ᴋᴀɪᴛᴏ's ᴅᴏᴍᴀɪɴ!!!
Based on the calculated values, here's an interpretation of the data on average daily student allowances:
Central Tendency:
- Mean (136): The average daily allowance is 136. This suggests a typical allowance amount.
- Median (125.5): The middle value is 125.5. Since the median is lower than the mean, this indicates a right-skewed distribution—meaning there are some higher allowances pulling the average up.
- Mode (119.88): The most frequent allowance is approximately 119.88. This is the most common allowance amount among the students.
Dispersion and Distribution:
The differences between the mean, median, and mode confirm a right-skewed distribution. A few students likely receive significantly higher allowances than the majority.
- Quartiles (Q1 \= 50.44, Q3 \= 193): The first quartile (Q1) is 50.44, meaning 25% of the students receive 50.44 or less per day. The third quartile (Q3) is 193, meaning 75% of the students receive 193 or less per day. The difference between Q3 and Q1 (the interquartile range) is 142.56, indicating a considerable spread in the middle 50% of the data.
- Deciles and Percentiles: The deciles and percentiles provide further detail on the distribution. For instance, D8 (208) indicates that 80% of students receive 208 or less, while P10 (74.25) shows that 10% receive 74.25 or less. These values reinforce the right skew, showing a concentration of allowances at the lower end and a few higher values.
Overall:
The data suggests a considerable variation in daily allowances among the students. While the most common allowance is around 120, the average is higher due to some students receiving substantially larger amounts. The distribution is not uniform; it's skewed towards higher values, indicating inequality in the allowances. Further investigation might be needed to understand the reasons behind this inequality.Based on the calculated values, here's an interpretation of the data on average daily student allowances:
Central Tendency:
- Mean (136): The average daily allowance is 136. This suggests a typical allowance amount.
- Median (125.5): The middle value is 125.5. Since the median is lower than the mean, this indicates a right-skewed distribution—meaning there are some higher allowances pulling the average up.
- Mode (119.88): The most frequent allowance is approximately 119.88. This is the most common allowance amount among the students.
Dispersion and Distribution:
The differences between the mean, median, and mode confirm a right-skewed distribution. A few students likely receive significantly higher allowances than the majority.
- Quartiles (Q1 \= 50.44, Q3 \= 193): The first quartile (Q1) is 50.44, meaning 25% of the students receive 50.44 or less per day. The third quartile (Q3) is 193, meaning 75% of the students receive 193 or less per day. The difference between Q3 and Q1 (the interquartile range) is 142.56, indicating a considerable spread in the middle 50% of the data.
- Deciles and Percentiles: The deciles and percentiles provide further detail on the distribution. For instance, D8 (208) indicates that 80% of students receive 208 or less, while P10 (74.25) shows that 10% receive 74.25 or less. These values reinforce the right skew, showing a concentration of allowances at the lower end and a few higher values.
Overall:
The data suggests a considerable variation in daily allowances among the students. While the most common allowance is around 120, the average is higher due to some students receiving substantially larger amounts. The distribution is not uniform; it's skewed towards higher values, indicating inequality in the allowances. Further investigation might be needed to understand the reasons behind this inequality.
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