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.