Determine the maximum and minimum values for the following set.10, –45, 46, 15, –42, –13
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How do you do it?
To determine the maximum and minimum values in a set, you need to compare each number to the others and identify the highest and lowest values.
Let's evaluate the given set: 10, -45, 46, 15, -42, -13.
To find the maximum value, start by comparing any two numbers from the set. Take the first pair: 10 and -45. Since 10 is greater than -45, we can conclude that 10 is the maximum value for now.
Now, compare the current maximum value, 10, to the next number in the set: 46. Since 46 is greater than 10, we can update the maximum value to 46.
Next, compare the current maximum value, 46, to the next number in the set: 15. Since 46 is greater than 15, the maximum value remains as 46.
Moving on, compare the current maximum value, 46, to the next number in the set: -42. Since 46 is greater than -42, the maximum value remains as 46.
Finally, compare the current maximum value, 46, to the last number in the set: -13. Since 46 is greater than -13, the maximum value remains as 46.
Therefore, the maximum value in the set is 46.
To find the minimum value, we follow the same steps but compare the numbers to identify the lowest value.
Start by comparing any two numbers from the set. Take the first pair: 10 and -45. Since -45 is smaller than 10, we can conclude that -45 is the minimum value for now.
Now, compare the current minimum value, -45, to the next number in the set: 46. Since -45 is smaller than 46, the minimum value remains as -45.
Next, compare the current minimum value, -45, to the next number in the set: 15. Since -45 is smaller than 15, the minimum value remains as -45.
Moving on, compare the current minimum value, -45, to the next number in the set: -42. Since -45 is smaller than -42, the minimum value remains as -45.
Finally, compare the current minimum value, -45, to the last number in the set: -13. Since -45 is smaller than -13, the minimum value remains as -45.
Therefore, the minimum value in the set is -45.
In conclusion, the maximum value in the given set is 46, and the minimum value is -45.