All Free Statistics MCQs with Answers

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545 questions · page 6 of 55

51. Cumulative frequency is the frequency _________ than the upper class boundary of a class?

Moderate
  • A. Distribution
  • B. Curve
  • C. Greater
  • D. Less

Explanation: In a less-than cumulative frequency, frequencies are added for observations below the upper class boundary. Thus the cumulative frequency is less than the upper boundary value in the stated formulation.

Correct answer: Less

52. if we connect the mid point of rectangles in a histogram with a series of lines, we get __________

Moderate
  • A. Mid point
  • B. Interval
  • C. Frequency curve
  • D. Frequency Polygon

Explanation: Joining the midpoints of the tops of histogram rectangles produces a frequency polygon. A frequency curve is obtained when the polygon is smoothed rather than left as connected straight segments.

Correct answer: Frequency Polygon

53. The smallest and the largest value of any given class of a frequency distribution are called ___________?

Moderate
  • A. Class marks
  • B. Class interval
  • C. Mid point
  • D. Class limit

Explanation: The lower and upper values that define the ends of a class are its class limits. The class mark or midpoint is instead the value halfway between those limits.

Correct answer: Class limit

54. The process of systematic arrangement of data into rows and columns is called _________?

Moderate
  • A. Bar chart
  • B. Classification
  • C. Tabulation
  • D. None of these

Explanation: Tabulation is the systematic presentation of data in rows and columns. Classification groups data into categories, but does not specifically mean arranging them in a table.

Correct answer: Tabulation

55. Class interval size is the different between the upper and lower class_________ of a class?

Moderate
  • A. Boundary
  • B. Limits
  • C. Marks
  • D. Class Interval

Explanation: Class interval size is found by subtracting the lower class boundary from the upper class boundary. Boundaries remove gaps between adjoining classes, so they are preferred to limits for this calculation.

Correct answer: Boundary

56. Data which have been arranged in ascending or descending order is called ________ data?

Moderate
  • A. Group data
  • B. Classify
  • C. Array
  • D. ungrouped data

Explanation: An array is data arranged in ascending or descending order. Ungrouped data may be listed in any order, so it is not necessarily an array.

Correct answer: Array

57. ____________ use the division of a circle into different sectors?

Moderate
  • A. Frequency Polygon
  • B. Conversion Graphs
  • C. Sector Graph
  • D. Line Graph

Explanation: A sector graph, also called a pie chart, divides a circle into sectors whose sizes represent different categories or proportions. A frequency polygon and line graph use plotted points and lines instead.

Correct answer: Sector Graph

58. The graphs of the symmetrical distribution is _____________?

Moderate
  • A. J- shaped
  • B. U- shaped
  • C. Bell- shaped
  • D. None of these

Explanation: A symmetrical distribution has matching left and right sides around its centre, and the usual graphical form is bell-shaped. J-shaped and U-shaped curves are asymmetrical or have different concentration patterns.

Correct answer: Bell- shaped

59. In pie-chart, the arrangement of the angles of the different sectors generally ________________?

Moderate
  • A. Anti-clockwise
  • B. Arrayed
  • C. Clock-wise
  • D. Alternative

Explanation: In a standard pie chart, sectors are usually drawn successively in a clockwise direction from a chosen starting radius. The sectors represent categories, while their angles represent the corresponding frequencies or percentages.

Correct answer: Clock-wise

60. Cumulative frequencies are_________________?

Moderate
  • A. Increasing
  • B. Non- increasing
  • C. Decreasing
  • D. None of these

Explanation: A cumulative frequency is formed by repeatedly adding frequencies, so it cannot decrease as classes are added. It may remain unchanged when a class has zero frequency, making it non-decreasing.

Correct answer: Increasing