Class 10 Maths · Chapter 13

Statistics

61 Class 10 Maths questions on Statistics from the NCERT textbook, NCERT Exemplar and CBSE board papers 2026, each with its answer and a step-by-step solution.

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Questions · page 4 of 4

1. Q61 CBSE 2026
   The Air Quality Index (AQI) is ​a scale ​from $0$ ​to $500$ ​that indicates air quality, with higher numbers signifying more pollution and greater ​health concerns. The Central Pollution Control Board's air quality standards map AQI ranges to categories (Good, ​Satisfactory, Moderate, Poor, Very Poor, ​Severe), as shown in the figure. Mansi collected the daily data of AQI of her city for a month and presented it as given below.

   Daily AQI of Mansi's city recorded over a month

   AQI Range	Number of Days
   1 - 100	3
   101 - 200	9
   201 - 300	12
   301 - 400	4
   401 - 500	2

   1. (i)Convert the data to continuous frequency distribution.[1]
   2. (ii)What is the quality of air in most of the days of the month?[1]
   3. (iii)(a)Using table formed in part (i), find mode of the data.[2]
   4. (iii)(b)OR Using table formed in part (i), find median of the data.[2]
   Show answer

   (i) Continuous classes: $0.5$-$100.5$, $100.5$-$200.5$, $200.5$-$300.5$, $300.5$-$400.5$, $400.5$-$500.5$ with frequencies $3,9,12,4,2$. (ii) The air quality is 'Poor' on most days (the class $201$-$300$ has the most days, $12$, and maps to the Poor category). (iii)(a) Mode $\approx 227.77$; OR (iii)(b) Median $=225.5$.

   Step-by-step solution →