Question

3 multiple choice 10 points for the following frequency - distribution, what is the value of \\(\sum x\\)?
\\(x\\) \\(f\\)
4 3
3 5
2 4
1 2
10
24
37
none of the above

Explanation:

Step1: Recall the formula for \(\sum Xf\)

\(\sum Xf=\sum_{i = 1}^{n}X_if_i\), which means we multiply each value of \(X\) by its corresponding frequency \(f\) and then sum up these products.

Step2: Calculate the products

For \(X = 4\) and \(f=3\), the product is \(4\times3 = 12\).
For \(X = 3\) and \(f = 5\), the product is \(3\times5=15\).
For \(X = 2\) and \(f = 4\), the product is \(2\times4 = 8\).
For \(X = 1\) and \(f = 2\), the product is \(1\times2=2\).

Step3: Sum up the products

\(\sum Xf=12 + 15+8 + 2=37\)

Answer:

37