3 multiple choice 10 points for the following frequency - distribution, what is the value of \\(\\sum…

3 multiple choice 10 points for the following frequency - distribution, what is the value of \\(\\sum x\\)?\n\\(x\\) \\(f\\)\n4 3\n3 5\n2 4\n1 2\n10\n24\n37\nnone of the above
Answer
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