Question:medium
For 10 observations \(x_1, x_2, \dots, x_{10}\), if \(\sum_{i=1}^{10} (x_i + 2)^2 = 180\) and \(\sum_{i=1}^{10} (x_i - 1)^2 = 90\), then their standard deviation is:
For 10 observations \(x_1, x_2, \dots, x_{10}\), if \(\sum_{i=1}^{10} (x_i + 2)^2 = 180\) and \(\sum_{i=1}^{10} (x_i - 1)^2 = 90\), then their standard deviation is:
Updated On: Apr 10, 2026
- 2
- \(\sqrt{3}\)
- \(2\sqrt{2}\)
- 3
Show Solution
The Correct Option is D
Solution and Explanation
Was this answer helpful?
0
Top Questions on Statistics
- If two numbers \( p \) and \( q \) are chosen randomly from the set \( \{1, 2, 3, 4\} \) with replacement, what is the probability that \( p^2 \geq 4q \)?
- MHT CET - 2024
- Mathematics
- Statistics
- The range of \( 2 \left| \sin x + \cos x \right| - \sqrt{2} \) is:
- VITEEE - 2024
- Mathematics
- Statistics
- Gurpreet is very fond of doing research on plants. She collected some leaves from different plants and measured their lengths in mm.
The length of the leaves from different plants are recorded in the following table.Based on the above information, answer the following questions :\(\text{Length (in mm)}\) 70-80 80-90 90-100 100-110 110-120 120-130 130-140 \(\text{Number of leaves}\) 3 5 9 12 5 4 2 - CBSE Class X - 2024
- Mathematics
- Statistics
- If a certain variable \(x\) divides a statistical data arranged in order into two equal parts; then the value of \(x\) is called the:
- CBSE Class X - 2024
- Mathematics
- Statistics
- Want to practice more? Try solving extra ecology questions todayView All Questions
