JEE Mains · Maths · STD 11 - 13. statistics
Marks obtains by all the students of class 12 are presented in a freqency distribution with classes of equal width. Let the median of this grouped data be 14 with median class interval 12-18 and median class frequency 12 . If the number of students whose marks are less than 12 is 18 , then the total number of students is
- A \(52\)
- B \(48\)
- C \(44\)
- D \(40\)
Answer & Solution
Correct Answer
(C) \(44\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { median }=\ell+\left(\frac{\frac{\mathrm{N}}{2}-\mathrm{F}}{\mathrm{f}}\right) \times \mathrm{h} \\ & =12+\left(\frac{\frac{\mathrm{N}}{2}-18}{12}\right) \times 6=14 \\ & \Rightarrow\left(\frac{\frac{\mathrm{~N}}{2}-18}{12}\right) \times 6=2 \\ &…
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