A programmer wrote the following code segment to calculate and display the average of all the elements in a list called numbers. The list contains at least one number. ```plaintext Line 1: count ← 0 Line 2: sum ← 0 Line 3: FOR EACH value IN numbers Line 4: { Line 5: count ← count + 1 Line 6: sum ← sum + value Line 7: average ← sum / count Line 8: } Line 9: DISPLAY(average) ``` The programmer intends to minimize the number of operations performed during execution. Which change would result in a correct program that performs fewer operations? Select one: a. Interchanging line 1 and line 2 b. Interchanging line 5 and line 6 c. Interchanging line 6 and line 7 d. Interchanging line 7 and line 8 The correct change to reduce the number of operations is: d. Interchanging line 7 and line 8 This is because calculating the average should be done after all the values have been summed and counted. Currently, the average is recalculated for every element in the list, leading to unnecessary operations. After the change, the calculation will be done just once, after the loop.

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The correct change to reduce the number of operations is:

d. Interchanging line 7 and line 8

By making this change, the average is calculated only once after summing all the values and counting them, which is after the loop has completed. So the revised code should look like the following:

```plaintext Line 1: count ← 0 Line 2: sum ← 0 Line 3: FOR EACH value IN numbers Line 4: { Line 5: count ← count + 1 Line 6: sum ← sum + value Line 8: } Line 7: average ← sum / count Line 9: DISPLAY(average) ```

This change allows the program to execute fewer operations because the average is calculated once rather than being recalculated with each iteration of the loop.