Q.2.151 - Elementary Statistics

Question

Snow Goose Nests. In the article "Trophic Interaction Cycles in Tundra Ecosystems and the Impact of Climate Change" (BioScience, Vol. 55, No, 4, pp, 311-321), R. Ims and E. Fuglei provided an overview of animal species in the northern tundra. One threat to the snow goose in arctic Canada is the lemming. Snowy owls act as protection to the snow goose breeding grounds. For two years that are 3 years apart, the following graphs give relative frequency histograms of the distances, in meters, of snow goose nests to the nearest snowy owl nest.

Step-by-Step Solution

Answer

(a) The distribution in terms of modality is unimodal 

(b) The distribution is non-symmetric. 

(c)  The distribution is right-skewed. 

(d) The second year's range of values looks to be smaller than the first year's range of values.

The first year's centre is further to the right than the second year's centre.

There are more outliers in the first year.

Part (a) Step 1: Given information

The given data is 

Part (a) Step 2: Explanation

The distribution in terms of modality is unimodal since it has only one peak.

Part (b) Step 1: Given information

The given data is 

Part (b) Step 2: Explanation

Because the peak of the distribution is not roughly in the middle, the symmetry of the distribution is non-symmetric.

Part (c) Step 1: Given information

The given data is 

Part (c) Step 2: Explanation

Because the graph's peak is to the left of the graph, the distribution is right skewed.

Part (d) Step 1: Given information

The given data is 

Part (d) Step 2: Explanation

The shapes of both distributions are the same: unimodal, non-symmetric, and right skewed.

The second year's range of values looks to be smaller than the first year's range of values.

The first year's centre is further to the right than the second year's centre.

There are more outliers in the first year.