NameKEYDate

Directions: Answer each of the following questions.

1.

a. Mean: A

Median: B

b. Mean: A

Median: A

c. Mean: A

Median: B

2. Sketch a density curve that is:

a. Symmetric (Normal Curve)

b. Skewed Left

c. Skewed Right

3. A line segment can be considered a density “curve”. A “broken line” graph can also be considered a density curve. The figure bellow show such a density curve.

For each of the following, use areas under this density curve to find the proportion of observations within the given interval:

a. 0.6 ≤ X ≤ 0.8

.2

b. 0 ≤ X ≤ 0.4

.6

c. 0.6 ≤ X ≤ 0.2

.5

d. Why is the median of this density curve a point between X=0.2 and X=0.4?

Because the area under the entire curve is most equally divided at a point between .2 and .4

4. Use the following models to complete a. and b.

a. Sketch a density curve that fits each of these histograms.

b. Draw and label a vertical line that represents where the median and mean are located on each of distributions. Use your knowledge of median and mean to estimate this.

Mean is the first line to the left, Median is the second line

Mean is the first line to the left and Median is the second line.

Mean and Median are the same line

Elizabeth Walker