Question

The weights, in pounds, for 15 horses in a stable were

Answer 1

The median value remains unchanged if the four values are reported using the corrected weight.

The correct answer is an option (B)

We know that the mean is calculated by finding the sum of all the weights of the horses and then dividing by the number of horses.

Decreasing one of the weights would decrease the sum and therefore decrease the mean.

So, the choice A is incorrect.

We know that the range is the difference between the highest and lowest weights, so decreasing the lowest weight would increase the range.

So, the choice C is incorrect.

We know that the Standard deviation is calculated based on the mean weight of the horses.

And decreasing one of the weights decreases the mean and therefore would affect the standard deviation.

So, the choice D is incorrect.

Now, as we know the median the middle value in a sorted, ascending or descending list of values.

So, the median weight is found by ordering the horses’ weights from least to greatest and then determining the middle value from this list of weights.

Decreasing the value for the horse with the lowest weight doesn’t affect the median since it’s still the lowest value.

Therefore, the median value remains unchanged if the four values are reported using the corrected weight.

The correct answer is an option (B)

Learn more about the median here:

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