Question Bank: Statistics

What is the mode of the following dataset: 3, 7, 3, 9, 5, 3, 6?

What would be the median for the following set of numbers: 12, 15, 11, 14, 13?

How do you calculate the mean of the following data: || Values: 4, 8, 6 || Frequency: 2, 3, 5?

In which scenario would median be preferred over mean?

If the mean of a dataset is 20 and the dataset is increased by 5, what will be the new mean?

Which of the following represents the relationship between mean, median, and mode for a positively skewed distribution?

What is the mode of grouped data when the frequency table is: 1-10, 10-20, 20-30 with frequencies 5, 15, 10?

To find the median of the frequency distribution, what must be calculated first?

How is the mean affected by the addition of a new observation that is significantly higher than existing values?

In a frequency distribution where 60% of values are below 50, what can be inferred about the median?

What is the first step in collecting data for a frequency distribution?

What is the mode of the following series: 1, 2, 2, 3, 4, 4, 4, 5?

In a frequency table, what does the cumulative frequency represent?

When is the mean not a good measure of central tendency?

When organizing data into a frequency table, which of the following is essential?

Find the median of the following data set: 5, 1, 3, 9, 7.

If a frequency distribution shows that 80 students scored below 60 marks, what can be inferred?

Which measure of central tendency is best used to describe average income in a skewed income distribution?

In the context of data collection, what is the purpose of class intervals?

What happens to the mode if a new value is added that is different from existing values?

What is a potential pitfall when collecting data for a sample?

To calculate the median in grouped data, which formula is typically used?

In a dataset of marks obtained by students, if 75% scored less than 40, how is the median characterized?

If the highest frequency in a frequency distribution is 30, what can be inferred about discussions of mean and median?

If a frequency table shows intervals of data, which of the following describes the 'frequency' of the first interval?

Why is it important to have continuous class intervals?

During a study, if the total number of students is 100 and the median class is found to be 75-80, what does this imply?

What does a high variance in a dataset indicate about data collection?

When analyzing grouped data, how can you best identify the mode?

If error occurs in defining class intervals while collecting data, what could be a possible outcome?

What type of graph is best suited for displaying a frequency distribution?

In which of the following situations would a pie chart be inappropriate?

What is the purpose of representing data graphically?

What is the primary difference between a bar graph and a histogram?

Which type of graph is most appropriate for displaying categorical data?

Which graph would you use to represent student performance over time?

What is the primary advantage of a histogram over a bar chart?

A student draws a bar graph where the bars are spaced out evenly. What concept is he illustrating?

What is the median of the following grouped data? Marks: [10-20: 5, 20-30: 10, 30-40: 20, 40-50: 15].

Which of the following is used to represent cumulative frequency?

If the total number of observations is 80, what is the 40th observation in the following frequency table? [0-10: 10, 10-20: 20, 20-30: 30, 30-40: 20].

To visualize the percentage distribution of colors in a box of candies, which representation is best?

In a frequency table, if the median is found to be 24, which class does it belong to? [10-20: 5, 20-30: 10, 30-40: 15].

Which of the following types of data presentation uses intervals?

Which of the following graphs would be useful for depicting the relationship between two variables?

To find the median from a frequency table, what must be calculated first?

When is it appropriate to use a frequency polygon?

How do you determine the median from an even set of grouped data?

What is the class mark for the interval 10-20?

In a cumulative frequency curve, the x-axis typically represents which of the following?

How does a frequency distribution table help in data analysis?

What is the appropriate method to find the median in a frequency distribution with a missing frequency?

Why are cumulative frequency graphs also known as ogives?

When creating a frequency distribution table, what is the first step?

In a histogram, if the height of the bars is significantly different, what does it imply?

In how many classes should data typically be divided for a frequency distribution?

If a student wants to show the relationship between study time and test scores, which graph should they choose?

What key information does the median provide about a data set?

In a data set consisting of 50 values, which value represents the median?

What is the formula for finding the median of grouped data?

In a frequency distribution, which method can be used to find the mean?

If the midpoints of class intervals for a dataset are 10, 20, 30, 40, what is the mode for these midpoints?

What does cumulative frequency represent in a data distribution?

When calculating the median, what is required first?

In which situation would one use the mode over the mean?

If a dataset has the following distribution of weights, what is the modal weight range? Weight (kg): 40-45, 45-50, 50-55, 55-60 (with frequencies 8, 6, 10, 5 respectively).

In a distribution with midpoints of 1, 2, 3, and 4, how do you find the mean?

Which of the following describes the mode in a data set?

For the calculation of mean in grouped data using the assumed mean method, which is crucial?

What would be the cumulative frequency for the class interval 50-55 kg if its frequency is 10 and the previous class has a cumulative frequency of 20?

When determining modal size from a frequency table, what should you look for?

How is median computed when the data is distributed in class intervals?

Which method allows calculation of the mean without excessive calculations using deviations?

What aspect is crucial when constructing an ogive for cumulative frequency distribution?

Which graph is commonly used to show the frequency distribution of categorical data?

If the data set is {4, 8, 6, 5, 3}, what is the median?

To calculate the mean for grouped data, which additional information is essential?

In a frequency distribution, if a class interval is 10-20, which of the following marks falls within this interval?

What does the term 'cumulative frequency' refer to?

Which of the following correctly represents the formula for the mean of grouped data?

What type of distribution is a frequency polygon best used for?

In the context of grouped data, if a class has a higher frequency than other classes, what can we say about this class?

If the total number of observations is 40 and the sum of frequencies of the first two classes is 20, what is the cumulative frequency of the second class?

Which of the following does NOT represent a measure of central tendency?

The mean of a data set is significantly affected by which of the following?

When dealing with grouped data, which measure is less affected by outliers?

If a frequency table shows that 25% of students scored below 60, what can be inferred about the mode?

What is the process of plotting cumulative frequency against class boundaries called?