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Mathematics · 2024 · 4 marks

CBSE 2024 · Region 3 · Set 1 · Q37

Vocational training complements traditional education by providing practical skills and hands-on experience. While education equips individuals with a broad knowledge base, vocational training focuses on job-specific skills, enhancing employability thus making the student self- reliant. Keeping this in view, a teacher made the following table giving the frequency distribution of students/adults undergoing vocational training from the training institute.
Figure: CBSE Class 10 Mathematics 2024, Statistics
Age (in years)$\displaystyle 15$-$\displaystyle 19$$\displaystyle 20$-$\displaystyle 24$$\displaystyle 25$-$\displaystyle 29$$\displaystyle 30$-$\displaystyle 34$$\displaystyle 35$-$\displaystyle 39$$\displaystyle 40$-$\displaystyle 44$$\displaystyle 45$-$\displaystyle 49$$\displaystyle 50$-$\displaystyle 54$
Number of participants$\displaystyle 62$$\displaystyle 132$$\displaystyle 96$$\displaystyle 37$$\displaystyle 13$$\displaystyle 11$$\displaystyle 10$$\displaystyle 4$
From the above answer the following questions :
(i)
What is the lower limit of the modal class of the above data ?
(ii)
Find the median class of the above data.
(iii)
Give the empirical relationship between mean, median and mode.

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CBSE Class 10 Mathematics past-paper question from the 2024board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.