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Description
Week 3 Assignment: Standard Deviation
| Week | Assignments | Due Date |
| Week 3 | Graded Discussion | Suggested Due Date—
Initial Post: Wednesday of Week 3
Due Date— Responses: Sunday of Week 3 [Have two posts on two different days] |
| Knewton Homework Assignments
Measures of Central Tendency (Section 2.3) Understanding Measures of Central Tendency (Section 2.3 & 2.4) Distribution Shape (Section 2.6) Standard Deviation (Section 2.7) Quartiles and Box Plots (Section 2.2) |
Sunday of Week 3 | |
| Lab #1—Displaying Data | Sunday of Week 3 |
Objectives
3.4 Standard Deviation
- Compute variance and standard deviation
- Understand the standard deviation of a set of data
Activity 1
Question
Which of the following lists of data has the smallest standard deviation?
Activity 2
Question
For the following dataset, you are interested to determine the “spread” of the data.
Would you employ calculations for the sample standard deviation, or population standard deviation for this dataset:
Ages of all students in a Statistics course with an enrollment of 30 students.
Activity 3
Question
The data below are the heights in feet of five trees from a plant nursery. Find the sample variance of the height.
6, 8, 7, 11, 3.
- Round the final answer to one decimal place.
Activity 4
Question
Using the following set of data (the same as in the previous problem), find the sample standard deviation of the heights of the trees: 6, 8, 7, 11, 3.
The sample variance of this data set is 8.5.
- Round the final answer to one decimal place.
Activity 5
Question
Which of the data sets represented by the following histograms has the smallest standard deviation?
Activity 6
Question
Which of the data sets represented by the following histograms has the smallest standard deviation?
Activity 7
Question
The data sets below include four random samples of pulse rates, in beats per minute, for 7 individuals. Use the range rule of thumb to find an estimate for the standard deviation, then determine which sample has the smallest amount of variation.
| Sample 1 | 64,78,54,102,76,86,56 |
| Sample 2 | 100,90,70,70,78,70,94 |
| Sample 3 | 70,66,50,72,66,64,54 |
| Sample 4 | 78,36,102,68,66,56,70 |
Activity 8
Question
The following data values represent the daily amount spent by a family during a 7 day summer vacation.
Find the sample standard deviation of this dataset:
$96, $125, $80, $110, $75, $100, $121
- Round the final answer to one decimal place.
Activity 9
Question
The following datavalues represent the daily amount spent by a family during a 7 day summer vacation.
Find the population standard deviation of this dataset:
$96,$125,$80,$110,$75,$100,$121
(Round your answer to 1 decimal place).
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