18 Questions
What is the most frequently repeated value in the dataset 5, 4, 2, 3, 2, 1, 5, 4, 5?
5
In a symmetrical distribution of continuous data, which measures of central tendency coincide?
Mean, Median, and Mode
What is the ideal measure of central tendency in a symmetrical distribution?
Mean
Which measure of central tendency is best suited for a skewed distribution of data?
Median
Which measure of central tendency is best suited when data is categorized?
Mode
What is another measure of central tendency besides Mean, Median, and Mode?
Mid-range
What is the primary goal of the central tendency in statistics?
To give an accurate description of the entire data in a distribution
What is the formula to calculate the mean value of a dataset?
(𝑥1 + 𝑥2 + ...)/n
What is the condition under which all geometric, arithmetic, and harmonic mean values are the same?
When all values in the dataset are the same
Which of the following is NOT a measure of central tendency?
Correlation
What is the weighted mean used for?
To find the central tendency of a dataset with different weights
How many measures of central tendency are mentioned in the text?
3
What is the midrange in a set of data?
The average of the lowest and highest scores in a set of data
What is the formula for the arithmetic mean?
Arithmetic Mean = (Sum of all values) / (Total number of values)
Why is the arithmetic mean influenced by outliers?
Because it is sensitive to extreme values in the dataset
What is the formula for the geometric mean?
Geometric Mean = (Π (value1 * value2 ... valuen))^(1/n)
What is a characteristic of the arithmetic mean?
It is the most commonly used measure of central tendency due to its simplicity
What is a limitation of the midrange?
It is prone to bias due to its dependence on extreme values
Test your understanding of central tendency, a statistical measure that summarizes a dataset with a single value. Learn how it represents the center of the data distribution without providing information on individual data points.
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