[ASK] Are the Frequency and the Score Switched?

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SUMMARY

The discussion centers on the confusion regarding the interpretation of a frequency and score table in a statistical context. The table presented indicates frequencies of scores from 5 to 9, with corresponding scores that appear to be misaligned. After recalculating the mean using a weighted average formula, the mean score is determined to be approximately 7.1, leading to the conclusion that 20 students scored above this mean. The initial calculations and assumptions about switching the frequency and score were incorrect, as they did not yield valid options from the provided answers.

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Monoxdifly
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Pay attention to the table below.
$$\begin{array}{|c|c|c|c|c|c|}\hline Frequency & 5 & 6 & 7 & 8 & 9 \\ \hline Score & 6 & 6 & 10 & 15 & 5\\ \hline \end{array}$$
The amount of students who get above average are...
A. 9 students
B. 17 students
C. 18 students
D. 26 students
I got the average as $$\frac{291}{35}$$, which is eight point something. So, I got 7 + 8 = 15 as the answer, but it was not in the option. I then assume that the frequency and score must be switched, but now I got $$\frac{291}{42}$$ which is six point something, so the answer should be 10 + 15 + 5 = 30 which was not in the options either. Where did I go wrong?
 
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Looking at the provided table, it appears the frequency and score are switched. Let's assume they are...

Using a weighted average, I get a mean score of:

$$\overline{x}=\frac{6\cdot5+6\cdot6+10\cdot7+15\cdot8+5\cdot9}{6+6+10+15+5}=\frac{301}{42}=\frac{43}{6}=7.1\overline{6}$$

It would appear 20 students scored higher than the mean. :D
 
That means, still no answer?
 

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