Homework Sourse1At what measurement of scale ie nominal interval ratio and
1.At what measurement of scale i.e nominal, interval, ratio and ordinal ? Analyze each variables e.g sex, smoking frequency, age and age category are measured based on nominal, interval, ratio and ordinal?
2. Are all three measures of central tendency relevant for the sex, smoking frequency ,age and age category. Analyze the variables and motivate your answer.
3.Are measures of variability relevant for all four variables? Analyze each variable.
Sex
Smoking frequency
Age
Age category
N
Valid
32374
14416
32374
32374
Missing
0
17958
0
0
Mean
1,57
2,07
46,36
2,57
Median
2,00
2,00
44,00
2,00
Mode
2
3
38
2
Std. Deviation
,495
,947
17,866
,918
Variance
,245
,897
319,211
,842
Range
1
2
67
3
Minimum
1
1
18
1
Maximum
2
3
85
4
| Sex | Smoking frequency | Age | Age category | ||
| N | Valid | 32374 | 14416 | 32374 | 32374 |
| Missing | 0 | 17958 | 0 | 0 | |
| Mean | 1,57 | 2,07 | 46,36 | 2,57 | |
| Median | 2,00 | 2,00 | 44,00 | 2,00 | |
| Mode | 2 | 3 | 38 | 2 | |
| Std. Deviation | ,495 | ,947 | 17,866 | ,918 | |
| Variance | ,245 | ,897 | 319,211 | ,842 | |
| Range | 1 | 2 | 67 | 3 | |
| Minimum | 1 | 1 | 18 | 1 | |
| Maximum | 2 | 3 | 85 | 4 |
Solution
1.
Nominal scales are used for labeling variables, without anyquantitative value. Here sex is the nominl scale
Ordinal scales, it is the order of the values is what’s important and significant, but the differences between each one is not really known. Here Age category is the ordinal.
Interval scales are numeric scales in which we know not only the order, but also the exact differences between the values.Here Age is the interval
Ratio scales provide a wealth of possibilities when it comes to statistical analysis. These variables can be meaningfully added, subtracted, multiplied, divided (ratios). smoking frequency.
2.
For sex variable, median >mean> mode,
For smoking frequency mean >median>mode, the plot is skewed rightly that is positively
For age, mean >median >mode, the plot is skewed rightly that is positively
For age category, mean >median >mode, the plot is skewed rightly that is positively
3.
