Q 42. - The Practice of Statistics for AP

Question

Phone numbers the dot-plot below displays the last digit of $100$ phone numbers chosen at random from a phone book. Describe the shape of the distribution. Does this shape make sense to you? Explain.

Step-by-Step Solution

Answer

Shape is not smooth that is neither symmetric nor skewed.

Step 1: Given information

The graph :

Step 2: Concept

The shape of the distribution is described by its number of peaks and its possession of symmetry.

Step 3: Explanation

Because of its uneven shape, the dot-plot that depicts the final digit of $100$ phone numbers chosen at random from a phonebook is asymmetrically distributed. The shape is not smooth, symmetrical, or skewed in any way. The distribution of last digit numbers is almost unequal, with the last digits $4$ and $7$ being the most common.