Answered

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The following shows the marks obtained by 30 learners who wrote a class test in Mathematics:

[tex]\[
\begin{array}{lrrrrr}
3 & 6 & 7 & 8 & 6 & 2 \\
0 & 2 & 0 & 4 & 3 & 7 \\
4 & 1 & 2 & 3 & 5 & 2 \\
5 & 2 & 1 & 2 & 8 & 5 \\
1 & 3 & 3 & 4 & 2 & 2
\end{array}
\][/tex]

(i) Construct a frequency distribution table for the data.

Sagot :

GinnyAnsweridn
Sure, let's construct a frequency distribution table for the given marks obtained by the 30 learners. Here are the steps:

1. List All Unique Marks:
First, we identify all the unique marks that appear in the data set. The unique marks are: 0, 1, 2, 3, 4, 5, 6, 7, 8.

2. Count the Frequency:
Next, we count how many times each unique mark appears in the list.

3. Create the Frequency Distribution Table:
We'll organize the marks and their corresponding frequencies in a table format.

Using these steps, here is the frequency distribution table:

| Mark | Frequency |
|:--------:|:-------------:|
| 0 | 2 |
| 1 | 3 |
| 2 | 8 |
| 3 | 5 |
| 4 | 3 |
| 5 | 3 |
| 6 | 2 |
| 7 | 2 |
| 8 | 2 |

To summarize:
- The mark '0' was obtained by 2 learners.
- The mark '1' was obtained by 3 learners.
- The mark '2' was obtained by 8 learners.
- The mark '3' was obtained by 5 learners.
- The mark '4' was obtained by 3 learners.
- The mark '5' was obtained by 3 learners.
- The mark '6' was obtained by 2 learners.
- The mark '7' was obtained by 2 learners.
- The mark '8' was obtained by 2 learners.

This table clearly shows the frequency of each mark in the class test.
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