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.

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.

References

Am, S., & Am, C. (2018). Descriptive Statistics. Europe4(4.5/37.6), 12-0.

Kaur, P., Stoltzfus, J., & Yellapu, V. (2018). Descriptive statistics. International Journal of Academic Medicine4(1), 60.

 

Sex

Frequency Male Female 36 36

Sex

 

 

Frequency

 

 

 

Ethinicity

Frequency African American Caucasian Latino Other 23 31 14 4

Ethinicity

 

 

Frequency

 

 

 

Histogram

Frequency 25.75 21.875 29.625 33.5 37.375 45.125 18 41.25 More 22 14 10 8 8 4 2 2 2 Cumulative % 25.75 21.875 29.625 33.5 37.375 45.125 18 41.25 More 0.30555555555555558 0.5 0.63888888888888884 0.75 0.86111111111111116 0.91666666666666663 0.94444444444444442 0.97222222222222221 1

Bin

Frequency

 

Histogram

Frequency 9.375 11.25 5.625 7.5 3.75 13.125 0 1.875 More 16 14 13 12 7 7 1 1 1 Cumulative % 9.375 11.25 5.625 7.5 3.75 13.125 0 1.875 More 0.22222222222222221 0.41666666666666669 0.59722222222222221 0.76388888888888884 0.86111111111111116 0.95833333333333337 0.97222222222222221 0.98611111111111116 1

Bin

Frequency

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