Quantitative analysis of a data sample - Essay Example

quantitative analysis of a data sample Q1 Mean = 227.83 2. Q2 SD 47 3. Q3 225.53 50th percentile 4. Q4 228.53 75th percentile Taking the answers to #3 and 4, what percent of students have a score between these 2 limits? 25% 5. Repeat questions 1-5 for boys in grades 4-5. Q1 Mean = 223.83 Q2 SD = 1.36 Q3 222.47 25th percentile Q4 225.19 50th percentile Taking the answers to #3 and 4, what percent of students have a score between these 2 limits? 25% 6. Q6 Females had the higher mean score in English.

The difference is significant (p-value = 0.024) 7. Q7 The correlation co-efficient = -0.2072. As behavior referral increases, there is a drop in performance in English 8. Q8= 0.1833 9. Q9 Whites perform better in English as compared to other races and have the highest mean score among the 5 race categories. The mean score for whites in English MCAS is 241.6 and is followed by Asians with a mean of 235.2. Blacks, Hispanics, and Other races are closely tied at 224.85, 224.13, and 223 respectively.

This is shown below: Race Mean Std. Dev Asian 235.2 3.666061 Black 224.8462 1.504489 Hispanic 224.125 1.329958 Other 223 10.34408 White 241.6 6.794115 10. Q.10 The hypothesis is that race affect a student’s performance in English exams. This is the null hypothesis. The alternative hypothesis is that the differences in group means is not significant. We use ANOVA to test this hypothesis: From the analysis, we obtain a p-value or 0.0025 and hence conclude that performance in English is affected by race.