Aset of data is normally distributed with a mean of 455 and a standard deviation of 25. what percent of the data is in the interval 405–455? a. 47.5% c. 68.3% b. 49.85% d. 34.15%

From the problem, we can say that it is a normal deviation so we should use the normal distribution curve.

First, calculate the z-score of the intervals 405 and 455.
SD = 25
Mean = 455

z-score = (x-mean)/SD
z-score of 405 = (405-455)/25 = -2
z-score of 455 = (455-455)/35 = 0

The z-score of 0, 0 is 0.5 and the z score of -2, 0 is 0.0228.

So to get the percentage, subtract 0.5 with 0.0228
0.5 - 0.0228 = 0.4772
Convert 0.4772 to percent
= 47.72%

Closest to 47.72 % is letter A.

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.

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