Q.1 What is a frequency distribution?
A graph of data values
An arrangement of data in classes with frequencies
A single numerical value
A formula to calculate mean
Explanation - Frequency distribution organizes raw data into groups (classes) and shows how often each value or range occurs.
Correct answer is: An arrangement of data in classes with frequencies
Q.2 In a frequency distribution, what does 'frequency' represent?
The class interval width
The number of times a value occurs
The average of values
The cumulative total
Explanation - Frequency refers to how many times a particular value or range of values appears in the dataset.
Correct answer is: The number of times a value occurs
Q.3 Which of the following is a type of frequency distribution?
Simple
Cumulative
Relative
All of the above
Explanation - Frequency distributions can be simple, cumulative, or relative, depending on how data is represented.
Correct answer is: All of the above
Q.4 What is the upper limit of a class interval 20–30?
20
29.5
30
25
Explanation - In a class interval, the upper limit is the highest value included in that interval, here it is 30.
Correct answer is: 30
Q.5 The difference between the upper and lower class limits is called?
Midpoint
Class width
Frequency
Range
Explanation - Class width (or size) is obtained by subtracting the lower class limit from the upper class limit.
Correct answer is: Class width
Q.6 If the data is 5, 6, 5, 7, 6, what is the frequency of 5?
1
2
3
4
Explanation - The value 5 occurs twice in the data, so its frequency is 2.
Correct answer is: 2
Q.7 A frequency distribution with unequal class intervals is called?
Continuous
Discrete
UCID
Open-ended
Explanation - When the widths of classes differ, it is known as unequal class interval distribution.
Correct answer is: UCID
Q.8 What is the midpoint of class interval 10–20?
10
15
20
30
Explanation - The midpoint is calculated as (Lower limit + Upper limit) / 2 = (10 + 20)/2 = 15.
Correct answer is: 15
Q.9 The cumulative frequency is obtained by?
Adding all midpoints
Adding frequencies successively
Multiplying frequencies
Dividing frequencies
Explanation - Cumulative frequency is calculated by adding each frequency to the sum of previous frequencies.
Correct answer is: Adding frequencies successively
Q.10 Which type of frequency distribution shows data as a percentage of the total?
Relative frequency distribution
Cumulative distribution
Simple distribution
Grouped distribution
Explanation - Relative frequency distribution expresses frequencies as a proportion or percentage of the total.
Correct answer is: Relative frequency distribution
Q.11 What is the purpose of frequency distribution?
To simplify data
To hide data
To eliminate data
To distort data
Explanation - Frequency distributions simplify large sets of data by grouping values and showing their occurrence.
Correct answer is: To simplify data
Q.12 Open-ended frequency distribution has?
No class intervals
Intervals without lower or upper limits
Negative frequencies
Zero frequencies
Explanation - In open-ended frequency distributions, either the first class has no lower limit or the last class has no upper limit.
Correct answer is: Intervals without lower or upper limits
Q.13 The sum of all frequencies in a frequency distribution is equal to?
Range
Total number of observations
Midpoint
Class width
Explanation - The sum of frequencies represents the total number of data points in the dataset.
Correct answer is: Total number of observations
Q.14 Class intervals must be?
Overlapping
Non-overlapping
Randomly chosen
Negative
Explanation - Class intervals in frequency distribution should not overlap to avoid confusion in data representation.
Correct answer is: Non-overlapping
Q.15 What is the lower limit of the class interval 40–50?
40
50
45
39.5
Explanation - The lower limit is the smallest value of the class interval, which is 40.
Correct answer is: 40
Q.16 Which frequency distribution uses tally marks?
Relative
Cumulative
Simple
Graphical
Explanation - In simple frequency distributions, tally marks are used to count occurrences of data values.
Correct answer is: Simple
Q.17 What is the class mark of interval 25–35?
25
30
35
32
Explanation - Class mark = (Lower limit + Upper limit)/2 = (25+35)/2 = 30.
Correct answer is: 30
Q.18 In frequency distribution, equal class intervals are preferred because?
They make calculation easier
They reduce accuracy
They distort data
They eliminate midpoints
Explanation - Equal class intervals ensure consistency and simplify data interpretation and analysis.
Correct answer is: They make calculation easier
Q.19 Which of these is a discrete frequency distribution?
Heights of students
Number of children in families
Weight of apples
Daily temperature
Explanation - Discrete distributions involve countable values like the number of children.
Correct answer is: Number of children in families
Q.20 What is the range of data values 10, 15, 20, 25, 30?
10
20
15
30
Explanation - Range = Maximum value – Minimum value = 30 – 10 = 20.
Correct answer is: 20
Q.21 What does the frequency polygon represent?
Cumulative distribution
Data values individually
Frequencies with line segments
Only midpoints
Explanation - A frequency polygon uses midpoints of classes connected with line segments to represent frequencies.
Correct answer is: Frequencies with line segments
Q.22 Which of these is continuous data suitable for frequency distribution?
Age of students
Number of cars
Number of books
Roll numbers
Explanation - Continuous data like age can take fractional values and is grouped into class intervals in frequency distribution.
Correct answer is: Age of students
Q.23 The last cumulative frequency must equal?
Range
Total number of observations
Mode
Median
Explanation - The cumulative frequency of the last class should equal the total number of observations.
Correct answer is: Total number of observations
Q.24 In a histogram, the area of rectangles is proportional to?
Frequency
Midpoint
Class width
Cumulative frequency
Explanation - The area of each rectangle in a histogram is proportional to the frequency of that class interval.
Correct answer is: Frequency
Q.25 Which graph is best for cumulative frequency distribution?
Bar chart
Histogram
Ogive
Pie chart
Explanation - An ogive (cumulative frequency curve) is used to represent cumulative frequencies graphically.
Correct answer is: Ogive