Consider a portion of FaMuss dataset below from a study related to human muscle size and strength:

Subject

ndrm.ch

sex

age

race

height

weight

actn3.r577x

bmi

1

40

Female

27

Caucasian

65

199

CC

33.112

2

25

Male

36

Caucasian

71.7

189

CT

25.845

3

40

Female

24

Caucasian

65

134

CT

22.296

4

125

Female

40

Caucasian

68

171

CT

25.998

5

40

Female

32

Caucasian

61

118

CC

22.293

6

75

Female

24

Hispanic

62.2

120

CT

21.805

7

100

Female

30

Caucasian

65

134

TT

22.296

8

57.1

Female

28

Caucasian

68

162

CT

24.629

9

33.3

Male

27

Hispanic

68.2

189

CC

28.566

10

20

Female

30

Caucasian

62.2

120

CT

21.805

11

25

Female

20

Caucasian

69

131

CT

19.343

12

100

Female

23

African Am

62

108

CT

19.751

13

28.6

Female

24

Caucasian

67.2

158

TT

24.597

14

7.1

Male

50

Caucasian

73

233

CT

30.737

Subject: Participant # (in no specific order?this is not a variable)

sex: Sex of the participant

age: age in years

race: race of the participant

height: Height in inches

weight: Weight in pounds

actn3.r577x: Genotype at the location r577 in ACTN3 gene

ndrm.ch: Percent change in the strength in the non-dominant arm, comparing strength after to before training

bmi: The body mass index

1. Each row in the table above corresponds to a single subject or a study participant (observational unit). The recorded characteristics for each observational unit are referred to as ___________

2. Each column in a data matrix corresponds to a ________________

3.List the variables used in FaMuss dataset

4. List the numerical variables in FaMuss dataset

5. Numerical variables take ______________values.It is reasonable to add ,____________, or take ____________of these values

6. Name the two types of numerical variables:

(i)

(ii)

7. Age is a ______________variable, and percent change in the strength in the non-dominant arm, ndrm.ch, is a _____________variable

8. List the categorical variables in the FaMuss dataset

9. Categorical variables take on values that are ___________or ________________

10. ______________ categorical variables are categorical variables without a natural ordering.

11. List the nominal categorical variables in the dataset FaMuss

12.______________ categorical variables are categorical variables with a natural ordering.

13. If the age of the participants is grouped into 5-year intervals, 15-20, 21-26,

27-32 etc., age will be considered an ____________categorical variable

14. Name the two commonly used measures of center:

(i)

(ii)

15. The label or the symbol for a sample mean is: __________(read as "x-bar")

16. The label or the symbol for the mean of the entire population is: _______

read as "mu".(To insert the symbol for "" in Word, Insert>Symbols> Click on "mu")

17. Find the mean age of the first five study participants in dataset FaMuss.

18. The median is a ____________ _____________of a distribution after the values have been ordered from ______________to ____________. _______% of the data values are below the median and _______% of the data values are above the median, hence median is at the 50^th percentile.

19. Find the median age of the first five study participants in dataset FaMuss.

.

21. Consider the ages of kids in the two groups:

(a) the ages of kids on a playground: 2, 1, 12, 6, 10

(b) the ages of kids in a preschool: 3, 4, 3, 3, 4

Comparing the spread in the ages of kids in groups (a) and (b), the ages of kids in group __________have a smaller spread (values are closer to each other), compared to the ages of kids in group ________

20. The _________of a distribution refers to how similar or varied the values in the distribution are to each other

22. The _____________ ________for a set of data describes the typical (or an average) distance between an observation and the mean, and it is used to measure the spread in the data

23. The sample standard deviation is the ____________________of variance

23. ______________is the distance between a single observation and the mean.

24. Complete the following table:

Statistical measure

Symbol

Sample Mean

(pronounced "mu")

Sample Variance

s²

s

Population variance

?² (pronounced sigma-squared)

?

*We will use Minitab to calculate the measures of the center and the spread in the data.

25. What does it mean when a height of a boy in the fifth grader is at the 90^th percentile?

26.

I.The first quartile, Q₁ is equivalent to the __________percentile

II.The second quartile, Q₂ is equivalent to the __________percentile (The second quartile, Q₂, is represented by the median)

III.The third quartile, Q₃ is equivalent to the __________percentile

27. The difference between the third quartile and the first quartile (Q₃ - Q₁) is known as the _________________ range (IQR).

28. The ____________percent of data is included between the first quartile, Q₁, and the third quartile, Q₃

29. The Interquartile Range (IQR) can be used to measure the _______________ in a data

30.The measures of ________and _____________ are used to numerically summarize the data.

31. List the numbers used for the 5-number summary of data

32. With Minitab, calculate the mean, the median, the standard deviation (SD) and interquartile range (IQR) for the datasets 1 and 2:

Dataset 1: 5, 7, 10, 12, 16, 15, 14

Dataset 2: 0, 2, 10, 13, 1000, 15, 16 (Notice the presence of the extreme values)

Open Minitab>Manually Enter the numbers in C1 and C2> Stat>Basic Statistics>Display Descriptive Statistics>Double Click C1 Set 1>Double click C2 Set 2> Statistics>Select Mean>Standard deviation>Median>Interquartile Range>OK>OK>Click on Minitab output>Right click>Copy as a picture>Copy results below

Boxplot: One Y, With Groups X Subject Graph vriahlers height bright weight (Categorical variables for grouping [1-4, outermost first]: Labels. Data View.. Select Multiple Graphs. CancelBoxplots One Y Simple With Groups Multiple Y's Simple With Groups A Y1 Y2 Help OK CancelC1 C2 Set 1 Set 2 5 10 10 12 13 16 1000 15 15 14 16Bought of weight Quilty Took Bradley 'SunialTally Individual Variables Subject Varinblog: nurm.ch 4808000 height weight octn3.1577 bri Tally Tally_1 Display C12 Tally Count C13 Tally 3 Tally CIS Tally Cumulative counts Icumulative percents Select store moduleMinitab . Untitled File Edit Data Cate Sat Graph View Help Assistant Additional Too's Display Descriptive Statistics. ANONA Graphical Summary. Hargle L Hargle L. Harget 11Display Descriptive Statistics By variables (optional): Help CancelDisplay Descriptive Stat Meon SE of meon Standard deviation Variance Coefficient of variation First quartile 17 Median Third quartile Interquartile range ModeHistogram of BloodGlucose BO 100 120 140 160 180 200 220 240 20 19 20 15 15 Frequency 10 10 3: 7 1 BO 10 0 120 140 160 180 200 220 240 BloodGlucoseSkewed and Symmetric Data N 3 5 6 A B 8 6 4 2 Frequency C 6 Data set A: Mean = 2.64, Median = 2.00 Data set B: Mean = 4.36, Median = 5.00 Data set C: Mean = 3.00, Median = 3.00 ON 2 3 6F - Untitled File Edit Dia Cake Sik Gogh Yew Help Assistant Motor Navigster To Bubble Plot. A Probability Distribution PlotHistogram: Simple Subject Graph variables: ndirm. ch hmi C4 age C6 height mi