Question

appropriate for a normal curve
not appropriate for a normal curve

the data set of the number of minutes students spend on their homework each evening, where most students spend similar amounts of time, but some spend very little or a lot more.

the data set of daily water consumption among students in liters, showing a consistent range where most values are clustered near the mean with no extreme outliers.

the data set of the amount of money students save each month, showing that a small group of students saves significantly more than the rest.

the data set of attendance rates for school events, showing a few events with very high attendance compared to most events with low to moderate attendance.

Explanation:

Analyze the characteristics of a normal curve

Using the Normal Distribution Suitability knowledge point, a normal curve is symmetric, bell-shaped, and has most values clustered near the mean with thin tails (no extreme skewness or dominant outliers).

Evaluate the first scenario

The homework dataset has most students spending similar amounts of time, with some spending very little or a lot more. This describes a symmetric, bell-shaped distribution.

• Classification: Appropriate for a Normal Curve

Evaluate the second scenario

The water consumption dataset shows a consistent range where most values are clustered near the mean with no extreme outliers. This directly matches the properties of a normal distribution.

• Classification: Appropriate for a Normal Curve

Evaluate the third scenario

The savings dataset shows a small group of students saving significantly more than the rest. This indicates a strong right skew (positive skewness) with outliers on the high end.

• Classification: Not Appropriate for a Normal Curve

Evaluate the fourth scenario

The attendance rates dataset shows a few events with very high attendance compared to most events with low to moderate attendance. This describes a highly right-skewed distribution.

• Classification: Not Appropriate for a Normal Curve

Answer:

Appropriate for a Normal Curve

• The data set of the number of minutes students spend on their homework each evening, where most students spend similar amounts of time, but some spend very little or a lot more.
• The data set of daily water consumption among students in liters, showing a consistent range where most values are clustered near the mean with no extreme outliers.

Not Appropriate for a Normal Curve

• The data set of the amount of money students save each month, showing that a small group of students saves significantly more than the rest.
• The data set of attendance rates for school events, showing a few events with very high attendance compared to most events with low to moderate attendance.