1. The pie chart shows the distribution of books in different languages in a library. If there are 3 000 English books, how many Chinese books are there?
A. 3 600 B. 3 000 C. 2 700 D. 2 500 E. 2 000
2. The following cumulative frequency polygon shows the distribution of marks of 100 students in a test. If 60% of the students pass the test, then the passing mark is
A. 45 B. 50 C. 55 D. 60 E. None of the above
3. The mean age of 30 boys is 16 and that of 20 girls is 15. Find the mean age of these 50 children.
A. 15.4 B. 15.5 C. 15.6 D. 15.7 E. 15.8
4. If the median of x, 8, 3, 2, 5, 9 is 4.5, what is the value of x?
A. 3 B. 4 C. 4.5 D. 5 E. It cannot be determined.
5. The weighted mean of p and 50 is 60. If the weights are in the ratio of 2 : 1, then p =
6. The figures show three symmetric distributions. Arrange their standard deviations in ascending order of magnitude.
(I) (II) (III)
A. (I), (II), (III) B. (I), (III), (II) C. (III), (II), (I)
D. (III), (I), (II) E. None of the above
7. Which of the following is/are correct?
(I) The mode is the data with the highest frequency.
(II) Median = the second quartile
(III) Standard deviation is a measure of central tendency.
A. (I) only B. (I) and (II) C. (I) and (III) D. (II) and (III) E. (I), (II) and (III)
8. Which of the following is/are correct?
(I) Range = maximum value - minimum value
(II) Interquartile range = lower quartile - upper quartile
(III) The greater the standard deviation, the greater the dispersion.
A. (I) only B. (I) and (II) C. (I) and (III) D. (II) and (III) E. (I), (II) and (III)
9. It is given that the mean and the standard deviation of a normal distribution are 100 and 15 respectively. What are the median and the mode?
Median Mode
A. 85 85
B. 100 85
C. 85 100
D. 100 100
E. 115 115
10. The marks of a student in a certain examination and the mean mark and standard deviation of his class are shown in the table. Which subject did he perform best?
Mark |
Mean mark |
Standard deviation |
|
English |
70 |
75 |
10 |
Chinese |
80 |
75 |
10 |
Mathematics |
85 |
80 |
5 |
Integrated Science |
90 |
80 |
15 |
A. Mathematics B. Integrated Science C. Chinese
D. English E. It cannot be determined.