CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard
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CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard
Last updated at July 25, 2026 by Teachoo
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![[SQP] If the mode of the distribution is 55, then find the value of x - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard](https://cdn.teachoo.com/6025d608-7f81-4831-9344-7f7e974b7f82/slide11.jpg)
Transcript
Question 35 (Choice A) If the mode of the following distribution is 55, then find the value of š„. Hence, find the mean.Given Mode = 55 ā“ Modal class is 45 ā 60 Mode = l + (šš āšš)/(ššš ā šš ā šš) Ć h where l = lower limit of modal class h = class-interval f1 = frequency of the modal class f0 = frequency of the class before modal class f2 = frequency of the class after modal class Now, Mode = l + (šš āšš)/(ššš ā šš ā šš) Ć h 55 = 45 + (15 ā š„)/(2(15) ā š„ ā 10) Ć 15 55 ā 45 = (15 ā š„)/(30 ā š„ ā 10) Ć 15 10 = (15 ā š„)/(20 ā š„) Ć 15 10(20 ā x) = (15 ā x) Ć 15 200 ā 10x = 225 ā 15x 15x ā 10x = 225 ā 200 5x = 25 x = 25/5 x = 5 Thus, our table looks like Now, finding mean Mean(š„ Ģ ) = (āāššš„š)/(āāšš) š„ Ģ = 2872.5/59 š Ģ = 48.68
