Does Age Effect Grade Point Average? By Amanda Darrow and Dennis de Melo
Does age determine a higher or lower grade point average? By Using a sample of 50 from the population of Salt Lake Community College Students, we will determine if there is in fact a correlation between age and G.P.A.
Collecting the Data A questionnaire was handed out to 50 Salt Lake Community College Students. The questionnaire asked two questions: The participants age The participants grade point average
Charts: Averages and Samples AgeAverage G.P.A Age (18-42) Number of Samples Grade Point AverageNumber of Samples
Age Statistics Mean: 23.5 Range: 42-18= 24 Mode= 19 Outliers: No Outliers
Age 5-Number Summary L=18 Q1= 20IQR: 29-20= 9 µ= 23.5 Lower Fence:0-1.5(9) = 6.5 Q3= 29Upper Fence: (9) = 42.5 H= 42
Age Standard Deviation = = ²= = = ²= = = ²= = = ²= = = ²= = = ²= = = ²= = = ²= = = ²= = = ²= = = ²= = = ²= ∑(x) = 50 µx= 50/12= 4.2 ∑(X1-µ) = /12= 9.31 √9.31 = 3.05
G.P.A. Statistics Mean: 3.1 Range: = 1.5 Mode= 2.6, 2.7, 2.8, 3.1, 3.3, 3.7 and 3.9 Outliers: No Outliers
G.P.A. 5-Number Summary L=2.5 Q1= 2.75IQR: = 0.8 µ= 3.1LF: (0.8) = 1.55 Q3= 3.55UF: (0.8) = 4.75 H= 4.0
G.P.A Standard Deviation = = ²= = = ²= = = ²= = = ²= = = ²= = = ²= = = ²= = = ²= = = ²= = = ²= = = ²= = = ²= 0.36 ∑(x) = 39.6 ∑(X1-µ) = 2.12 µx=9.6/12= /12= √0.177= 0.421
Linear Correlation Coefficient AgeAverage G.P.A Correlation: N=19-1 = 18 Table II: 18 = Since the final coefficient is smaller than the correlation we have a linear relation