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Algebra Two, Statistics Unit Day 4
Name: ________________________ Date: _____________
CALCULATIING STANDARD DEVIATION
Standard deviation is the square root of the ______________________. In the above example, the variance is ______.
The __________________ of the data is the highest value minus the lowest value.
Example 2. Find the mean, standard deviation and range of 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10.
Example 3. Find the mean, standard deviation and range of a student’s test scores for the 3rd nine weeks: 101, 94, 85,
54.
****Then will show students how to complete these two calculations on the TI.
Example 4. Here are the scores for a recent statistics test. Enter this data into list 1 of your graphing calculator.
Example 5. Determine the number of standard deviations that includes all data values. The mean test score on a
standardized test is 216; the standard deviation is 52. Data Values: 127, 98, 236, 192, 267, 335, 217, 365, 472, 177
Algebra Two, Statistics Unit Day 4
Name: ________________________ Date: _____________
HOMEWORK: CALCULATIING STANDARD DEVIATION
1. Find the mean, standard deviation and range of the following sets of data:
a. 232, 254, 264, 274, 287, 298, 312, 342, 398
b. 2.2, 2.2, 2.3, 2.4, 2.4, 2.4, 2.5, 2.5, 2.5, 2.6
2. Determine the number of standard deviations that includes all data values. The mean age of students in a school is
16.4 years; the standard deviation is 1.5. Data Values: 13, 17, 18, 15, 16, 14, 15, 18, 17, 16, 15, 16, 13
3. The average rainfall for the month of April for several Eastern cities is as follows: 3.0, 3.4, 4.3, 3.6, 3.6, 2.9, 2.8,
3.9, 2.8, 2.9, 4.5, 3.8, 4.2, 3.6, 4.0, 2.9, 3.1
a. Find the mean, standard deviation and range of the data.
b. Within how many standard deviations is rainfall of 2.8 inches?
c. Within how many standard deviations is rainfall of 4.0 inches?
4. The test scores on a college algebra test are as follows: 67, 69, 71, 75, 78, 78, 83, 85, 85, 85, 85, 86, 87, 89, 92, 95,
98, 98, 98, 100, 100, 100, 100, 100, 100.
a. Within how many standard deviations of the mean is a score of 65? (Hint, you have to calculate the
standard deviation first!)
b. Within how many standard deviations of the mean is a score of 100?
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