Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Oct 27, 2023

Confirm if $\sum X \cdot f = 18$ for the given distribution of scores: $X = \{4, 3, 2, 1\}$ and $f = \{1, 2, 3, 2\}$ .

STEP 1

Assumptions1. The values of X are4,3,, and1. . The corresponding frequencies are1,,3, and respectively.
3. The sum of all the values in the distribution, each multiplied by its frequency, is represented by $\mathrm{}X$ .

STEP 2

First, we need to calculate the sum of all the values in the distribution, each multiplied by its frequency. This can be done by multiplying each value of X by its corresponding frequency and then adding all these products together.
$\mathrm{}X = \sum_{i=1}^{n} X_i \cdot f_i$

STEP 3

Now, plug in the given values for X and f to calculate $\mathrm{}X$ .
$\mathrm{}X = \cdot1 +3 \cdot2 +2 \cdot3 +1 \cdot2$

STEP 4

Calculate the sum.
$\mathrm{}X =4 +6 +6 +2 =18$

STEP 5

Now that we have calculated $\mathrm{}X$ , we can compare it with the given value of $\mathrm{}X$ to confirm if they are equal.
The calculated $\mathrm{}X$ is18, which is equal to the given $\mathrm{}X$ . Therefore, $\mathrm{}X =18$ is confirmed.

Was this helpful?

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Contact Influencer program Policy Terms