Knowledge Check : Statistics
Knowledge Check – Statistics
Collection and Representation of Data
Q1: A pictograph uses pictures mainly to show
A) Shape of objects
B) Frequency of data
C) Colour of objects
D) Weight of objects
Q2: In tally marks, a group of five is represented by
A) |||||
B) |||| + |
C) Four vertical and one diagonal slash
D) Five diagonal lines
Q3: A bar graph is used to represent
A) Continuous data
B) Categorical or discrete data
C) Only time data
D) Only percentages
Q4: The total angle of a pie chart is always
A) 90°
B) 180°
C) 270°
D) 360°
Q5: The height of a bar in a bar graph represents
A) Width of categories
B) Frequency or value
C) Colour
D) Shape of bars
Q6: Which chart is most suitable to represent percentage distribution?
A) Line graph
B) Bar graph
C) Pie chart
D) Histogram
Q7: In a double bar graph, we use two bars to
A) Show height and width
B) Compare two sets of data
C) Show only large values
D) Display percentages only
Q8: A pie chart sector representing 50% will have an angle of
A) 90°
B) 120°
C) 150°
D) 180°
Q9: The main purpose of data representation is to
A) Make data longer
B) Hide information
C) Make data easy to understand
D) Increase numbers
Q10: Which one does not use graphical representation?
A) Bar graph
B) Pictograph
C) Tally marks table
D) Pie chart
Q11: If total students = 200 and boys = 50%, how many boys are there?
A) 50
B) 75
C) 100
D) 150
Q12: A bar graph must have
A) Broken scale only
B) Equal width bars and equal gaps
C) Unequal gaps and widths
D) Diagonal bars only
Q13: Which representation uses symbols like 🚗 or 🌳?
A) Bar graph
B) Histogram
C) Pictograph
D) Frequency polygon
Q14: When the data is very large, pictographs become
A) Easier to draw
B) Hard to draw and interpret
C) More accurate
D) More colorful
Q15: Which is best suited for comparing monthly rainfall of two cities?
A) Double bar graph
B) Pictograph
C) Pie chart
D) Tally table
Graphical Representation of Data
Q16: A histogram is used to represent
A) Discrete data only
B) Continuous data only
C) Percentage data
D) Categorical data
Q17: The x-axis in a histogram represents
A) Frequencies only
B) Class intervals
C) Cumulative values
D) Percentages
Q18: The height of each bar in a histogram represents
A) Width of the class interval
B) Colour of data
C) Frequency of the interval
D) Mid value of the interval
Q19: One major difference between bar graph and histogram is that
A) Bar graphs are horizontal
B) Histograms have gaps between bars
C) Bar graphs represent discrete data
D) Histograms show percentages only
Q20: In a frequency polygon, the points are joined using
A) Curved lines
B) Vertical lines only
C) Straight line segments
D) Parallel lines
Q21: The class mark is calculated as
A) Upper limit − lower limit
B) Upper limit + lower limit
C) (Upper limit + lower limit) ÷ 2
D) Upper limit × lower limit
Q22: A frequency polygon is useful to show
A) Only total frequency
B) Trend of distribution
C) Individual values only
D) Percentages only
Q23: A histogram does not have gaps between bars because
A) Data is continuous
B) Data is discrete
C) Data is random
D) Data is small
Q24: Which graph is best to compare rainfall of different months?
A) Bar graph
B) Pictograph
C) Pie chart
D) Tally chart
Q25: In drawing a histogram, the width of bars represents
A) Frequency only
B) Class interval only
C) Percentages only
D) Colour coding
Q26: Which of the following is not a graphical form of data?
A) Bar graph
B) Histogram
C) Frequency table
D) Frequency polygon
Q27: The cumulative frequency curve is also called
A) Ogive
B) Polygon
C) Histogram
D) Bar curve
Q28: Which graph uses class marks on x-axis?
A) Bar graph
B) Histogram
C) Frequency polygon
D) Pie chart
Q29: In a frequency polygon, the first and last points are joined to
A) The highest class mark
B) Zero frequency line
C) Top of histogram bars
D) Mean line
Q30: A pie chart sector angle is calculated by
A) ÷ total × 360°
B) + total × 100
C) − total × 180°
D) × total × 90°
Measures of Central Tendency (Ungrouped Data)
Q31: The arithmetic mean of 4, 6 and 10 is
A) 5
B) 6
C) 7
D) 8
Q32: The median of the data 3, 7, 5, 9, 1 is
A) 3
B) 5
C) 7
D) 1
Q33: Mode is defined as
A) Middle value
B) Greatest value
C) Most frequently occurring value
D) Average value
Q34: Which of the following data has no mode?
A) 2, 2, 3, 4
B) 1, 1, 1, 5
C) 4, 5, 6, 7
D) 8, 9, 9, 10
Q35: The median of an even number of observations is
A) Greatest value
B) Smallest value
C) Average of two middle values
D) First value only
Q36: The mean of 5 numbers is 20. What is their total?
A) 80
B) 90
C) 100
D) 120
Q37: If all values in a data set are increased by 5, the mean will
A) Remain same
B) Decrease
C) Increase by 5
D) Double
Q38: Which measure of central tendency is most affected by extreme values?
A) Mean
B) Median
C) Mode
D) Range
Q39: The mode of 2, 3, 3, 4, 5, 3 is
A) 2
B) 3
C) 4
D) 5
Q40: The mean of 6, 8, 10, 12 is
A) 8
B) 9
C) 10
D) 11
Q41: If the median of 5, 8, x, 12, 15 is 10, then x is
A) 8
B) 9
C) 10
D) 11
Q42: The arithmetic mean is also known as
A) Middle value
B) Average
C) Typical value
D) Central value
Q43: Which of the following can be fractional?
A) Mode only
B) Median only
C) Mean only
D) All three
Q44: If the total of 10 numbers is 500, the mean is
A) 40
B) 45
C) 50
D) 55
Q45: Which measure is best to describe the central value when data has extreme values?
A) Mean
B) Median
C) Mode
D) Range
Measures of Central Tendency (Grouped Data)
Q46: In grouped data, class mark means
A) Lower class limit
B) Upper class limit
C) Midpoint of the class interval
D) Class width
Q47: The formula for mean in step-deviation method is
A) Σfx / Σf
B) a + (Σfd / Σf) × h
C) (Σf / n)
D) Σf / h
Q48: Frequency distribution table is used to
A) Count values
B) Organize data into classes
C) Add observations
D) Multiply observations
Q49: The median of grouped data is found using
A) Bar graph only
B) Frequency polygon only
C) Cumulative frequency curve and formula
D) Histogram only
Q50: In grouped data, mode is calculated using
A) Direct division
B) Guess method only
C) Mode formula based on modal class
D) Tally marks
Q51: Modal class is the class interval with
A) Least frequency
B) Highest frequency
C) Zero frequency
D) Equal frequency
Q52: The width of a class interval is
A) Upper limit − Lower limit
B) Lower limit − Upper limit
C) Sum of limits
D) Half of class mark
Q53: Cumulative frequency helps to find
A) Mode only
B) Mean only
C) Median and quartiles
D) Range only
Q54: Which graph uses rectangles without gaps?
A) Bar graph
B) Histogram
C) Pie chart
D) Frequency polygon
Q55: The sum of all frequencies represents
A) Number of classes
B) Total number of observations
C) Highest frequency
D) Class width
Q56: If Σfx = 400 and Σf = 20, then mean is
A) 10
B) 15
C) 20
D) 25
Q57: The first step in finding median of grouped data is
A) Drawing histogram
B) Finding cumulative frequency
C) Calculating class mark
D) Finding class width
Q58: Which of the following best represents grouped data visually?
A) Pie chart
B) Tally chart
C) Histogram
D) Line segment
Q59: If class interval is 10–20, the class mark is
A) 10
B) 15
C) 20
D) 30
Q60: Which method of mean is easiest when values are large?
A) Direct method
B) Step-deviation method
C) Trial method
D) Graphical method