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PART - 2 CH - 13 Statistics Maths - PART - 2 CH - 13 Statistics

CBSE - STD 11 Science - Maths (CBSE - English Medium). 51 questions in this chapter.

Question types

PART - 2 CH - 13 Statistics question types

51 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

51
Questions
6
Question groups
5
Question types
Sample Questions

PART - 2 CH - 13 Statistics questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark
If a range is divided into classes $5-10,10-15,15-20,$ $20-25,25-30$ and $30-35,$ then the range of the series will be :
  • A
    5
  • ✓
    30
  • C
    35
  • D
    10

Answer: B.

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Q 2M.C.Q (1 Marks)1 Mark
If the median of a distribution is $8$ and the mean deviation from the median is $64.8,$ the coefficient of mean deviation will be :
  • ✓
    8.1
  • B
    81
  • C
    810
  • D
    0.81

Answer: A.

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Q 3M.C.Q (1 Marks)1 Mark
If A is the mean from which the mean deviation is taken, then the coefficient of mean deviation is :
  • ✓
    $\frac{\text { Mean deviation }}{ A }$
  • B
    $\frac{\bar{x}}{\sigma}$
  • C
    $\frac{\sigma}{x}$
  • D
    $\frac{ A }{\text { Mean deviation }}$

Answer: A.

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Q 4M.C.Q (1 Marks)1 Mark
The assumed mean of a distribution is $a$ and Arithmetic mean is $\bar{x},$ then its variance is :
  • A
    $\frac{\sum f_i\left(x_i-a\right)^2}{N}$
  • B
    $\sqrt{\frac{\sum f_i\left(x_i-a\right)^2}{N}}$
  • ✓
    $\frac{\sum f_i\left(x_i-\bar{x}\right)^2}{N}$
  • D
    $\frac{\sum f_i\left(x_i-\bar{x}\right)}{ N }$

Answer: C.

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Q 152 Marks Questions2 Marks
In a series of $2 n$ observations, half of them equal to $a$ and remaining half equal $-a$. If the standard deviation of the observations is 2, then find the value of $|a|.$
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Q 203 Marks Question3 Marks
Find the mean deviation and standard deviation of the series $a, a+d, a+2 d, \ldots, a+2 n d$ from mean and prove that the variable is greater than the first one.
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Q 213 Marks Question3 Marks
The frequency distribution of income of $100$ families is as follows :
Income (in ₹)0 - 10001000 - 20002000 - 3000
Number of families182630
Income (in ₹)3000 - 40004000 - 50005000 - 6000
Number of families12104

Find the standard deviation.
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Q 223 Marks Question3 Marks
Find the mean and standard deviation of the age distribution given in the following table of 542 persons :
Age (In years)20 - 3030 - 4040 - 5050 - 6060 - 7070 - 8080 - 90
Number of Persons361132153140512
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Q 233 Marks Question3 Marks
The following data are based on the measurement of collar of a representative group of students of a college :
Mid value (in-inches)12.012.513.013.514.0
Number of students216366076
Mid value (in-inches)14.515.015.516.0
Number of students371832

Find the mean and standard deviation of the above data.
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