Question 1194723: Analyze the given data below and answer the following questions:
Zian's Scores in Math and English
ENGLISH: 50, 40, 28, 35, 37
MATH: 36, 29, 35, 30, 35
MEASURES OF VARIABILITY ENGLISH
Mean 38
Standard Deviation 8.03
Variance 64.5
RAnge 22
MEASURES OF VARIABILITY MATH
Mean 33
Standard Deviation 3.24
Variance 10.5
RAnge 7
Question 1:In what subject does Zian performs well?
Question 2: In what subject does Zian shows consistent score?
Question 3: Are his scores in english are more spread out than math?
Answer by proyaop(69) (Show Source):
You can put this solution on YOUR website! **Question 1: In what subject does Zian perform well?**
* **Based on the mean scores:** Zian performs better in English (mean: 38) compared to Math (mean: 33).
**Question 2: In what subject does Zian show consistent scores?**
* **Based on the measures of variability:**
* **Standard Deviation:** Math (3.24) has a lower standard deviation than English (8.03).
* **Variance:** Math (10.5) has a lower variance than English (64.5).
* **Range:** Math (7) has a smaller range than English (22).
These measures all indicate that Zian's Math scores are less spread out and more consistent than his English scores.
**Question 3: Are his scores in English more spread out than Math?**
* **Yes.** As discussed in the previous answer, the standard deviation, variance, and range for English scores are all higher than those for Math scores. This suggests that Zian's English scores are more spread out and varied.
**In summary:**
* Zian performs better in English in terms of average scores.
* Zian's Math scores are more consistent than his English scores.
* Zian's English scores are more spread out than his Math scores.
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