All Free Statistics MCQs with Answers

Every Statistics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.

545 questions · page 8 of 55

71. The relation showing between whole and its components used chart is said to be ___________________?

Moderate
  • A. Component bar chart
  • B. Multiple bar chart
  • C. Pie Chart
  • D. Simple Bar chart

Explanation: A pie chart divides a circle into sectors whose sizes represent the components of a whole. This makes the whole-to-components relationship immediately visible.

Correct answer: Pie Chart

72. A graph of cumulative frequency distribution is called ________________?

Moderate
  • A. Histrogram
  • B. Frequency Polgon
  • C. Ogive
  • D. None of above

Explanation: An ogive is the graph of a cumulative frequency distribution. A histogram and frequency polygon represent ordinary frequency distributions, not cumulative frequencies.

Correct answer: Ogive

73. In a table, foot note and source notes are ___________________?

Moderate
  • A. Same
  • B. Different
  • C. Identical
  • D. Non-identical

Explanation: Footnotes explain special information about entries in a table, whereas source notes identify where the data came from. They therefore serve different purposes, although both may appear below the table.

Correct answer: Different

74. When we add the lower and upper class limits and dividing the sum by, the values so obtained are called class____________?

Moderate
  • A. Interval
  • B. Histogram
  • C. Limits
  • D. Marks

Explanation: The class mark is found by adding the lower and upper class limits and dividing by 2: (lower limit + upper limit) / 2. Thus, “marks” completes the term class marks.

Correct answer: Marks

75. Data which is not arranged in ascending or descending order is called ___________?

Moderate
  • A. Raw
  • B. Cumulative frequency
  • C. Group
  • D. Arrangement

Explanation: Unsorted observations are called raw data because they have not yet been arranged or grouped. Cumulative frequency and grouped data are organized forms of data.

Correct answer: Raw

76. A frequent distribution in which class interval size is not the same is called frequency distribution with ________class interval size?

Moderate
  • A. Open-end
  • B. Distribution
  • C. Componemt
  • D. Unequal

Explanation: When the widths of class intervals differ, the distribution is described as having unequal class intervals. Open-end intervals instead lack one stated boundary, such as “70 and above.”

Correct answer: Unequal

77. The median of numbers, 12, 22, 32,__(2n + 1)2 is given by______?

Moderate
  • A. (n2 + 1)
  • B. (2n + 1)2
  • C. (n + 1)2
  • D. (N - 1)2

Explanation: For 2n + 1 ordered observations, the middle observation is in position (2n + 2)/2 = n + 1. If the sequence is 1², 2², 3², …, (2n + 1)², the median is therefore (n + 1)².

Correct answer: (n + 1)2

78. A distribution is called _____ distribution if it has two modes?

Moderate
  • A. Uni-modal
  • B. Bi-model
  • C. Tri-modal
  • D. None of these

Explanation: A distribution with exactly two modes is called bimodal, because two values occur with the greatest frequency. The option says “bi-model,” but it clearly intends the standard term “bimodal.”

Correct answer: Bi-model

79. The frequent value of the data if it exists is called ________________?

Moderate
  • A. Median
  • B. Quartiles
  • C. Mode
  • D. Deciles

Explanation: The mode is the observation with the highest frequency, so it is the frequent value when such a value exists. Median, quartiles, and deciles describe positional locations rather than frequency peaks.

Correct answer: Mode

80. Which of the following is not based upon all the observations _________?

Moderate
  • A. A.M.
  • B. G.M.
  • C. H.M.
  • D. Mode

Explanation: The arithmetic, geometric, and harmonic means use every observation in their calculations. The mode depends only on the most frequent value, so it is not necessarily based on all observations.

Correct answer: Mode