Question Bank: Measures of Central Tendency

What is the primary purpose of measures of central tendency?

Which of the following is NOT a commonly used measure of central tendency?

When is the median particularly useful?

How do you calculate the arithmetic mean?

For the data set {3, 7, 7, 4, 9}, what is the mode?

Which average would you use to best represent the income of a population that has a few extremely high earners?

What does the term 'mode' refer to in statistics?

In a set of marks: 35, 45, 45, 50, 60, what is the median?

If a dataset has an equal number of occurrences for two values, what can be said about the mode?

Which measure of central tendency is best for nominal data?

Which of the following statements about the arithmetic mean is false?

When should you compute the geometric mean?

For the data: {10, 20, 30, 40, 100}, how does the arithmetic mean compare to the median?

Which average is best to represent the most typical value in a highly skewed distribution?

What is the formula for calculating the arithmetic mean of a set of observations?

If the observations are 10, 20, 30, and 40, what is the arithmetic mean?

In a class, the marks of students are 50, 70, 80, 90, and 60. What is the median?

Which average would you use if you want to minimize the impact of outliers?

What happens to the arithmetic mean if an extreme outlier is added to the data set?

Given the observations: 1, 1, 2, 3, 3, 4, what is the arithmetic mean?

When using the direct method to calculate the arithmetic mean of grouped data, what is multiplied by the frequency?

In a data set where each value is 5, what is the arithmetic mean?

If you change one value in the data set from 30 to 100, how is the arithmetic mean affected?

Which method is usually preferred for calculating the arithmetic mean in a large dataset?

In the formula for arithmetic mean of grouped data, what does Σf represent?

If the arithmetic mean of a dataset is calculated to be 25, what can be inferred about the data?

If the average score of 20 students is found to be 80, what will be the total score of all students?

What is one limitation of arithmetic mean?

If there are 100 observations with the highest being 130 and the lowest being 70, what might the arithmetic mean be?

What is the median of the following set of numbers: 1, 3, 3, 6, 7, 8, 9?

If a data set has an even number of observations, how do you calculate the median?

In a dataset of weekly sales figures: 100, 200, 300, 400, 500, what is the median?

For the income data of 6 individuals: 20000, 30000, 40000, 50000, 60000, 70000, what is the median income?

Which formula is used to determine the median in a continuous frequency distribution?

In the given continuous class: 20-30 (5), 30-40 (10), 40-50 (15), which class is the median?

If the cumulative frequency of the median class is 45 and the lower limit is 60 with a frequency of 10, what is the median class if N = 90?

For the discrete series data: 5, 7, 9, 10, find the median.

What does the median represent in a data set?

In a class containing 60 students where 20 students scored 50, 30 scored 60, and 10 scored 70, what is the median score?

What is the first step in calculating the median from an ordered dataset?

For which of the following would the mode equal the median?

If the dataset consists of 2, 2, 2, 8, 10, what happens to the median if one more value '8' is added?

In a dataset with 100 observations, where the 50th and 51st values are 45 and 50 respectively, what is the median?

What is the mode in a frequency distribution?

In a dataset where the mode is 15, which of the following cannot be true?

When is the mode particularly useful for data analysis?

Which class interval will be chosen as the modal class if the following frequencies are given: 5, 15, 30, 10?

In a frequency distribution of family incomes, which of the following methods can be used to find the mode?

If a dataset has multiple modes, it is called?

Which of the following is a characteristic of the mode?

If the class intervals and their frequencies are as follows: 10-15 (5), 15-20 (10), 20-25 (15), 25-30 (10), what would be the mode using the formula method?

Which scenario would be most appropriately analyzed using the mode?

Using the following data, if the class intervals show the highest frequency of 30 in 25-30, what will be the mode?

Which of the following statements about mode is incorrect?

Which calculation process exclusively identifies the modal value in a frequency table?

In an exclusive frequency table, how do you find the mode if two classes have the same highest frequency?

Given a distribution with income levels, if the mode is 50, this indicates:

Which measure of central tendency is least affected by extreme values?

Which average would most accurately represent a dataset with extreme outliers?

In terms of application, which average is primarily used for qualitative data?

In a symmetrical distribution, which of the following is true regarding the relative positions of mean, median, and mode?

What is the main characteristic of the arithmetic mean?

Which average would be most useful for analyzing qualitative data?

When dealing with open-ended frequency distributions, which measure can be easily computed?

If in a dataset, the median is greater than the mean, which type of skewness is likely present?

If a data set is highly skewed, which average should be preferred?

What is the relationship of the median to the arithmetic mean and mode in a negatively skewed distribution?

How is the relationship between the arithmetic mean, median, and mode described in a normal distribution?

Which of the following averages is influenced the most by extreme values?

What is the algebraic sum of deviations of a set of values from the arithmetic mean?

Which average is best when the data has a significant amount of open-ended intervals?

Which measure of central tendency is defined as the value that occurs most frequently?

In which scenario is the mode most useful?

In which of the following scenarios would the arithmetic mean provide misleading information?

If a dataset has the following values: 2, 4, 4, 6, 8, what is the mode?

What kind of data is best represented by the mode?

Which measure should be used to summarize a skewed distribution with a few outliers?

If presented with open-ended data intervals, what can you compute?

Which average provides a single representative value when data is varied and non-uniform?

Which average is most likely to change drastically with the addition of an outlier?

When comparing groups with qualitative data, which average is preferable?

Which average would you use to summarize student grading where possible scores range widely?

Which of the following statements about the arithmetic mean is NOT true?

What is a significant limitation of the mode as a measure of central tendency?

In a dataset with values 1, 3, 5, 7, 9, what is the median?

When should the geometric mean be used instead of the arithmetic mean?