Describing Variation MCQ

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• Which of these gives a correct definition of continuous distributions?
  ক

  Probability distribution of the variable being measured which takes on random values

  খ

  Probability distribution of the variable being measured which takes on values dependent over a calculated mechanism

  গ

  Probability distribution of the variable which takes some certain values such as integers

  ঘ

  Probability distribution of the variable being measured that takes values on continuous scale
• Which of these statements give exact definition of a random variable?
  ক

  A random value from the set of integers

  খ

  A random value from the set of natural numbers

  গ

  A random value from the set of whole numbers which can take many values

  ঘ

  A variable which takes on different values in population according to some random mechanism
• Probability distribution relates the value of a variable to ____
  ক

  Its frequency

  খ

  Its probability of occurrence

  গ

  Random variable

  ঘ

  Probability of occurrence of values other than that
• Line at the either end of the box plot shows the _____
  ক

  Extreme values

  খ

  First quartile

  গ

  Third quartile

  ঘ

  Median
• Which of these cannot be displayed by the box plot?
  ক

  Location or central tendency

  খ

  Spread

  গ

  Departure from symmetry

  ঘ

  Mean of the data
• The sample variance is always greater than or equal to the sample standard deviation.
  ক

  True

  খ

  False
• The standard deviation does not reflect the magnitude of the sample data, only the scatter about the average.
  ক

  True

  খ

  False
• The variability in the sample data is measured by _____
  ক

  Sample Data

  খ

  Sample mean

  গ

  Sample variance

  ঘ

  Range of data
• Which of these is called the center of mass of the sample data?
  ক

  Sample variance

  খ

  Median of the data

  গ

  Arithmetic mean of the data

  ঘ

  The number having the highest frequency
• The most important measure of central tendency in a sample is _____
  ক

  Sample Average

  খ

  Sample variance

  গ

  Frequency of highest observation

  ঘ

  Frequency of lowest observation
• Frequency of a bin in the histogram must be higher than 0.
  ক

  True

  খ

  False
• Cumulative frequency plot is defined as ____________
  ক

  height of each bar less than or equal to upper limit of bin

  খ

  height of each bar more than or equal to upper limit of bin

  গ

  height of each bar less than or equal to lower limit of bin

  ঘ

  height of each bar more than or equal to upper limit of bin
• Relative frequency is defined as ____________
  ক

  difference of frequency of an observation from the highest one

  খ

  frequency of an observation

  গ

  highest known frequency among all frequencies of the data

  ঘ

  frequencies of each bin divided by the number of observations (n)
• The histogram has the same meaning as the box plot, i.e. there are two names of same thing.
  ক

  True

  খ

  False
• For a set of data having 100 observations, how many bins must be created for satisfactory results of histogram?
  ক

  25

  খ

  10

  গ

  28

  ঘ

  4
• Which of these is not the name of the intervals created for the construction of the histogram?
  ক

  Class intervals

  খ

  Cells

  গ

  Bins

  ঘ

  Boxes
• Which of these, does not take time order of observations into account?
  ক

  Time series plot

  খ

  Run chart

  গ

  Marginal plot

  ঘ

  Stem-and-leaf plot
• In stem-and-leaf plot, the measure of variability is _____________
  ক

  IQR

  খ

  Mean

  গ

  Median

  ঘ

  Third quartile
• IQR is defined as ____________
  ক

  difference between fourth and first quartile

  খ

  difference between fourth and third quartile

  গ

  difference between third and first quartile

  ঘ

  difference between second and first quartile
• For even number of observations of a data distribution, what is the median? rank on the ascending order of observations b) (n/2) rank on the ascending order of observations c) Average of (n/2)th observation and (n/2 + 1)th observation d) Average of and (n/2) rank on the ascending order of observations
  ক

  rank on the ascending order of observations

  খ

  (n-1)/2 + 1

  গ

  (n-1)/2 + 1

  ঘ

  (n-1)/2 + 1
• The median for an odd number of observations is _________ where n is the number of observations. rank on the ascending order of observations b) rank on the ascending order of observations c) Average of and (n/2) rank on the ascending order of observations d) (n/2) rank on the ascending order of observations
  ক

  rank on the ascending order of observations

  খ

  (n-1)/2 + 1

  গ

  (n-1)/2 + 1

  ঘ

  (n-1)/2 + 1
• Which of these shows the ordered Stem-and-Leaf Plot?
  ক

  Stems arranged by magnitude

  খ

  Stems not arranged by magnitude

  গ

  Stems and the leaves, both arranged by magnitude

  ঘ

  Neither stems nor leaves are arranged by magnitude
• Descriptive statistics is used _____
  ক

  To develop information regarding the product sample using the measured data

  খ

  To measure the data for a sample

  গ

  To draw conclusions about the population

  ঘ

  To control the variation
• Which of these is not a tool to describe variation in product units?
  ক

  The box plot

  খ

  The histogram

  গ

  Stem-and-Leaf plot

  ঘ

  Acceptance Sampling