Question

The following data represents the height in inches of 80 randomly selected 5 year-olds.

44.5,45.4,39.6,45.5,42.0,44.5,39.5,42.3,44.0,37.7,42.4,43.0,44.7,43.3,42.2,37.6,43.6,44.6,35.9,34.6,42.2,43.4,63.5,41.2,38.5,42.2,41.3,40.5,43.7,42.4,46.2,44.7,42.7,40.5,43.6,40.3,38.8,37.4,48.1,42.7,45.7,38.6,40.6,44.4,40.6,48.5,41.9,44.5,38.7,47.0,44.8,41.6,47.5,42.6,45.0,41.6,40.3,40.7,46.0,42.8,43.3,50.2,48.4,42.0,40.7,41.7,42.1,38.2,43.4,39.9,39.5,46.9,37.5,40.3,36.3,38.9,41.9,42.6,44.6,42.3

a) Use statistical software to construct a relative frequency histogram. Use 32 as the lowest class limit and a class width of 2. Plot and label the statistics x̄ (x-bar), x̄+1, x̄+2, x̄+3. Draw a normal density curve on the relative frequency histogram. Comment on the shape of the distribution.

b) Do you think the normal density curve accurately describes the heights of five year old females? Why?

Answer 1

a) Use statistical software to construct a relative frequency histogram. Use 32 as the lowest class limit and a class width of 2. Plot and label the statistics x̄ (x-bar), x̄+1, x̄+2, x̄+3. Draw a normal density curve on the relative frequency histogram. Comment on the shape of the distribution.

b) Do you think the normal density curve accurately describes the heights of five year old females? Why?

Yes, since the data fits in the normal density curve.