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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 a student’s test scores for the 3rd nine weeks: 101, 94, 85,
54.
Example 3. Find the mean, standard deviation and range of 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10.
****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. How many deviations is 335 from the mean? 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. How many deviations is 13 from the mean? 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 from the mean?
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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