NEW
Font size
WorksheetsDecision Techniques for Business CIE 1 Quiz
Total questions: 40
Worksheet time: 30mins
What is the main purpose of a bar graph?
To show the relationship between two variables
To display continuous data
To represent data in intervals
To compare different categories of data
In a pie chart, the size of each slice is proportional to:
The frequency of the data category
The mean of the data
The variance of the data
The median of the data
Which of the following is NOT a feature of a bar graph?
The bars are always arranged in ascending order.
The bars are of equal width.
The bars are separated by gaps.
The height of each bar corresponds to the frequency of data.
A histogram is used to represent:
Discrete data
Continuous data
Categorical data
Both discrete and categorical data
The bars in a histogram:
Do not touch each other
Are of unequal widths
Touch each other to indicate the continuity of the data
Represent the mode of the data
Which of the following is true about a frequency polygon?
It is a graph of the cumulative frequency
It connects the midpoints of the top of the bars of a histogram
It represents categorical data
It is used to compare two datasets
What does the 'Less Than Ogive' curve represent?
Cumulative frequency distribution
The mean of the data
The median of the data
The variance of the data
Which of the following is correct about the 'Less Than Ogive'?
It shows the cumulative frequency of data points less than or equal to a given value.
It represents the mode of the data.
It shows the distribution of the data across various classes.
It is the same as a bar graph.
What is the mode of the following dataset: 2, 4, 4, 5, 7, 7, 7, 8?
5
7
4
2
What is a disadvantage of the arithmetic mean?
It is sensitive to extreme values (outliers).
It cannot be used for continuous data.
It does not give a central value of the dataset.
It is difficult to calculate.
Which of the following is a merit of the median over the mean?
The median is less affected by outliers.
The median is easier to calculate.
The median is always smaller than the mean.
The median is used only for continuous data.
Which measure of dispersion is defined as the average of the absolute deviations from the mean?
Variance
Standard deviation
Mean deviation
Range
The coefficient of variation is used to:
Measure the average of a dataset
Compare the variability of datasets with different units or scales
Calculate the median of the data
Find the standard deviation of a dataset
Which of the following is a disadvantage of using the range as a measure of dispersion?
It is difficult to calculate.
It does not consider the spread of values.
It is influenced by extreme values.
It is not useful for large datasets.
What does the interquartile range (IQR) measure?
The central value of the dataset
The spread of the middle 50% of the data
The overall spread of the data
The difference between the largest and smallest data points
Which measure of dispersion is best when you want to compare the relative spread of data in different units?
Range
Variance
Standard deviation
Coefficient of variation
If the mean, median, and mode of a dataset are all equal, the distribution is:
Skewed to the right
Skewed to the left
Symmetrical
Bimodal
Which of the following is a property of the standard deviation?
It is always less than or equal to the variance
It is calculated by dividing the variance by the sample size
It is a measure of how far each data point is from the mean
It cannot be used when there are outliers in the data
The coefficient of variation is expressed as:
The variance divided by the mean
The standard deviation divided by the mean, expressed as a percentage
The mean divided by the variance
The range divided by the standard deviation
What is the quartile deviation (QD)?
The difference between the largest and smallest data points
The average of the first and third quartiles
Half of the interquartile range
The difference between the first and second quartiles
Which of the following statements is correct regarding the use of the mean in a highly skewed dataset?
The mean is a reliable measure of central tendency in skewed distributions.
The mean may not accurately represent the central location in skewed distributions.
The mean and median will be identical in a skewed dataset.
The mean is always preferred over the median in skewed distributions.
What is the primary use of the interquartile range (IQR)?
To determine the central value of a dataset
To identify outliers in a dataset
To calculate the mean of the data
To compute the mode of the data
If a dataset is normally distributed, which measure of central tendency is usually preferred?
Mode
Median
Arithmetic mean
Geometric mean
If two datasets have the same mean but different standard deviations, we can conclude that:
Both datasets are equally spread out
The dataset with the higher standard deviation has more variability
Both datasets have identical variability
The dataset with the higher standard deviation has less variability
A dataset has a standard deviation of 0. What can we conclude about the dataset?
All the values in the dataset are different.
The dataset has a lot of variability.
All values in the dataset are identical.
The dataset is perfectly normal.
If a dataset has a low coefficient of variation, this implies that:
The data has high variability relative to its mean
The data is very spread out
The data is more consistent or less dispersed relative to its mean
The dataset has high variance
Which of the following would increase the standard deviation of a dataset?
Removing extreme values (outliers)
Decreasing the range of the dataset
Increasing the range or spread of the dataset
Adding more data points with values close to the mean
Which type of graph is best suited for showing the distribution of a continuous dataset?
Bar graph
Pie chart
Histogram
Line graph
In a frequency polygon, the data points are connected by:
Straight lines
Curved lines
Dotted lines
No lines
What does a 'Less Than Ogive' curve represent for a given dataset?
Cumulative frequency of values greater than or equal to the class
Cumulative frequency of values less than or equal to the class
Median of the dataset
Mode of the dataset
Which of the following is a characteristic of a pie chart?
It represents data in intervals.
Each sector represents a proportion of the whole.
It is used to represent continuous data.
It requires data to be in ascending order.
Which of the following is true about the class intervals in a histogram?
The class intervals must always be equal in width.
The class intervals should always overlap.
The class intervals can vary in width.
The number of class intervals should always be 10.
Which of the following best describes a bimodal distribution?
It has one peak or mode.
It has two peaks or modes.
It has no modes.
It has three peaks or modes.
If the mean of a dataset is 50, the median is 60, and the mode is 70, what can you infer about the dataset?
The distribution is positively skewed.
The distribution is negatively skewed.
The distribution is symmetrical.
The dataset is normally distributed.
Which measure of central tendency is best for a dataset with extreme values?
Mode
Median
Mean
Range
Which of the following is a measure of dispersion that is less sensitive to extreme values?
Variance
Standard deviation
Range
Interquartile range (IQR)
What is the formula for variance of sample data?
Sum of squared differences from the mean divided by n
Sum of absolute differences from the mean divided by n
Sum of squared differences from the mean divided by (n - 1)
The sum of all values in the dataset
What does a high coefficient of variation indicate about a dataset?
The dataset has low variability relative to its mean.
The dataset has high variability relative to its mean.
The dataset has no variation.
The dataset has no central tendency.
Which of the following statements is true about the mean deviation (MD)?
It is always greater than or equal to the variance.
It is the average of the squared deviations from the mean.
It is calculated by averaging the absolute deviations from the mean.
It cannot be used with skewed datasets.
If a frequency polygon and a histogram of the same data are drawn, what will be the difference?
The histogram shows the cumulative frequency, while the frequency polygon shows the actual frequency.
The histogram uses bars to show frequencies, while the frequency polygon uses a continuous line to connect midpoints.
The histogram represents the data in terms of proportions, while the frequency polygon represents it in terms of actual values.
There is no difference; both represent data the same way.
