Question:
A study had a normal distribution with the median value as 200 and standard deviation 20.68% will fall between
A study had a normal distribution with the median value as 200 and standard deviation 20.68% will fall between
Updated On: Jul 15, 2025
- 160-240
- 170-230
- 180-220
- 190-210
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The Correct Option is C
Solution and Explanation
The normal distribution in this study has a median (also the mean for normal distribution) of 200. For a normal distribution, approximately 68% of the data falls within one standard deviation from the mean. We calculate this range using the given standard deviation of 20.
- Find the range by subtracting and adding one standard deviation from the median:
- Lower bound: \(200 - 20 = 180\)
- Upper bound: \(200 + 20 = 220\)
- The range of one standard deviation from the mean is 180 to 220, which contains approximately 68% of the data.
| Options | Range |
| 160-240 | Does not align with one standard deviation |
| 170-230 | Does not align with one standard deviation |
| 180-220 | Matches one standard deviation range (Correct) |
| 190-210 | Inner range than one standard deviation |
Thus, the correct option is 180-220.
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