Statistics MCQ

1. A sample of 15 data is as follows: 17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3. The mode of the data is

1. 4
2. 13
3. 17
4. 20

2. The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60, 53, and 49. The median speed (expressed in km/hr) is

1. 54.5
2. 60
3. 62.5
4. 54.5

3. If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed is

1. 0.1867
2. 0.1517
3. 0.3646
4. 0.2666

4. A class of first year B. Tech. students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2, respectively. It is decided by the course instructor to normalize the marks of the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the marks of a student in batch C are changed from 8.5 to

1. 6.0
2. 7.0
3. 8.0
4. 9.0

5. Which one of the following statements is NOT true?

1. The measure of skewness is dependent upon the amount of dispersion
2. In a symmetric distribution, the values of mean, mode and median are the same
3. In a positively skewed distribution: mean > median > mode
4. In a negatively skewed distribution: mode > mean > median