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 Aug. 26, 2025 by Teachoo
This question is similar to Chapter 13 Class 10 Statistics - Examples
Please check the question here
Transcript
Question 35 (Choice B) A survey regarding heights (in cm) of 51 girls of class X of a school was conducted and the following data was obtained: Find the median height of girls. If mode of the above distribution is 148.05, find the mean using empirical formula.Making Normal Table Median = l + (𝑵/𝟐 −𝒄𝒇)/𝒇 × h Here, 𝑵/𝟐 ∴ 145 – 150 is the Median class And, l = lower limit of median class h = class-interval cf = cumulative frequency of the class before median class f = frequency of the median class Putting values in Formula Median = l + (𝑛/2 −𝑐𝑓)/𝑓 × h = 145 + (𝟐𝟓.𝟓 −𝟏𝟏)/𝟏𝟖 × 5 = 145 + 14.5/11 × 5 = 145 + 4.03 = 149.03 Therefore, Median height is 149.03 cm Finding Mean using Empirical formula Given that Mode = 148.05 Median. = 149.03 Now, 3 × Median = Mode + 2 × Mean 3 × 149.03 = 148.05 + 2 × Mean 447.09 = 148.05 + 2 × Mean 447.09 – 148.05 = 2 × Mean 299.04 = 2 × Mean 2 × Mean = 299.04 Mean = 299.04/2 Mean = 149.52
