Question 1205060
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Refer to this page
<a href="https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Inferential_Statistics_and_Probability_-_A_Holistic_Approach_(Geraghty)/13%3A_One_Factor_Analysis_of_Variance_(ANOVA)/13.05%3A_Understanding_the_ANOVA_Table">https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Inferential_Statistics_and_Probability_-_A_Holistic_Approach_(Geraghty)/13%3A_One_Factor_Analysis_of_Variance_(ANOVA)/13.05%3A_Understanding_the_ANOVA_Table</a>


At the top of that page is the ANOVA template.
Instead of "factor" we'll use "between".
Instead of "error" we'll use "within".


Here's the table your teacher has given you
<table border = "1" cellpadding = "5"><tr><td></td><td>SS</td><td>df</td><td>MS</td><td>F</td></tr><tr><td>Between</td><td>1723.267</td><td>7</td><td></td><td></td></tr><tr><td>Within</td><td></td><td></td><td></td><td></td></tr><tr><td>Total</td><td>2999.267</td><td>51</td><td></td><td></td></tr></table>
We know the SS (sum of squares) values for rows 1 and 3. 
The missing SS value is the difference of the two given SS values.


SS within = (SS total) - (SS between)
SS within = 2999.267 - 1723.267
SS within = 1276


Let's update the table
<table border = "1" cellpadding = "5"><tr><td></td><td>SS</td><td>df</td><td>MS</td><td>F</td></tr><tr><td>Between</td><td>1723.267</td><td>7</td><td></td><td></td></tr><tr><td>Within</td><td>1276</td><td></td><td></td><td></td></tr><tr><td>Total</td><td>2999.267</td><td>51</td><td></td><td></td></tr></table>


Refer back to the link I mentioned.
Focus on the "degrees of freedom (df)" column.
The df expressions are:
between = k-1
within = n-k
total = n-1


Notice that 
df total = (df between) + (df within) = (k-1)+(n-k) = n-1 


The df value for "between" is 7
k-1 = 7
k = 7+1
k = 8
The df value for "total" is 51
n-1 = 51
n = 51+1
n = 52
Therefore
df within = n-k = 52-8 = 44


Or we could say
df within = (df total) - (df between)
df within = 51 - 7
df within = 44
which is a faster shortcut.


Let's update the table
<table border = "1" cellpadding = "5"><tr><td></td><td>SS</td><td>df</td><td>MS</td><td>F</td></tr><tr><td>Between</td><td>1723.267</td><td>7</td><td></td><td></td></tr><tr><td>Within</td><td>1276</td><td>44</td><td></td><td></td></tr><tr><td>Total</td><td>2999.267</td><td>51</td><td></td><td></td></tr></table>

According to that link I posted, 
MS between = (SS between)/(df between)
MS between = (1723.267)/(7)
MS between = 246.181
and,
MS within = (SS within)/(df within)
MS within = (1276)/(44)
MS within = 29
There doesn't exist "MS total". 
We'll leave that cell blank.
"MS" stands for "Mean Square".


Let's update the table
<table border = "1" cellpadding = "5"><tr><td></td><td>SS</td><td>df</td><td>MS</td><td>F</td></tr><tr><td>Between</td><td>1723.267</td><td>7</td><td>246.181</td><td></td></tr><tr><td>Within</td><td>1276</td><td>44</td><td>29</td><td></td></tr><tr><td>Total</td><td>2999.267</td><td>51</td><td></td><td></td></tr></table>


We have one last gap to fill in.
To get the F statistic, we divide the MS between over the MS within


F = (MS between)/(MS within)
F = (246.181)/(29)
F = 8.489


Here is the fully completed ANOVA table.
<table border = "1" cellpadding = "5"><tr><td></td><td>SS</td><td>df</td><td>MS</td><td>F</td></tr><tr><td>Between</td><td>1723.267</td><td>7</td><td>246.181</td><td>8.489</td></tr><tr><td>Within</td><td>1276</td><td>44</td><td>29</td><td></td></tr><tr><td>Total</td><td>2999.267</td><td>51</td><td></td><td></td></tr></table>
The two cells under the F statistic are left blank.


Some ANOVA tables will include the F critical value and/or the p-value. However, I'll stop here since it appears your teacher wants just up to the F statistic.


Side note: This applies to single factor ANOVA only.
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