Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Find the mode for the data items in the given frequency distribution.

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|}
\hline
Score, [tex]$x$[/tex] & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\
\hline
Frequency, [tex]$f$[/tex] & 1 & 1 & 1 & 3 & 8 & 7 & 4 & 4 & 4 & 1 \\
\hline
\end{tabular}

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The mode(s) is/are [tex]$\square$[/tex] (Use a comma to separate answers as needed.)

B. There is no mode.

Sagot :

GinnyAnswer
To find the mode of the given frequency distribution, follow these steps:

1. Identify the frequencies of each score:
[tex]\[ \begin{array}{|c|c|c|c|c|c|c|c|c|c|c|} \hline \text{Score}, \, x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline \text{Frequency}, \, f & 1 & 1 & 1 & 3 & 8 & 7 & 4 & 4 & 4 & 1 \\ \hline \end{array} \][/tex]

2. Recognize the highest frequency in the distribution. Here, the highest frequency is 8.

3. Identify the score(s) corresponding to this highest frequency. By examining the table, the score corresponding to the highest frequency of 8 is [tex]\(5\)[/tex].

Thus, the mode for this frequency distribution is the score [tex]\(5\)[/tex], because it appears more frequently than any other score.

Therefore, the answer is:

A. The mode(s) is/are [tex]\(5\)[/tex].
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.