal distribution provided has a mean, median, and mode of 51. The standard deviation is identified by the distance between the mean and the inflection points of the curve, which is 11 units.

To get the standard deviation, we look for the distance from the mean to the inflection points of the curve, which typically represent one standard deviation from the mean in a normal distribution. These inflection points on the graph occur every 11 units (i.e., from 18 to 29, 29 to 40, etc.). Therefore, the standard deviation is 11.