multiple choice 10 points\nfor the following frequency distribution, what is the value of σx²?\nx f\n4 1\n3…

Explanation:

Step1: Calculate $X^{2}$ for each row

For $X = 4$, $X^{2}=4^{2}=16$; for $X = 3$, $X^{2}=3^{2}=9$; for $X = 2$, $X^{2}=2^{2}=4$; for $X = 1$, $X^{2}=1^{2}=1$.

Step2: Multiply by frequency and sum

For $X = 4,f = 1$, product is $16\times1 = 16$; for $X = 3,f = 0$, product is $9\times0 = 0$; for $X = 2,f = 2$, product is $4\times2=8$; for $X = 1,f = 1$, product is $1\times1 = 1$. Then $\sum X^{2}=16 + 0+8 + 1=25$.

Answer:

25