1. Does Age Effect Grade Point Average? By Amanda Darrow and Dennis de Melo

2. 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.

3. 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

4. Charts: Averages and Samples AgeAverage G.P.A 182.6 192.5 202.9 212.8 222.7 233.1 243.1 253.9 262.7 283.3 293.4 302.8 313.3 333.7 352.6 363.7 383.2 394.0 423.9 Age (18-42) Number of Samples 18-1912 20-218 22-235 24-254 26-275 28-294 30-314 32-332 34-351 36-372 38-392 421 Grade Point AverageNumber of Samples 1.91 2.01 2.22 2.31 2.42 2.52 2.66 2.73 2.84 3.01 3.11 3.25 3.34 3.64 3.73 3.83 3.92 4.02

5. Age Statistics Mean: 23.5 Range: 42-18= 24 Mode= 19 Outliers: No Outliers

6. 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: 29 + 1.5(9) = 42.5 H= 42

7. Age Standard Deviation 18-19 = 1212-4.2=7.8 7.8²= 60.84 20-21 = 88-4.2= 3.8 3.8²= 14.44 22-23 = 55-4.2= 0.8 0.8²= 0.64 24-25 = 44-4.2= -0.2 -0.2²= 0.04 25-27 = 55-4.2= 0.8 0.8²= 0.64 28-29 = 44-4.2= -0.2 -0.2²= 0.04 30-31 = 44-4.2= -0.2 -0.2²= 0.04 32-33 = 22-4.2= -2.2 -2.2²= 4.84 34-35 = 11-4.2= -3.2 -3.2²= 10.24 36-37 = 22-4.2= -2.2 -2.2²= 4.84 38-39 = 22-4.2= -2.2 -2.2²= 4.84 42 = 11-4.2= -3.2 -3.2²= 10.24 ∑(x) = 50 µx= 50/12= 4.2 ∑(X1-µ) = 111.68 111.68/12= 9.31 √9.31 = 3.05

8. G.P.A. Statistics Mean: 3.1 Range: 4.0-2.5 = 1.5 Mode= 2.6, 2.7, 2.8, 3.1, 3.3, 3.7 and 3.9 Outliers: No Outliers

9. G.P.A. 5-Number Summary L=2.5 Q1= 2.75IQR: 3.55-2.75= 0.8 µ= 3.1LF: 2.75- 1.5(0.8) = 1.55 Q3= 3.55UF: 3.55 + 1.5(0.8) = 4.75 H= 4.0

10. G.P.A Standard Deviation 18-19 = 2.62.6-3.3=-0.7 -0.7²= 0.49 20-21 = 2.92.9-3.3=-0.4 -0.4²= 0.16 22-23 = 2.92.9-3.3=-0.4 -0.4²= 0.16 24-25 = 3.53.5-3.3=0.2 0.2²= 0.04 26-27 =2.72.7-3.3=-0.6 - 0.6²= 0.36 28-29 = 3.43.4-3.3=0.1 0.1²= 0.01 30-31 = 3.13.1-3.3=-0.2 -0.2²= 0.04 32-33 = 3.73.7-3.3=0.4 0.4²= 0.16 34-35 = 3.63.6-3.3=0.3 0.3²= 0.09 36-37 = 3.73.7-3.3=0.4 0.4²= 0.16 38-39 = 3.63.6-3.3=0.3 0.3²= 0.09 42 = 3.93.9-3.3=0.6 0.6²= 0.36 ∑(x) = 39.6 ∑(X1-µ) = 2.12 µx=9.6/12=3.3 2.12/12= 0.177 √0.177= 0.421

11. Linear Correlation Coefficient AgeAverage G.P.A 182.6 192.5 202.9 212.8 222.7 233.1 243.1 253.9 262.7 283.3 293.4 302.8 313.3 333.7 352.6 363.7 383.2 394.0 423.9 Correlation: 0.643159696 N=19-1 = 18 Table II: 18 = 0.468 Since the final coefficient is smaller than the correlation we have a linear relation