Q. 11 - The Practice of Statistics for AP

Question

Here is a dot-plot of the adult literacy rates in $177$ countries in$2008$, according to the United Nations. For example, the lowest literacy rate was $23.6\%$, in the African country of Burkina Faso. Use the dot-plot below to answer the Question

The overall shape of this distribution is 

(a) clearly skewed to the right. 

(b) clearly skewed to the left.

(c) roughly symmetric. 

(d) uniform. 

(e) There is no clear shape.

Step-by-Step Solution

Answer

The overall shape of the distribution is option (b)  clearly skewed to the left. 

Step 1: Given information

Dot-plot of the adult literacy rates in $177$countries in$2008$

Literacy rate is $23.6\%$

Step 2: Explanation

This question is regarding the graph's form. 

The graph is symmetric if you fold it in half and obtain the same picture.

The term "uniform" refers to the fact that it is consistent throughout the graph.

Obviously, neither of these are true; it is either slanted left or right.

So the answer is either (a) or (b)

Notice how this graph has a huge right-hand side and a small left-hand side. The left side of the distribution is known as the tail end, and we can envision the tail end as a skewer (like a pokey stick). This is skewed to the left since the skewer is to the left.

answer is not (a) since that says skewed to the right and the answer is (b).