Math  /  Data & Statistics

QuestionFind the mode(s) for the data items in the given frequency distribution. \begin{tabular}{|l|c|c|c|c|c|c|c|c|} \hline Score, x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline Frequency, f & 2 & 5 & 1 & 4 & 4 & 4 & 1 & 6 \\ \hline \end{tabular}
Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The mode(s) is/are \square (Use a comma to separate answers as needed.) B. There is no mode.

Studdy Solution

STEP 1

What is this asking? We're looking for the number(s) that show up most often in this data set! Watch out! Don't mix up *mode* with *median* (the middle value) or *mean* (the average).
We're hunting for the most frequent number(s)!

STEP 2

1. Examine the frequencies
2. Identify the highest frequency
3. Determine the mode(s)

STEP 3

The table shows us how many times each "score" appears.
For example, the score 11 has a frequency of 22, meaning it appears **twice**.
The score 88 appears **six** times, because its frequency is 66.

STEP 4

Let's scan the "Frequency, ff" row and find the biggest number.
We see that the highest frequency is **66**.

STEP 5

Since the highest frequency is **66**, we need to find which score(s) have this frequency.
Looking back at the table, we see that the score 88 has a frequency of 66.

STEP 6

So, the mode, the number that appears most often, is 88!

STEP 7

A. The mode(s) is/are 88.

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