✓ Board-verified
Mathematics · 2022 · 3 marks
CBSE 2022 · Region 1 · Set 3 · Q10
The following table gives the production yield of wheat of farms of a village : Production Yield (in kg / ha) $\displaystyle 50$-$\displaystyle 60$ $\displaystyle 60$-$\displaystyle 70$ $\displaystyle 70$-$\displaystyle 80$ $\displaystyle 80$-$\displaystyle 90$ $\displaystyle 90$-$\displaystyle 100$ Number of Farms $\displaystyle 7$ $\displaystyle 12$ $\displaystyle 11$ $\displaystyle 8$ $\displaystyle 2$
Find the mean production yield, using assumed mean method.
| Production Yield (in kg / ha) | $\displaystyle 50$-$\displaystyle 60$ | $\displaystyle 60$-$\displaystyle 70$ | $\displaystyle 70$-$\displaystyle 80$ | $\displaystyle 80$-$\displaystyle 90$ | $\displaystyle 90$-$\displaystyle 100$ |
| Number of Farms | $\displaystyle 7$ | $\displaystyle 12$ | $\displaystyle 11$ | $\displaystyle 8$ | $\displaystyle 2$ |
Marking-scheme solution
| Class | \(\displaystyle X\) | \(\displaystyle f\) | \(\displaystyle d=x-75\) | f.d |
| $\displaystyle 50$-$\displaystyle 60$ | $\displaystyle 55$ | $\displaystyle 7$ | -$\displaystyle 20$ | -$\displaystyle 140$ |
| $\displaystyle 60$-$\displaystyle 70$ | $\displaystyle 65$ | $\displaystyle 12$ | -$\displaystyle 10$ | -$\displaystyle 120$ |
| $\displaystyle 70$-$\displaystyle 80$ | $\displaystyle 75$ | $\displaystyle 11$ | $\displaystyle 0$ | $\displaystyle 0$ |
| $\displaystyle 80$-$\displaystyle 90$ | $\displaystyle 85$ | $\displaystyle 8$ | $\displaystyle 10$ | $\displaystyle 80$ |
| $\displaystyle 90$-$\displaystyle 100$ | $\displaystyle 95$ | $\displaystyle 2$ | $\displaystyle 20$ | $\displaystyle 40$ |
| $\displaystyle 40$ | -$\displaystyle 140$ |
More from Statistics
- The dimensions of a window are 156 cm × 216 cm. Arjun wants to put grill on the window creating complete…2026 · asked 3×
- India meteorological department observes seasonal and annual rainfall every year in different sub-divisions…2023 · asked 3×
- 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 the mean and mode of a data are 12 and 21 respectively, then its median is:2026 · asked 3×
- If the value of each observation of a statistical data is increased by 3, then the mean of the data2023 · asked 3×
- The middle most observation of every data arranged in order is called:2024 · asked 3×
- If value of each observation in a data is increased by 2, then median of the new data2024 · 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×
CBSE Class 10 Mathematics past-paper question from the 2022board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.