CBSE 2025 · Region 6 · Set 3 · Q34 · 5 marks
The population of lions was noted in different regions across the world in the following table : Number of lions Number of regions $\displaystyle 0$-$\displaystyle 100$ $\displaystyle 2$ $\displaystyle 100$-$\displaystyle 200$ $\displaystyle 5$ $\displaystyle 200$-$\displaystyle 300$ $\displaystyle 9$ $\displaystyle 300$-$\displaystyle 400$ $\displaystyle 12$ $\displaystyle 400$-$\displaystyle 500$ $\displaystyle x$ $\displaystyle 500$-$\displaystyle 600$ $\displaystyle 20$ $\displaystyle 600$-$\displaystyle 700$ $\displaystyle 15$ $\displaystyle 700$-$\displaystyle 800$ $\displaystyle 9$ $\displaystyle 800$-$\displaystyle 900$ y $\displaystyle 900$-$\displaystyle 1000$ $\displaystyle 2$ $\displaystyle 100$
If the median of the given data is $\displaystyle 525$, find the values of $\displaystyle x$ and y .
| Number of lions | Number of regions |
| $\displaystyle 0$-$\displaystyle 100$ | $\displaystyle 2$ |
| $\displaystyle 100$-$\displaystyle 200$ | $\displaystyle 5$ |
| $\displaystyle 200$-$\displaystyle 300$ | $\displaystyle 9$ |
| $\displaystyle 300$-$\displaystyle 400$ | $\displaystyle 12$ |
| $\displaystyle 400$-$\displaystyle 500$ | $\displaystyle x$ |
| $\displaystyle 500$-$\displaystyle 600$ | $\displaystyle 20$ |
| $\displaystyle 600$-$\displaystyle 700$ | $\displaystyle 15$ |
| $\displaystyle 700$-$\displaystyle 800$ | $\displaystyle 9$ |
| $\displaystyle 800$-$\displaystyle 900$ | y |
| $\displaystyle 900$-$\displaystyle 1000$ | $\displaystyle 2$ |
| $\displaystyle 100$ |
Marking-scheme solution
| Number of lions | Number of regions | Cumulative frequency |
| $\displaystyle 0$-$\displaystyle 100$ | $\displaystyle 2$ | $\displaystyle 2$ |
| $\displaystyle 100$-$\displaystyle 200$ | $\displaystyle 5$ | $\displaystyle 7$ |
| $\displaystyle 200$-$\displaystyle 300$ | $\displaystyle 9$ | $\displaystyle 16$ |
| $\displaystyle 300$-$\displaystyle 400$ | $\displaystyle 12$ | $\displaystyle 28$ |
| $\displaystyle 400$-$\displaystyle 500$ | \(\displaystyle x\) | \(\displaystyle 28+x\) |
| $\displaystyle 500$-$\displaystyle 600$ | $\displaystyle 20$ | \(\displaystyle 48+x\) |
| $\displaystyle 600$-$\displaystyle 700$ | $\displaystyle 15$ | \(\displaystyle 63+x\) |
| $\displaystyle 700$-$\displaystyle 800$ | $\displaystyle 9$ | \(\displaystyle 72+x\) |
| $\displaystyle 800$-$\displaystyle 900$ | y | \(\displaystyle 72+x+y\) |
| $\displaystyle 900$-$\displaystyle 1000$ | $\displaystyle 2$ | \(\displaystyle 74+x+y\) |
| $\displaystyle 100$ |
StatisticsMedian of Grouped DataApplylong_answermedium
More from Statistics
- If the mode of some observations is 10 and sum of mean and median is 25, then the mean and median…2025 · asked 3×
- If x median + y mean = z mode; is the empirical relationship between mean, median and mode, then the value of…2025 · asked 3×
- Following data shows the marks obtained by 100 students in a class test: The median will be the average of…2025 · asked 3×
- The India Meteorological Department observes seasonal and annual rainfall every year in different…2025 · asked 3×
- If the maximum number of students has obtained 52 marks out of 80, then2025 · asked 3×
- The cumulative frequency for calculating median is obtained by adding the frequencies of all the:2025 · asked 3×
- If the mean of 2,9, x+6,2 x+3,5,10,5 is 7, then the value of x is:2025 · asked 2×
- Mode and Mean of a data are 15x and 18x, respectively. Then the median of the data is:2025 · asked 2×
CBSE Class 10 Mathematics past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.