ICSE Class 10

General instructions: Answer all questions. Marks are shown in brackets [ ].

Objective

1. 1.
   Find the arithmetic mean of the first six positive even integers.

   1. A. 6
   2. B. 7
   3. C. 8
   4. D. 12
   [1]
2. 2.
   The daily minimum temperature recorded (in degrees F) at a place during a week was as under:

   Monday	Tuesday	Wednesday	Thursday	Friday	Saturday	Sunday
   35.5	30.8	28.3	31.1	23.8	29.9	32.7

   What is the mean temperature of the week?

   1. A. 28.9°F
   2. B. 30.3°F
   3. C. 32.1°F
   4. D. 212.1°F
   [1]
3. 3.
   A student got the following marks in 9 questions of a question paper: 3, 5, 7, 3, 8, 0, 1, 4 and 6. What is the median of these marks?

   1. A. 3
   2. B. 4
   3. C. 5
   4. D. 6
   [1]
4. 4.
   The weights (in kg) of 10 students of a class are given below: 21, 28.5, 20.5, 24, 25.5, 22, 27.5, 28, 21 and 24. What is the median of their weights?

   1. A. 24 kg
   2. B. 24.25 kg
   3. C. 24.5 kg
   4. D. 25 kg
   [1]
5. 5.
   Find the median of the following set of numbers: 7, 2, 5, 1, 4, 0, 2, 9, 5, 8, 3, 10, 4.

   1. A. 4
   2. B. 5
   3. C. 3.5
   4. D. 4.5
   [1]
6. 6.
   The weights (in kg) of 8 children are given below: 10.6, 12.7, 9.8, 17.2, 13.4, 15, 16.5, 14.3. What is the median weight?

   1. A. 13.4 kg
   2. B. 13.85 kg
   3. C. 14.3 kg
   4. D. 15 kg
   [1]
7. 7.
   If the mean of the observations x, x + 3, x + 5, x + 7, and x + 10 is 9, what is the mean of the last three observations?

   1. A. 10
   2. B. 11
   3. C. 11 1/3
   4. D. 12
   [1]
8. 8.
   Calculate the mean, the median and the mode of the following numbers: 2, 1, 0, 3, 1, 2, 3, 4, 3, 5. Which of the following sets of values correctly represents them?

   1. A. Mean = 2.4, Median = 2.5, Mode = 3
   2. B. Mean = 2.5, Median = 3, Mode = 2
   3. C. Mean = 2.4, Median = 3, Mode = 2
   4. D. Mean = 2.0, Median = 2.5, Mode = 3
   [1]
9. 9.
   The following table gives the ages of 50 students of a class. Find the arithmetic mean of their ages.

   Age (years)	16 - 18	18 - 20	20 - 22	22 - 24	24 - 26
   No. of students	2	7	21	17	3

   What is the arithmetic mean of their ages?

   1. A. 20.6 years
   2. B. 21.2 years
   3. C. 22.4 years
   4. D. 21.0 years
   [1]
10. 10.
    If 69.5 is the mean of the numbers 72, 70, x, 62, 50, 71, 90, 64, 58 and 82, what is the value of x?

    1. A. 68
    2. B. 76
    3. C. 84
    4. D. 59.5
    [1]
11. 11.
    Find the mean by the ‘step-deviation method’ for the following frequency distribution:

    C.I.	63 – 70	70 – 77	77 – 84	84 – 91	91 – 98	98 – 105	105 – 112
    Frequency	9	13	27	38	32	16	15

    What is the mean of the data?

    1. A. 84.2
    2. B. 87.5
    3. C. 91.0
    4. D. 94.8
    [1]
12. 12.
    Calculate the mean, the median and the mode of the following numbers: 7, 9, 8, 11, 8, 12, 8, 9. Which of the following sets of values correctly represents the mean, median, and mode for the given data?

    1. A. Mean = 9, Median = 8, Mode = 8
    2. B. Mean = 8.5, Median = 9, Mode = 8
    3. C. Mean = 9, Median = 8.5, Mode = 8
    4. D. Mean = 8, Median = 9, Mode = 7
    [1]
13. 13.
    If the mean of 7, 10, 4, 12, x, 3 is 7.5, find the value of x.

    1. A. 6
    2. B. 9
    3. C. 12
    4. D. 4.5
    [1]
14. 14.
    Using the direct method, find the mean of the following frequency distribution:

    x	5	15	25	35	44.5
    f	14	16	20	30	20

    1. A. 25.50
    2. B. 27.50
    3. C. 30.00
    4. D. 22.50
    [1]
15. 15.
    The mean of the following distribution is 50. What is the unknown frequency f?

    Class Interval	Frequency
    0-20	6
    20-40	f
    40-60	8
    60-80	12
    80-100	8

    1. A. 12
    2. B. 16
    3. C. 20
    4. D. 24
    [1]
16. 16.
    Calculate the mean weight to the nearest gram from the following frequency distribution:

    Weight (in gms)	Frequency
    74·5—79·5	4
    79·5—84·5	9
    84·5—89·5	13
    89·5—94·5	17
    94·5—99·5	12
    99·5—104·5	3
    104·5—109·5	2

    1. A. 88 gm
    2. B. 90 gm
    3. C. 91 gm
    4. D. 92 gm
    [1]
17. 17.
    If the mean of the following distribution is 3, find the value of p:

    x	1	2	3	5	p+4
    f	9	6	9	3	6

    1. A. 0
    2. B. 2
    3. C. 3
    4. D. 6
    [1]
18. 18.
    The mean of 1, 7, 5, 3, 4 and 4 is m. The numbers 3, 2, 4, 2, 3, 3 and p have mean m - 1 and median q. What are the values of p and q?

    1. A. p = 8, q = 3
    2. B. p = 7, q = 2
    3. C. p = 9, q = 3
    4. D. p = 8, q = 4
    [1]
19. 19.
    If the mean of the following distribution is 3, find the value of $p$.

    x	1	2	3	5	p+4
    f	9	6	9	3	6

    1. A. 1
    2. B. 2
    3. C. 0
    4. D. 3
    [1]
20. 20.
    The following numbers are written in descending order of their values: 68, 60, 52, $x - 3$, $x - 8$, $x - 11$, 30, 25, 22 and 20. If their median is 39, what is the value of $x$?

    1. A. 42.0
    2. B. 48.5
    3. C. 51.0
    4. D. 39.0
    [1]