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Quantitative analysis of a data sample - Essay Example

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1. Q1
Mean = 227.83
2. Q2
SD = 1.47
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:

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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…
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