Question
In: Statistics and Probability
Given the sample data. x: 21 19 15 30 27 (a) Find the range. Range =...
Given the sample data.
| x: | 21 | 19 | 15 | 30 | 27 |
(a) Find the range.
Range = 15
(b) Verify that Σx = 112 and Σx2 =
2,656.
| Σx | = | |
| Σx2 | = |
(c) Use the results of part (b) and appropriate computation
formulas to compute the sample variance s2 and
sample standard deviation s. (Round your answers to two
decimal places.)
| s2 | = | |
| s | = |
(d) Use the defining formulas to compute the sample variance
s2 and sample standard deviation s.
(Round your answers to two decimal places.)
| s2 | = | |
| s | = |
(e) Suppose the given data comprise the entire population of all
x values. Compute the population variance
σ2 and population standard deviation
σ. (Round your answers to two decimal places.)
| σ2 | = | |
| σ | = |
Solutions
Expert Solution
 |
 |
| 21 | 441 |
| 19 | 361 |
| 15 | 225 |
| 30 | 900 |
| 27 | 729 |
 |
 |
--------------------------------------------------------------------------------------------------------------------
 |
 |
 |
 |
--------------------------------------------------------------------------------------------------------------------
--------------------------------------------------------------------------------------------------------------------
|
|
 |
 |
| 21 | -1.40 | 1.96 |
| 19 | -3.40 | 11.56 |
| 15 | -7.40 | 54.76 |
| 30 | 7.60 | 57.76 |
| 27 | 4.60 | 21.16 |
 |
 |
--------------------------------------------------------------------------------------------------------------------
|
|
 |
 |
| 21 | -1.40 | 1.96 |
| 19 | -3.40 | 11.56 |
| 15 | -7.40 | 54.76 |
| 30 | 7.60 | 57.76 |
| 27 | 4.60 | 21.16 |
|
|
 |
orchestra answered 1 year agoRelated Solutions
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