MCQ
A grouped frequency distribution table with classes of equal sizes using $105-120$ ($120$ not included) as one of the class intervals is constructed for the following data: The number of classes in the distribution will be:
$125$
$126$
$140$
$98$
$128$
$78$
$108$
$67$
$87$
$149$
$102$
$136$
$145$
$112$
$103$
$84$
$123$
$130$
$120$
$89$
$103$
$65$
$96$
$65$
  • A
    $5$
  • $6$
  • C
    $4$
  • D
    $7$

Answer

Correct option: B.
$6$
Maximum value of the observation is $149$ & minimum value is $65$.
This range of data need to grouped into classes of equal sizes with $105-120$ as one class.
Thus we need to construct classes of width $15$.
Below $6$ classes can be constructed
$60-75, 75-90, 90-105, 105-120, 120-135, 135-150$

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