Question

the table below shows a students quiz scores on four quizzes.
scores
19
17
17
15
find this students mean quiz score.
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question 2
find the mean for the recorded exam scores (in points) from a statistics exam. round the answer to decimal place.
61 73
52 77
25 96
41 21
47 18
4 11
49 6
1
mean =

Explanation:

Sub - Question 1: Find the student’s mean quiz score

Step 1: Sum the quiz scores

The scores are 19, 17, 17, and 15. So we calculate the sum: $19 + 17+17 + 15$.
$19+17 = 36$, $36 + 17=53$, $53+15 = 68$.

Step 2: Divide the sum by the number of quizzes

There are 4 quizzes. The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 4$ and $\sum_{i=1}^{4}x_{i}=68$. So the mean is $\frac{68}{4}$.
$\frac{68}{4}=17$.

Step 1: List all the exam scores

The scores are: 61, 73, 52, 77, 25, 96, 41, 21, 47, 18, 4, 11, 49, 6, 1.

Step 2: Calculate the sum of the scores

We add them one by one:
$61+73 = 134$; $134+52 = 186$; $186+77 = 263$; $263+25 = 288$; $288+96 = 384$; $384+41 = 425$; $425+21 = 446$; $446+47 = 493$; $493+18 = 511$; $511+4 = 515$; $515+11 = 526$; $526+49 = 575$; $575+6 = 581$; $581+1 = 582$.

Step 3: Determine the number of scores

Count the number of scores: there are 15 scores.

Step 4: Calculate the mean

Using the mean formula $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 15$ and $\sum_{i = 1}^{15}x_{i}=582$. So the mean is $\frac{582}{15}$.
$\frac{582}{15}=38.8$.

Answer:

17

Sub - Question 2: Find the mean of the exam scores