The mean are, 25 learners in Sugakpo PCG Basic. Use the table below to answer the following questions: Find the a. mean mark b. modal mark c. median.

Okay, Janet, let's re-examine this problem with a closer look at the text. It appears the initial statement reads: "The mean are 25 learners in Sugakope PCG Basic 19-52. Use the table below to answer the following questions."

This means the total number of learners is 25, which is the sum of all frequencies. This is a crucial piece of information that allows us to find the value of $m$.

Marks ($x$): 1, 2, 3, 4, 5
Frequency ($f$): 3, $m$, 5, $m+2$, 3

Step 1: Calculate the total frequency in terms of $m$ and set it equal to 25.

$$\sum f = 3 + m + 5 + (m+2) + 3$$ $$\sum f = 13 + 2m$$

Given that the total number of learners is 25:

$$13 + 2m = 25$$ $$2m = 25 - 13$$ $$2m = 12$$ $$m = \frac{12}{2}$$ $$m = 6$$

Step 2: Substitute $m=6$ into the frequency distribution to get the actual frequencies.

• Mark 1: Frequency = 3
• Mark 2: Frequency = $m = 6$
• Mark 3: Frequency = 5
• Mark 4: Frequency = $m+2 = 6+2 = 8$
• Mark 5: Frequency = 3 Let's verify the total frequency: $3 + 6 + 5 + 8 + 3 = 25$. This matches the given total number of learners.