CBSE Class 10 Maths (Standard) 2024 · Paper 30/3/1 · Question 37

Statistics 4 marks Medium

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. From the above answer the following questions :

Age distribution of participants undergoing vocational training
Age (in years)	Number of participants
15-19	62
20-24	132
25-29	96
30-34	37
35-39	13
40-44	11
45-49	10
50-54	4

(i)What is the lower limit of the modal class of the above data?[1]
(ii)(a)Find the median class of the above data.[2]
(ii)(b)OR Find the number of participants of age less than 50 years who undergo vocational training.[2]
(iii)Give the empirical relationship between mean, median and mode.[1]

Answer

(i) The modal class is 20–24 (that is, 19.5–24.5), so its lower limit is

19.5

(written as

20

in the inclusive form of the table). (ii)(a) The median class is 20–24 (that is, 19.5–24.5). OR (ii)(b)

361

participants are younger than 50 years. (iii) Mode

= 3

Median

- 2

Mean.

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From the board paper

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CBSE Class 10 Maths (Standard) 2024 · Paper 30/3/1 · Question 37

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