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To calculate the squared differences of the values in this table, we first need a reference value to subtract each entry from. Typically, the mean (average) is used for this purpose when calculating variance or standard deviation. Let me walk you through the steps:

### Step 1: Calculate the mean of the data set
Here are the numbers from the table:

90, 70, 90, 90, 60  
60, 70, 90, 80, 80  
80, 80, 70, 90, 60  
70, 90, 90, 70, 90  
60, 90, 90, 80, 80  
90, 70, 90, 70, 70

Now sum all the values:

\[
(90 + 70 + 90 + 90 + 60) + (60 + 70 + 90 + 80 + 80) + (80 + 80 + 70 + 90 + 60) + (70 + 90 + 90 + 70 + 90) + (60 + 90 + 90 + 80 + 80) + (90 + 70 + 90 + 70 + 70) = 2220
\]

The total number of values is 30 (6 rows × 5 columns).

Now, calculate the mean:
\[
\text{Mean} = \frac{2220}{30} = 74
\]

### Step 2: Calculate the squared differences
Now, for each value in the table, subtract the mean (74) and square the result. Here is the formula for squared differences for each value \( x \):

\[
(x - \text{mean})^2 = (x - 74)^2
\]

Here are the squared differences for each number in the table:

- \( (90 - 74)^2 = 256 \)
- \( (70 - 74)^2 = 16 \)
- \( (90 - 74)^2 = 256 \)
- \( (90 - 74)^2 = 256 \)
- \( (60 - 74)^2 = 196 \)

...

I will now compute the squared differences for all the values in the table.

Squared differences of the values in the provided table

Learn how to calculate squared differences for a data set. This problem involves finding the mean and computing the variance using squared differences. It covers key statistical concepts and is suitable for students in Grades 9-12.

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