Q.2.141 - Elementary Statistics

Question

 Clocking the Cheetah. The cheetah (Acinonyx jubatus) is the fastest land mammal and is highly specialized to run down prey. The cheetah often exceeds speeds of $60 mph$and, according to the online document "Cheetah Conservation in Southern Africa" (Trade \& Environment Database (TED) Case Studies, Vol. 8, No. 2) by J. Urbaniak, the cheetah is capable of speeds up to $72 mph$. Following is a frequency histogram for the speeds, in miles per hour, for a sample of $35$ cheetahs.

State whether the distribution is symmetric, right skewed, left skewed.

Step-by-Step Solution

Answer

The distribution is non symmetric and right skewed.

Step 1 : Given Information

The given graph is:

 we have to State  whether the distribution is (roughly) symmetric, right skewed, or left skewed.

Step 2: Explanation

If the shape of any distribution is divided into two parts, one of which is the mirror image of the other, the distribution is said to be symmetric.

The graph in question cannot be divided into two equal halves, one of which is a mirror image of the other.

As a result, the graph's shape is non symmetric.

The longer tail of the distribution lies towards the higher values of the variate, and the mean is greater than the median.