Question
Direction Analyse the following case study graph and answer questions (i) to (v) on the basis of the same.
  1. What is the mean height of the above students?
  1. 54
  2. 59
  3. 62
  4. 67
  1. Median of a given series divides the data into ......... parts.
  1. Two
  2. Three
  3. Four
  4. None of these
  1. What will be the median value of the above figure?
  1. 52
  2. 56
  3. 62
  4. 65
  1. If we reverse the data in decreasing order, value of median will be:
  1. 52
  2. 55
  3. 64
  4. None of the above
  1. What will be the mode value in the above series?
  1. 54
  2. 59
  3. 67
  4. Can't be determined

Answer

  1. (b) 59
Explanation:

Mean $=\frac{38+ 46+ 54+ 56+ 62+64+67+67+77}{9}=59$
  1. (a) Two
Explanation:

Median is the middle most value which divides the series into two equal parts.
  1. (c) 62
Explanation:

Median $=\frac{(\text{n}+1)}{2}=\frac{(9+1)}{32}=5\text{th}\ \text{term}.$
  1. (d) None of the above
Explanation:

If we reverse the series, median value will still remain the same.
  1. (c) 67
Explanation:

In the above graph, 67 has appeared twice so mode will be equal to 67.

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