QuestionFind the mean of the scores $\{8,8,9,10,7,4\}$ for a sample of size $n=6$ .

Studdy Solution

STEP 1

Assumptions1. The sample size is $n=6$ . The sample scores are $\{8,8,9,10,7,4\}$

STEP 2

The mean of a sample is calculated by adding up all the scores in the sample and then dividing by the number of scores. The formula for the mean is $Mean = \frac{Sum\, of\, all\, scores}{Number\, of\, scores}$

STEP 3

First, we need to find the sum of all scores. We can do this by adding up all the scores in the sample.
$Sum\, of\, all\, scores =8 +8 +9 +10 +7 +$

STEP 4

Calculate the sum of all scores.
$Sum\, of\, all\, scores =8 +8 +9 +10 +7 +4 =46$

STEP 5

Now that we have the sum of all scores, we can calculate the mean by dividing this sum by the number of scores.
$Mean = \frac{Sum\, of\, all\, scores}{Number\, of\, scores}$

STEP 6

Plug in the values for the sum of all scores and the number of scores to calculate the mean.
$Mean = \frac{46}{6}$

STEP 7

Calculate the mean.
$Mean = \frac{46}{6} \approx7.67$ The mean of the sample is approximately7.67.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

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

Parents Influencer program Contact Policy Terms