question archive Descriptive Statistics Discrete variables The main descriptive statistics used for discrete variables are frequency statistics
Descriptive Statistics Discrete variables The main descriptive statistics used for discrete variables are frequency statistics
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Descriptive Statistics
Discrete variables
The main descriptive statistics used for discrete variables are frequency statistics. Since sex and ethnicity are discrete variables, their descriptive statistics are the frequency statistics.
Sex
|
Sex |
Frequency |
Percent |
|
Male |
36 |
50 |
|
Female |
36 |
50 |
|
Total |
72 |
100 |
The findings show that there was the number of female participants contained in the dataset was equal to the number of male participants in the data set.
Ethnicity
|
Ethnicity |
Frequency |
Percent |
|
African American |
23 |
31.9 |
|
Caucasian |
31 |
43.1 |
|
Latino |
14 |
19.4 |
|
Other |
4 |
5.6 |
|
Total |
72 |
100 |
The majority of the respondents in the dataset 31 (43,1%) were of Caucasian ethnicity. Respondents with African American ethnicity were 23 (43.1%) while those with Latino ethnicity were 14 (19.4%). 4 (5.6%) of the respondents in the dataset were from other ethnic groups.
Continuous variables
There are three classes of descriptive statistics for continuous variables that include measures of central tendency (mean, median, and mode), measures of dispersion (variance, standard deviation, and range), and shape statistics (skewness and kurtosis).
Age
|
Age |
|
|
|
|
|
Mean |
27.75 |
|
Standard Error |
0.92452881 |
|
Median |
25 |
|
Mode |
24 |
|
Standard Deviation |
7.844887094 |
|
Sample Variance |
61.54225352 |
|
Kurtosis |
0.217860957 |
|
Skewness |
0.969218955 |
|
Range |
31 |
|
Minimum |
18 |
|
Maximum |
49 |
|
Sum |
1998 |
|
Count |
72 |
The mean age of the respondents in the data set is 27.75. The median and mode of the respondents’ age is 25 and 24 respectively. The standard deviation, sample variance, and range of the respondents’ age in the dataset are 7.8449, 61.5423, and 31 respectively. The kurtosis and skewness of the age of the respondents are 0.2179 and 0.9692 respectively. The maximum age is 49 while the minimum age is 18. The histogram shows that the age is skewed to the right.
Recall1
|
Recall1 |
|
|
|
|
|
Mean |
7.527778 |
|
Standard Error |
0.38097 |
|
Median |
8 |
|
Mode |
8 |
|
Standard Deviation |
3.232634 |
|
Sample Variance |
10.44992 |
|
Kurtosis |
-0.62492 |
|
Skewness |
-0.14209 |
|
Range |
15 |
|
Minimum |
0 |
|
Maximum |
15 |
|
Sum |
542 |
|
Count |
72 |
The mean of Recall1 in the data set is 7.5278. The median and mode of the Recall1 are 8 and 8 respectively. The standard deviation, sample variance, and range of Recall1 in the dataset are 3.2326, 10.4499, and 15 respectively. The kurtosis and skewness of the Recall1 data are -0.6249 and -0.1421 respectively. The maximum value in the Recall1 data is 15 while the minimum value is 0. The histogram shows that Recall1 is skewed to the right.
