Define basic statistical terms


Discuss the folllowing:

Grove, S. (2007). Statistics for health care research: a practical workbook. (1st ed.). St. Louis, MO: Elsevier. ISBN-13: 9781416002260 (Includes only Exercises 16, 29, 31, 36, 27 and 40) (Available as eBook in Canyon Connect)

Burns, N., & Grove, S. (2011). Understanding nursing research: Building an evidence-based practice. (5th ed.). St. Louis, MO: Elsevier. ISBN-13: 9781437707502 (Includes only chapters 9 and 11) (Available as eBook in Canyon Connect)

Define basic statistical terms and explain why statistics are useful in describing and simplifying data.

Explain graphical descriptions of data and how a frequency distribution is used to describe a dataset.

Calculate means and variances and use them to describe data and to describe the shape of the frequency distribution.

1. A formula for the sample mean is

a. µ =σ.n

b. M = ∑/n

c. M = s/n

d. µ = s/n

e. none of the above

2. A formula for the sample variance is

a. s = ∑X - M2

b. σ2 = ∑(X - µ)2/N

c. s2 = ∑(X - µ)2/N

d. s2 = ∑(X - M)2/(N - 1)

e. none of the above

3. A formula for the sample standard deviation is

a. s = s.n

b. M = ∑X/n

c. s = √s2

d. µ = s/n

e. none of the above

4. A computational formula for the sample variance is

a. s2 = s.n

b. S2 = ∑X2 - (∑X)2/N

c. s = √(s2)

d. µ = xs/n

e. none of the above

5. For the following sample of scores:

2, 6, 1, 4, 2, 2, 4, 3, 2

Find the mean, variance and standard deviation

6. A sample of size 7 (n = 7) has a mean of M = 9. One of the sample scores is changed from x = 19 to x = 5. What is the value for the new sample mean?

7. Using Excel create a histogram and a line graph using the scores in the following table:

X f
1 2
2 1
3 6
4 7
5 4
6 4
7 1
8 1

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