Explain about of the measure of central tendency that is

vazelinahS

vazelinahS

Answered question

2021-09-15

Explain about of the measure of central tendency that is most appropriate for these data.

Answer & Explanation

grbavit

grbavit

Skilled2021-09-16Added 109 answers

The given information is that the data represents the heights (in inches) of 10 CEO's.
Median:
In a distribution, the center value of the data when listed in numeric order is termed as median.
The median is not react by the outliers in the data but the mean value is affected
It is used to explain the data in skewed distributions and ordinal scale data
Negatively skewed distribution:
If the tail of the distribution is elongated towards the left, then it is a left-skewed distribution. It is also called as negatively skewed. For negatively skewed, mean<median<mode.
For negatively skewed distribution mean is less than the mode.
Arrange the data in numeric order.
64,66,70,72,72,75,75,75,79,79
Here, if the values are represents in numeric order most of the values are essentially small that is, most of the values are towards the left tail in a graph. Hence, the shape of the distribution is negatively skewed.
Therefore, the median is the appropriate measure of central tendency that is most appropriate for these data.

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