Mean and Median Formulas
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Questions and Answers

What does the mean represent in a given data set?

  • The average of the data set (correct)
  • The most frequently occurring value
  • The middlemost data value
  • The lowest value in the data set
  • Which formula is used to calculate the mean for ungrouped data?

  • (n/2)th observation + {(n/2)+1}th observation)/2
  • Sum of observations/Number of observations (correct)
  • (n + 1)/2
  • (n + 1)/2th observation
  • How is the median calculated when the number of observations (n) is even?

  • (n/2)th observation + {(n/2)+1}th observation
  • (n + 1)/2th observation
  • (n/2)th observation + {(n/2)+1}th observation)/2 (correct)
  • (n + 1)/2
  • What is the mode of a dataset?

    <p>The most frequently occurring value</p> Signup and view all the answers

    In statistics, what does the term 'mean' refer to?

    <p>The average value of a dataset</p> Signup and view all the answers

    What is the median of the data set 21, 19, 62, 21, 66, 28, 66, 48, 79, 59, 28, 62, 63, 63, 48, 66, 59, 66, 94, 79, 19?

    <p>66</p> Signup and view all the answers

    In a frequency distribution, how is the mean calculated using the Assumed Mean Method?

    <p>Assumed mean plus sum of (class marks times deviations)</p> Signup and view all the answers

    For the distribution x: 15, 21, 27, 30, 35 with respective frequencies f: 3, 5, 6, 7, 8; what is the mean?

    <p>27.655</p> Signup and view all the answers

    In a grouped frequency distribution, which formula is used to calculate the median?

    <p>$l + ((N/2 - cf) / f) \times h$</p> Signup and view all the answers

    What is the mode of the data set: 32, 6, 21, 10, 8, 11, 12, 36, 17, 16, 15, 18, 40, 24, 21, 23?

    <p>21</p> Signup and view all the answers

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