Respuesta :
Answer:
The Measure of Central Tendency are
1. Mean
2. Median and Quartiles
3. Mode
4. Geometric Mean
5. Harmonic Mean
→When all the five Measure of Dispersion are Same, it means the two data sets have Identical Variate.
→Now consider the two data sets,
A=3,4,4,5
B=1,4,4,7
Both the Data set have , same mean, median, and Mode,which is equal to 4.
→When you will consider, First three as Measure of central tendency ,then it becomes incorrect statement ,that Data Set are same.
Step-by-step explanation:
A measure of central tendency is a descriptive statistic
The correct response to the question is as follows;
Yes; A data having two modes can have two points of central tendency
The reason a dataset having two modes can have two points of central tendency is as follows:
A dataset having two modes is said to be bimodal
A dataset having three modes is said to be trimodal
A dataset having more than three modes is said to be multimodal
A measure of central tendency is a type of summary statistics that is a
single value representing the center point, or average of a set of data
thereby providing a description of the data by telling the middle value, the
average or the most common value which is the mode
As can be seen from the given example, by having two modes, a bimodal
data set describes a data that has two points of central tendency, thereby
giving a description of the data type, which for example may a collection
of the height of individuals, male and female, that have two most common
height values for each gender
Therefore, the correct response is yes, a dataset having two modes can
have two points of central tendency because the mode is a measure of
central tendency which is a descriptive statistics
Learn more about the measures of central tendency here:
https://brainly.com/question/17762288
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