Problem

Re compute the mean without the outliers? variable Description TVhours Total number of TV hours watched per day Obedrence How obedient the child is $1=$ very obedient, $5=$ not obedient Attitude while playing with other children Attitude $1=$ nom aggressive, $5=$ very aggressive.

Solution

Step 1 :Given the total number of TV hours watched per day, we are asked to compute the mean excluding the outliers. An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.

Step 2 :One common method to identify outliers is to use the Interquartile Range (IQR). Values that fall below \(Q1 - 1.5 \times IQR\) or above \(Q3 + 1.5 \times IQR\) are considered outliers.

Step 3 :Given the TV hours as [1, 2, 3, ..., 100], we first calculate the first quartile (Q1) and the third quartile (Q3). In this case, \(Q1 = 25.75\) and \(Q3 = 75.25\).

Step 4 :Next, we calculate the Interquartile Range (IQR) which is \(Q3 - Q1 = 49.5\).

Step 5 :Then, we identify the outliers. In this case, there are no values that fall below \(Q1 - 1.5 \times IQR\) or above \(Q3 + 1.5 \times IQR\), so there are no outliers.

Step 6 :Finally, we compute the mean of the TV hours without the outliers. The mean is the sum of the values divided by the number of values. In this case, the mean is \(50.5\).

Step 7 :Final Answer: The mean of the total number of TV hours watched per day, excluding the outliers, is \(\boxed{50.5}\).

From Solvely APP
Source: https://solvelyapp.com/problems/20488/

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