This histogram shows the times, in minutes, required for 25 rats in an animal be
ID: 3200469 • Letter: T
Question
This histogram shows the times, in minutes, required for 25 rats in an animal behavior experiment to successfully navigate a maze. Assume that the largest observation in this dataset is 8.6 minutes. If this observation were wrongly recorded as 86, then what would happen to the mean and median? Neither the mean nor the median would change. Both the mean and the median would change. The mean would stay the same, but the median would change. The mean would decrease, but the median would not change. The mean would increase, but the median would not change.Explanation / Answer
E. The mean would increase but median would not change.
The median is a simple measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. If there is an odd number of observations, the median is the middle value. If there is an even number of observations, the median is the average of the two middle values.
Here in the question, we have 25 rats (observations), so the there is one median value which lies in the middle. And no matter what the highest observation value is, as long as its position doesnt change, it remains the median.
Ex: 1,2,3,4,5 has median 3
1,2,3,4,89 also has median 3
The statistical mean refers to the mean or average that is used to derive the central tendency of the data in question. It is determined by adding all the data points in a population and then dividing the total by the number of points. The resulting number is known as the mean or the average.
As the data points are changing, the value of mean changes. As one observation's value has increased and the others remain same along with number of observations, the value of mean changes. As the new data point is greater than earlier data point, mean of the observations increases.
Ex: 1,2,3,4,5 has mean of 3
1,2,3,4,89 has mean of 19.8
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