Measures of Central Tendency

Why are measures of central tendency important in statistics?

1. They eliminate the need to collect data.
2. They summarize large datasets into a single representative value, making comparison and analysis easier.
3. They replace all other statistical measures.
4. They are used only in mathematics.

Which statement correctly compares the mean, median, and mode?

1. All three are always equal.
2. Mean uses all observations, median depends on position, and mode depends on frequency.
3. Median uses all observations equally.
4. Mode is always larger than the mean.

The arithmetic mean is most appropriate when:

1. Data contain many extreme values.
2. All observations are numerical and reasonably free from extreme values.
3. Data consist only of categories.
4. Only the middle observation is required.

Which measure of central tendency is commonly used to determine the most popular product size sold in a store?

1. Arithmetic Mean
2. Median
3. Mode
4. Harmonic Mean

Which of the following is a limitation of the arithmetic mean?

1. It ignores all observations.
2. It is affected by extreme values.
3. It cannot be calculated for numerical data.
4. It cannot be used in economics.

Which measure of central tendency may have more than one value?

1. Arithmetic Mean
2. Median
3. Mode
4. Geometric Mean

Which measure is most suitable for studying income distribution with extremely high incomes?

1. Arithmetic Mean
2. Median
3. Harmonic Mean
4. Geometric Mean

Which measure of central tendency uses every observation in the dataset?

1. Mode
2. Median
3. Arithmetic Mean
4. None of these

When the number of observations is even, the median is obtained by:

1. Taking the first observation
2. Taking the last observation
3. Calculating the average of the two middle observations
4. Finding the most frequent observation

Which measure of central tendency can be determined even for qualitative data?

1. Arithmetic Mean
2. Median
3. Mode
4. Geometric Mean

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

1. Arithmetic Mean
2. Median
3. Mode
4. Geometric Mean

The arithmetic mean is calculated by:

1. Dividing the largest observation by the smallest observation
2. Dividing the sum of all observations by the total number of observations
3. Finding the most frequent observation
4. Finding the middle observation only

Which of the following is not a measure of central tendency?

1. Mean
2. Median
3. Mode
4. Range

What is the primary purpose of a measure of central tendency?

1. To calculate the total number of observations only
2. To represent an entire dataset with a single representative value
3. To find the largest observation only
4. To arrange data alphabetically