STATISTICS Test

STATISTICS

This is STATISTICS Test-01 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
If \(\sum {{f_i}} = 15,{\text{ }}\sum {{f_i}{x_i}} = 3p + 36\) and the mean of the distribution is 3, then the value of ‘p’ is
  • A
    2
  • B
    5
  • C
    4
  • D
    3
    Correct
2
In the formula \(\overline x {\text{ }} = {\text{ }}a + h\left( {\frac{{\sum {{f_i}{u_i}} }}{{\sum {{f_i}} }}} \right)\),for finding the mean, \({u_i} = \)
  • A
    \(h({x_i} - a)\)
  • B
    \(\frac{{{x_i} + a}}{h}\)
  • C
    \(\frac{{{x_i} - a}}{h}\)
    Correct
  • D
    \(\frac{{a - {x_i}}}{h}\)
3
In the formula \(\overline x {\text{ }} = {\text{ }}a + h\left( {\frac{{\sum {{f_i}{u_i}} }}{{\sum {{f_i}} }}} \right)\), ‘h’ stands for
  • A
    class size
    Correct
  • B
    class mark
  • C
    none of these
  • D
    mean
4
If \({x_i}'s{\text{ }}\)are the midpoints of the class intervals of grouped data, \({f_i}'s{\text{ }}\)are the corresponding frequencies and \(\overline x \)is the mean, then \(\sum {\left( {{f_i}{x_i} - \overline x } \right)} \) is equal to
  • A
    – 1
  • B
    0
    Correct
  • C
    2
  • D
    1
5
If \(\sum {{f_i}{x_i} = 1860} \)and \(\sum {{f_i} = 30} \), then the value of \(\overline x \) is
  • A
    63
  • B
    64
  • C
    62
    Correct
  • D
    26
6
In the formula \(\overline x = a + \frac{{\sum {{f_i}{d_i}} }}{{\sum {{f_i}} }}\), \({d_i}\) represents
  • A
    \({x_i} - a\)
    Correct
  • B
    \(a - {x_i}\)
  • C
    \({x_i} + {\text{a}}\)
  • D
    \(a + {x_i}\)
7
The mean of the data when \(\sum {{f_i}{d_i} = - 500} \),\(\sum {{f_i} = 100} \) and \(a = 125\) is
  • A
    100
  • B
    120
    Correct
  • C
    – 500
  • D
    125
8
The mean of the first 10 natural numbers is
  • A
    5
  • B
    4.5
  • C
    5.5
    Correct
  • D
    6
9
The mean of the first 10 prime numbers is
  • A
    none of these
  • B
    12.9
    Correct
  • C
    129
  • D
    1.29
10
The mean of first 10 composite numbers is
  • A
    11.2
    Correct
  • B
    11.4
  • C
    12.2
  • D
    none of these
11
If \(\sum {{f_i}{u_i} = 29} \), \(\sum {{f_i} = 30} \), a = 47.5 and h = 15, then the value of \(\overline x \) is
  • A
    63
  • B
    26
  • C
    64
  • D
    62
    Correct
12
The marks obtained by 9 students in Mathematics are 59, 46, 31, 23, 27, 40, 52, 35 and 29. The mean of the data is
  • A
    30
  • B
    41
  • C
    23
  • D
    38
    Correct
13
If \(\sum {{f_i}} = 17,{\text{ }}\sum {{f_i}{x_i}} = 4p + 63\) and the mean of the distribution is 7, then the value of ‘p’ is
  • A
    15
  • B
    14
    Correct
  • C
    12
  • D
    13
14
In the formula \(\overline x {\text{ }} = {\text{ }}a + h\left( {\frac{{\sum {{f_i}{u_i}} }}{{\sum {{f_i}} }}} \right)\), ‘a’ stands for
  • A
    class mark
  • B
    mean
  • C
    assumed mean
    Correct
  • D
    class size
15
\(\sum {\left( {{x_i} - \overline x } \right)} \) is equal to
  • A
    1
  • B
    2
  • C
    – 1
  • D
    0
    Correct