Question Bank: Statistics

What is the mode of the following grouped data? Age (in years) | No. of patients: 5-15 | 6, 15-25 | 11, 25-35 | 12, 35-45 | 23, 45-55 | 14, 55-65 | 5.

In a frequency distribution of lifetimes (0-20 | 10, 20-40 | 35, 40-60 | 26, 60-80 | 13, 80-100 | 38, 100-120 | 29), what is the modal range?

How do you calculate the class interval for the mode of grouped data?

If the mode is determined from a frequency distribution, why might it sometimes not represent the data accurately?

Given the following age distribution: 10-20 | 15, 20-30 | 25, 30-40 | 35, 40-50 | 40. What is the modal class?

In a grouped data set, if the frequencies of classes are: 1, 3, 3, 2, which class is modal?

For the modal class interval determination, the count of which data class is crucial?

What is a common limitation of using mode as the sole measure of central tendency in grouped data?

In the data set: Lifetimes (0-20 | 10, 20-40 | 35, 40-60 | 26, 60-80 | 13), which interval contributes most to the mode?

How is the modal class defined when data is grouped?

When data is grouped and two classes have the same highest frequency, what is this situation called?

If the frequencies of classes increase progressively, how would you describe the mode?

In the following data set: (0-10 | 2, 10-20 | 3, 20-30 | 6, 30-40 | 6), which is the mode?

Given a data distribution, when is it impossible to determine a mode?

If you have a grouped frequency distribution where the highest frequency class has multiple values tied, what is the next step for analysis?

What is the formula to calculate the mean of grouped data?

If the marks obtained by students are summed as Σfx = 4200 and the total number of students is 30, what is the mean?

What does the symbol Σ represent in statistics?

Which of the following is NOT necessary to calculate the mean of grouped data?

A frequency distribution shows that the number of students scoring marks (0-10, 11-20, etc.) in intervals. If you want to find the mean, what must you compute for each interval?

In a group of students, the frequency distribution of scores shows the following: 5 students scored 10, 7 scored 20, and 3 scored 30. What is the mean score?

Which of the following statements about the mean of grouped data is true?

Find the mean of the grouped data if the sum of frequencies is 50 and the sum of products of frequencies and midpoints is 2500.

What is the first step in calculating the median for grouped data?

If a grouped frequency table shows a mean of 30, what does that imply?

In a frequency distribution, if the cumulative frequency reaches 30 and the median lies in the class interval 20-25, what is the median class?

In a frequency distribution, if the mean is less than the median, what can be inferred about the data distribution?

To find the median of grouped data, which of the following formulas is used?

In a group of 100 data points, if a new data point significantly lower than the mean is added, what will happen to the mean?

If a frequency distribution has classes 0-10, 10-20, and 20-30 with respective frequencies 5, 10, and 15, what is the median?

What is the mean of the following grouped data: 10 students scored 18, 15 students scored 22, and 5 students scored 30?

How does the presence of an even number of observations affect finding the median?

When considering grouped data, what is the major drawback of using the mean as a measure of central tendency?

In a dataset grouped into intervals, the frequencies are \[4, 6, 10, 5\] for intervals \[1-10, 11-20, 21-30, 31-40\]. What is the median?

If the mean of a data set is 50 and the sum of frequencies is 100, what is the total sum of the data?

If the median of the grouped data is computed to be 30, it means that:

In a frequency table, if the cumulative frequency of class 10-20 is 25 and the total number of observations is 50, what is the median class?

If the median class has a frequency of 20, and it is classified under the interval 30-40, which value is L in the median formula?

For the data intervals [5-15, 15-25, 25-35] with frequencies [3, 7, 10], what is the median?

When is it inappropriate to use the median for analysis?

If a dataset has a frequency of [8, 6, 15, 10] for classes [0-10, 10-20, 20-30, 30-40], what is the total frequency?

Given that the median for a distribution is located in the interval 12-18, which of the following statements is true?