IDNLearn.com provides a collaborative environment for finding and sharing knowledge. Get the information you need from our community of experts who provide accurate and comprehensive answers to all your questions.
Sagot :
To find the mean for the given frequency distribution, follow these steps:
1. List the scores and their corresponding frequencies:
[tex]\[ \begin{array}{|c|c|c|c|c|c|c|c|c|} \hline \text{Score, } x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline \text{Frequency, } f & 3 & 5 & 6 & 3 & 3 & 3 & 5 & 2 \\ \hline \end{array} \][/tex]
2. Find the sum of the product of each score and its corresponding frequency:
[tex]\[ \sum (x \cdot f) = (1 \cdot 3) + (2 \cdot 5) + (3 \cdot 6) + (4 \cdot 3) + (5 \cdot 3) + (6 \cdot 3) + (7 \cdot 5) + (8 \cdot 2) \][/tex]
[tex]\[ = 3 + 10 + 18 + 12 + 15 + 18 + 35 + 16 = 127 \][/tex]
3. Find the total frequency:
[tex]\[ \sum f = 3 + 5 + 6 + 3 + 3 + 3 + 5 + 2 = 30 \][/tex]
4. Calculate the mean:
[tex]\[ \text{Mean} = \frac{\sum (x \cdot f)}{\sum f} = \frac{127}{30} \][/tex]
5. Round the mean to three decimal places:
[tex]\[ \frac{127}{30} \approx 4.233 \][/tex]
So, the mean of the given frequency distribution is [tex]\( \boxed{4.233} \)[/tex].
1. List the scores and their corresponding frequencies:
[tex]\[ \begin{array}{|c|c|c|c|c|c|c|c|c|} \hline \text{Score, } x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline \text{Frequency, } f & 3 & 5 & 6 & 3 & 3 & 3 & 5 & 2 \\ \hline \end{array} \][/tex]
2. Find the sum of the product of each score and its corresponding frequency:
[tex]\[ \sum (x \cdot f) = (1 \cdot 3) + (2 \cdot 5) + (3 \cdot 6) + (4 \cdot 3) + (5 \cdot 3) + (6 \cdot 3) + (7 \cdot 5) + (8 \cdot 2) \][/tex]
[tex]\[ = 3 + 10 + 18 + 12 + 15 + 18 + 35 + 16 = 127 \][/tex]
3. Find the total frequency:
[tex]\[ \sum f = 3 + 5 + 6 + 3 + 3 + 3 + 5 + 2 = 30 \][/tex]
4. Calculate the mean:
[tex]\[ \text{Mean} = \frac{\sum (x \cdot f)}{\sum f} = \frac{127}{30} \][/tex]
5. Round the mean to three decimal places:
[tex]\[ \frac{127}{30} \approx 4.233 \][/tex]
So, the mean of the given frequency distribution is [tex]\( \boxed{4.233} \)[/tex].
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Trust IDNLearn.com for all your queries. We appreciate your visit and hope to assist you again soon.