Unit 8, Lesson 7
Areas under a Normal Curve
Algebra 2
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A distribution is approximately normal with a mean of 18 and a standard deviation of 4. Match the interval with the approximate percentage of data that falls within that interval.
less than 10
between 6 and 30
between 10 and 14
between 10 and 18
between 10 and 26
between 14 and 22
between 18 and 22
greater than 22
2.5%
13.5%
16%
34%
47.5%
68%
95%
99.7%
Tyler looks at this histogram of a distribution with a mean of 6.7 grams and a standard deviation of 1 gram. He claims that approximately 68% of the data is between 5.7 and 7.7 grams. What is the error in his thinking?
Histogram from 0 point 5 to 8 by 0 point 5’s. Weight in grams. Beginning at 3 up to but not including 8, height of each bar is point 0,1, point 0,1,5, point 0,2, point 0,3, point 0,6, point 1, point 1,3, point 2, point 2,3, point 2,4.
A normal curve with a mean of 400 and a standard deviation of 50 is shown. Shade the region under the curve within 2 standard deviations of the mean. How much of the data falls within the shaded region?
How many data points are presented in the histogram?
5
9
11
16