Big Ideas Math Integrated III
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Big Ideas Math Integrated III View details
1. Using Normal Distributions
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Exercise 3 Page 509

Use the given diagram of normal distribution and treat each grid as of the area below the normal curve.

See solution.

Practice makes perfect

We are asked to determine approximately what percent of data lies within one, two, and three standard deviations of the mean. To do so, let's take a look at the given diagram that presents a normal distribution.

We are given that each square on the grid represents This means we can count the number of squares that are within each interval and this number will represent the percent of the data we are looking for. Notice that we will need to approximate the result because in some cases the whole square is not shaded.

Now we are ready to find the appropriate percentages. Remember that each square represents

Interval Sum Percentage
One standard deviation of the mean
Two standard deviations of the mean
Three standard deviations of the mean

In normal distribution about of the data lies within about within and about within of the mean.