The distribution shows that only 3.9% (i.e. 19 out of 479) students obtained high scores in the range from 50.1 to 60 in their examination while most the students obtained 20.1 to 30, i.e. 145 students, which makes just about 33.3 to 50% of the highest score. The average of examination results is found to be 26.91 with standard deviation 12.01. After calculating average and standard deviation, z scores were also calculated as shown in appendix. Z scores show the difference of entry from mean value. Z score ‘0’ shows that value is equal to mean. Positive z score shows that the value is greater than mean and negative z score shows that the value is less than mean.
To study the effect of gender on examination results, frequency distribution method was applied separate on male and female data. The number of students lying in each class was observed and their percentages were calculated for comparison. The bar chart given below will help to interpret the observations.
The bar chart shows that there is not a significant difference in the examination results of male and female students. The most prominent difference is only in the lowest range of result, that is, the percentage of male students that obtain results in the range 0.1-10 were 7.7% while female percentage is 4.7%
To study the relation between quiz results and exam results of the students, the comparison of trend lines correlation is used. Percentages were calculated for both results. The results of quiz were arranged in ascending order and then compared to the examination results. Scatter points graph was used to plot these results and compared with linear trend lines. Later the R2 factor was observed for both results.
The exam results did not show linear relationship with quiz results. It is evident from R2 values of both factors. R2 for quiz appeared 0.9033, i.e. near to 1, while for exam it is 0.158, i.e. near to 0 which means these two values are not linearly related to each other.