Question

In a final buzzer round of a competition, contestants were asked to name as many as states that begin with the letter K, by pressing the buzzer as early as possible. The bar graph shows the number of states the contestants were able to name. Find the number of contestants who participated in the final buzzer round.

A. 6
B. 8
C. 14
D. 20

Answer 1

We have here been given a graph between contestants and number of states correctly named and we have to find the total number of contestants who participated in this competition. For this, we will first count the number of contestants who are named 1, 2, 3,…,8 states correctly separately. Then we will add all those number of contestants. And hence, we will obtain the required answer.

Complete step by step answer:
We here have been given the following graph between the contestants and the number of states that are named correctly and we have to find the total number of contestants that participated in this competition. The graph is given as follows:

To figure out the number of contestants, we will count the number of contestants separately for each number of states correctly named from the graph.
Now, from the graph, we can read the make the following observations:
Number of contestants who named 1 state correctly = 1
Number of contestants who named 2 states correctly = 1
Number of contestants who named 3 states correctly = 5
Number of contestants who named 4 states correctly = 6
Number of contestants who named 5 states correctly = 4
Number of contestants who named 6 states correctly = 0
Number of contestants who named 7 states correctly = 2
Number of contestants who named 8 states correctly = 1
Thus, the total number of contestants is equal to the sum of all number of contestants who separately named all the number of states correctly.
Hence, the total number of contestants are given as:
$\begin{aligned} & 1+1+5+6+4+0+2+1 \\\ & \therefore 20 \\\ \end{aligned}$
Thus, the total number of contestants who participated in this competition is 20.

Hence, option (D) is the correct option.

Note:
Be very careful while reading the graphs. It is very important to know how to read graphs as any mistake in reading the graphs may result in a wrong answer. Also, do the counting one by one and while writing, write it in points as it is easier to read and understand and hence it reduces the scope of committing mistakes.