STATISTICS Test

STATISTICS

This is STATISTICS Test-02 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
If \(\sum {{f_i}{x_i} = 625} \)and \(\sum {{f_i} = 25} \), then the value of \(\overline x \) is
  • A
    63
  • B
    25
    Correct
  • C
    64
  • D
    26
2
The mean of the data when \(\sum {{f_i}{d_i} = 435} \),\(\sum {{f_i} = 30} \) and \(a = 47.5\) is
  • A
    62
    Correct
  • B
    63
  • C
    47.5
  • D
    30
3
The mean of the first 10 natural odd numbers is
  • A
    9
  • B
    11
  • C
    10
    Correct
  • D
    12
4
The mean of the first 10 multiples of 6 is
  • A
    3.3
  • B
    none of these
  • C
    33
    Correct
  • D
    34
5
The mean of all the factors of 24 is
  • A
    7
  • B
    7.5
    Correct
  • C
    none of these
  • D
    24
6
If \(\sum {{f_i}{u_i} = - 7} \), \(\sum {{f_i} = 25} \), a = 225 and h = 50, then the value of \(\overline x \) is
  • A
    214
  • B
    213
  • C
    212
  • D
    211
    Correct
7
The marks obtained by 9 students in Mathematics are 59, 46, 31, 23, 27, 44, 52, 40 and 29. The mean of the data is
  • A
    37
  • B
    40
  • C
    39
    Correct
  • D
    38
8
The arithmetic mean of a set of 40 values is 65. If each of the 40 values is increased by 5, what will be the mean of the set of new values:
  • A
    70
    Correct
  • B
    none of these
  • C
    50
  • D
    60
9
The mean of 25 observations is 36. If the mean of first 13 observations is 32 and that of the last 13 observations is 39, then the 13th observation is
  • A
    36
  • B
    32
  • C
    13
  • D
    23
    Correct
10
The mean of ‘n’ observations is \(\overline x \). If the first item is increased by 1, second by 2 and so on, then the new mean is
  • A
    \(\overline x - \frac{{n - 1}}{2}\)
  • B
    \(\overline x - \frac{{n + 1}}{2}\)
  • C
    \(\overline x \)
  • D
    \(\overline x + \frac{{n + 1}}{2}\)
    Correct
11
The arithmetic mean of 1, 2, 3, 4, ……………….., n is
  • A
    \(\frac{n}{2}\)
  • B
    \(\frac{{n - 1}}{2}\)
  • C
    \(\frac{{n(n + 1)}}{2}\)
  • D
    \(\frac{{n + 1}}{2}\)
    Correct
12
If \({x_i}\) is changed to \({x_i}\)+a, then \(\overline x \) is changed to
  • A
    \(\overline x \) – a
  • B
    a\(\overline x \)
  • C
    \(\overline x \)/a
  • D
    \(\overline x \)+a
    Correct
13
For any collection of ‘n’ items, \(\left( {\sum x } \right) - \overline x = \)
  • A
    (n + 1)\(\overline x \)
  • B
    n\(\overline x \)
  • C
    0
  • D
    (n – 1)\(\overline x \)
    Correct
14
The arithmetic mean of the following data is 53. Class 0-20 20-40 40-60 60-80 80-100 Freq 12 15 32 p 13 The value of ‘p’ is
  • A
    28
    Correct
  • B
    17
  • C
    20
  • D
    27
15
\(\frac{{{\text{Upper class limit + Lower class limit}}}}{{\text{2}}}{\text{ = }}\)
  • A
    none of these
  • B
    class size
  • C
    frequency
  • D
    class mark
    Correct