A series of houses are surveyed and found to have 1, 2, 2, 2, 3, 4, 4, 6. 7 children respectively. Find the mean median and mode of the following:
Correct Answer: 3.3.2
Description: Ref: K. Pork. Textbook of Preventive and Social Medicine,. 22nd edition. P 790Explanation:Mean, median and mode are the measures of central tendency.Mean:It is calculated by summing all the observations and then dividing by number of observations. It is generally denoted by .x. It is calculated as follows.Mean (x) = Sum of the values of all observations (Sx) / Total number of observations (n)Mathematicallyx = Sx / nIt is influenced by extreme valuesMedian:Median is a locative measure which is the middlemost observation after all the values are arranged in ascending or descending order. In other words median is that -value which divides the entire data set into 2 equal parts, when the data set is ordered in an ascending (or descending) fashion.In case when there is odd number of observations we have a single most middle value which is the median value. In case when even number of observations is present there are two middle values and the median is calculated by taking the mean of these two middle observations. Thus!Median ={ n +1 /2 : when n is odd}Unlike mean, median is not influenced by extreme values.Mode:Mode is the most common value that repeats itself in the data set.Though mode is easy to calculate, at times it may he impossible to calculate mode if we do not have any value repeating itself in the data set.In this case mean is 3.3, median 2.5 and mode is 2. Most suitable option is C.
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