Math

QuestionFind where to place the missing value of 6 on a seesaw graph, given total distances below and above the mean are 5 and 7, respectively.

Studdy Solution

STEP 1

Assumptions1. The total distance below the mean is5 points. The total distance above the mean is7 points3. The missing value is64. The seesaw graph needs to be balanced, which means the total distance below the mean should equal the total distance above the mean.

STEP 2

First, we need to determine whether the missing value is above or below the mean. If the total distance above the mean is greater than the total distance below the mean, then the missing value must be below the mean. If the total distance below the mean is greater than the total distance above the mean, then the missing value must be above the mean.

STEP 3

Since the total distance above the mean (7 points) is greater than the total distance below the mean (5 points), the missing value must be below the mean.

STEP 4

Next, we need to calculate how far below the mean the missing value should be placed in order to balance the graph. We can do this by subtracting the total distance below the mean from the total distance above the mean.
Distancebelowthemean=TotaldistanceabovethemeanTotaldistancebelowthemeanDistance\, below\, the\, mean = Total\, distance\, above\, the\, mean - Total\, distance\, below\, the\, mean

STEP 5

Now, plug in the given values for the total distance above the mean and the total distance below the mean to calculate the distance below the mean.
Distancebelowthemean=75Distance\, below\, the\, mean =7 -5

STEP 6

Calculate the distance below the mean.
Distancebelowthemean=5=2Distance\, below\, the\, mean = -5 =2

STEP 7

Now that we have the distance below the mean, we can determine where on the graph the missing value should be placed. Since the missing value is6 and it should be placed2 points below the mean, the mean of the graph must be.
Mean=Missingvalue+DistancebelowthemeanMean = Missing\, value + Distance\, below\, the\, mean

STEP 8

Plug in the values for the missing value and the distance below the mean to calculate the mean.
Mean=6+2Mean =6 +2

STEP 9

Calculate the mean of the graph.
Mean=6+2=8Mean =6 +2 =8The missing value should be placed2 points below the mean, which is8. Therefore, the missing value should be placed at the point corresponding to the number6 on the graph.

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