Q1 · hard · AI-verified
The marks obtained by 20 students in a mathematics test are: 65, 70, 72, 75, 78, 80, 82, 85, 88, 90, 92, 95, 68, 73, 76, 84, 86, 89, 93, 96. If the median of this data is M and the mode is O (where O represents 'no mode'), what is the value of M + O?
- 81.5
- 85.0
- 83.0
- 78.5
Q2 · hard · AI-verified
In a frequency distribution, the mode is 65 and the mean is 69. Using the empirical relationship, what is the median?
- 66
- 67
- 68
- 69
Q3 · hard · AI-verified
The variance of 5 numbers 2, 4, 6, 8, 10 is:
- 8
- 6
- 10
- 12
Q4 · hard · AI-verified
The median of the data set {3, 7, 9, 12, 15, 18, 21} is 12. If each value is increased by 5, what is the new median?
- 21
- 17
- 15
- 19
Q5 · hard · AI-verified
A rectangular tank 12 m × 8 m × 6 m is filled with water to 2/3 of its height. How much water (in liters) does it contain?
- 320000
- 384000
- 576000
- 480000