Question

2.3 density curves and the normal distribution
name hiba - lusma - mahamud

1. true/false: for a left - skewed density curve, the mean will be greater than the median.
2. use median and mean to fill in the blanks below.

the ____ of a density curve is its balance point. the ____ of a density curve is the equal - areas point.

Explanation:

1. For a left - skewed density curve, the tail is on the left. The mean is pulled in the direction of the tail (left), while the median is less affected. So, the mean is less than the median.
2. The mean of a density curve is its balance point (like the center of mass in physics). The median of a density curve is the equal - areas point (half of the area under the curve is to the left and half is to the right of the median).

Answer:

1. FALSE
2. mean; median