a. The different levels that a quantitative variable uses to describe its properties are
Measures of central tendency: mean, median, mode.
Measures of dispersion: range, variance, standard deviation, coefficient of variation.
Measures of the distribution: skewness, kurtosis.
Graphic representations: histograms and box plots, for
b. Ordinal variables allow ranking (order) objects, indicating which of them to a greater or lesser extent have the quality expressed by the variable. However, they do not allow us to say "how much more" or "how much less." Ordinal variables are sometimes also referred to as ordinal. A typical example of an ordinal variable - family socioeconomic status (Cohen et al, 2002, 113). We understand that the upper-middle level above the average, however, say that the difference between them is, say, 18%, we cannot. The very location of the scales in the following order: nominal, ordinal, interval is a good example of an ordinal scale.
c. The different levels of measurement
Virtually all the works concerned with quantitative methods in psychology reserve a special place to the notion of different levels of measurement. According to this view, the measurement of a phenomenon can be done using four scales with properties very different: the nominal scale, ordinal scale, the scale of equal intervals and the wide proportions. Stevens has championed a strict position that the level of measurement used determines the type of statistical analysis it is possible to do on the data (Chernoff et al, 2004, 101).
The nominal scales are actually very poor in information and only allow analysis based on frequency, so it is best to avoid nominal values ??...
Ordinal scales, contrary to what one might think, are very rare in psychology. For example, questionnaires that use Likert-type scales generally yield total scores that are much richer than just lining up.
Most measures are considered psychological measures at regular intervals, although the demonstration of this property is not always obvious.
In practice, a continuous measure (which can take many values) is deemed to have equal intervals and therefore permits the use of parametric statistics.
The measures to scale proportions are very rare in the assessment of psychological phenomena. The condition of zero is not found in the fact that in the measurement of physical properties.
2.
Descriptive Statistics
N
Minimum
Maximum
Mean
Std. Deviation
Age of Respondent
1500
18
89
46.23
17.418
Valid N (listwise)
1500
The total number of the respondents is 1500.
The mean age of the sample is 46 years.
c.
Respondent's Sex
Frequency
Percent
Valid Percent
Cumulative Percent
Valid
Male
641
42.7
42.7
42.7
Female
859
57.3
57.3
100.0
Total
1500
100.0
100.0
The percentage of female respondents is 57.3 %
3.
a. The oldest respondent is 89 years old.
b.
Agecat
Frequency
Percent
Valid Percent
Cumulative Percent
Valid
18-24
128
8.5
8.5
8.5
25-34
304
20.3
20.3
28.8
35-44
368
24.5
24.5
53.3
45-54
243
16.2
16.2
69.5
55-64
167
11.1
11.1
80.7
65+
285
19.0
19.0
99.7
99
5
.3
.3
100.0
Total
1500
100.0
100.0
There are 20.5 % of the respondents of the age group 35-44.
4.
a.
Descriptive Statistics
N
Sum
Mean
Std. Deviation
Variance
Hours Per week reading books
1500
4324
2.90
2.238
5.009
Valid N (listwise)
1500
Statistics
Hours Per week reading books
N
Valid
1500
Missing
0
Median
2.00
Mode
2
Std. Deviation
8.500
Variance
72.246
The two measures of dispersion are standard variation and variance, which are 8.5 and 72.24 respectively. While the two measures of central tendency are median and mode, which are 2 for both the measures.