The most appropriate measure of central tendency depends on the nature of the data. The mean is useful for normally distributed data without outliers, while the median is better for skewed distributions or when outliers are present, as it provides a more accurate representation of the central point. The mode is ideal for categorical data where we want to identify the most frequently occurring value. Therefore, the context and characteristics of the data should guide the choice of measure.
None. The data set has no elements and so there cannot be any central tendency.
The median is more useful than the mean in situations where the data set contains outliers or is skewed. For example, in household income data, where a few extremely high incomes can distort the average, the median provides a better representation of the typical income level. This makes the median a more reliable measure for understanding central tendency in such cases.
This would be the average. When the numbers are all over the place, it is difficult to use them to come to conclusions.
The answer depends on what you mean by an "orgive" - which is not recognised as a word in the English language. If you mean an ogive, then the answer would be the median.
The arithmatic mean is not a best measure for central tendency.. It is because any outliers in the dataset would affect its value thus it is considered not a robust measure.. The mode or median however would be better to measure central tendency since outliers wont affect it value.. Consider this example : Arithmatic mean dan mode from 1, 5, 5, 9 is 5.. If we add 30 to the dataset then the arithmatic mean will be 10 but the mode will still same.. Mode is more robust than arithmatic mean..
The most appropriate measure of central tendency depends on the nature of the data. The mean is useful for normally distributed data without outliers, while the median is better for skewed distributions or when outliers are present, as it provides a more accurate representation of the central point. The mode is ideal for categorical data where we want to identify the most frequently occurring value. Therefore, the context and characteristics of the data should guide the choice of measure.
When a few outliers skew the distribution curve. 4 guys in a bar: # 1 earns $5000 #2 earns $6000 #3 earns $7000 #4 earns $100,000
The outlier 57 affects the measure of central tendency by increasing the numbers and making the problems difficult.
Since gender is a qualitative variable, the mode is the only one of the main measures of central tendency.
None. The data set has no elements and so there cannot be any central tendency.
The variable, height, is a continuous variable. The mode is not a good measure of central tendency for continuous variables because you would need a very large number of observations (pupils) before you are likely to get a useful number of repeat values. The modal class may be a good measure. Provided you do not have extremely short or extremely tall pupils, the mean would probably be the best.
well...the measures of the central tendency would be 30 minutes
When you are trying to summarise data.
Yes. Central tendency is the way data clusters around a value. Even if the distribution of the value is skewed, the median would be the best indicator of central tendency because of the way the data is clustered.
mode
Mode