The table shows the percentage of students in each grade who have mastered mathematics, reading, and science. The descriptive statistics for each subject are as follows:
- Mathematics:
- Mean: 40.48%
- Median: 41.92%
- Mode: 40%
- Standard deviation: 4.74%
- Reading:
- Mean: 43.69%
- Median: 44.29%
- Mode: 45%
- Standard deviation: 3.65%
- Science:
- Mean: 36.15%
- Median: 36.15%
- Mode: 36%
- Standard deviation: 2.74%
The table below summarizes the descriptive statistics for each subject:
| Subject | Mean | Median | Mode | Standard deviation |
|---|---|---|---|---|
| Mathematics | 40.48% | 41.92% | 40% | 4.74% |
| Reading | 43.69% | 44.29% | 45% | 3.65% |
| Science | 36.15% | 36.15% | 36% | 2.74% |
We can see that the mean percentage of students who have mastered mathematics is 40.48%, with a standard deviation of 4.74%. This means that most students (about 68%) have a mastery percentage within 1 standard deviation of the mean, or between 35.74% and 45.22%. The median percentage of students who have mastered mathematics is 41.92%, which means that half of the students have a mastery percentage greater than this value and half have a mastery percentage less than this value. The mode percentage of students who have mastered mathematics is 40%, which means that this is the most common mastery percentage.
The mean percentage of students who have mastered reading is 43.69%, with a standard deviation of 3.65%. This means that most students (about 68%) have a mastery percentage within 1 standard deviation of the mean, or between 40.04% and 47.34%. The median percentage of students who have mastered reading is 44.29%, which means that half of the students have a mastery percentage greater than this value and half have a mastery percentage less than this value. The mode percentage of students who have mastered reading is 45%, which means that this is the most common mastery percentage.
The mean percentage of students who have mastered science is 36.15%, with a standard deviation of 2.74%. This means that most students (about 68%) have a mastery percentage within 1 standard deviation of the mean, or between 33.41% and 38.89%. The median percentage of students who have mastered science is 36.15%, which means that half of the students have a mastery percentage greater than this value and half have a mastery percentage less than this value. The mode percentage of students who have mastered science is 36%, which means that this is the most common mastery percentage.
Overall, the descriptive statistics show that the percentage of students who have mastered mathematics, reading, and science is relatively low. The mean percentage of students who have mastered each subject is below 50%, and the standard deviation is relatively high. This suggests that there is a large variation in the mastery percentages of students across the grades.
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