Exploring Measures of Central Tendency in Statistics

What does descriptive statistics primarily deal with?

• Inferential predictions

• Central tendencies

• Hypothesis testing

• Experimental design

In statistics, what is the mean also known as?

• Average

• Range

• Mode

• Median

How is the mean calculated in a data set?

• By subtracting the smallest value from the largest value

• By ordering the data and finding the middle value

• By dividing the sum of all values by the number of values

• By finding the most frequent value

Which notation is used to represent the sum of elements in a data set?

• Pi notation

• Delta notation

• Alpha notation

• Sigma notation

What is the median best described as in a data set?

• The difference between the highest and lowest values

• The most frequent value

• The sum of all values divided by their count

• The middle value when data is ordered

Why is the mode considered less useful in statistics?

• It always equals the mean

• It may not reflect the characteristics of the population

• It does not provide information about variability

• It is difficult to calculate

What impact do outliers have on the mean?

• They can skew the mean significantly

• They make the mean more accurate

• They reduce the mean's value

• No impact

Which measure of central tendency is most affected by skewed data?

• Median

• None of the above

• Mode

• Mean

When might the median be a better measure than the mean?

• When data is symmetric

• When data is without outliers

• When data is highly skewed

• When the data set is small

What is the primary reason to use the median over the mean in reporting incomes?

• It provides a measure of variability

• It always increases with the sample size

• It is less influenced by extreme values

• It is easier to calculate