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STATISTICS MATHS - STATISTICS

Gujarat Board (GSEB) - STD 11 Science - MATHS (GSEB - English Medium). 219 questions in this chapter.

Question types

STATISTICS question types

219 questions across 3 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

219
Questions
3
Question groups
5
Question types
Sample Questions

STATISTICS questions

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

Q 1MCQ1 Mark
The wickets taken by a bowler in a one day cricket match are 4, 5, 6, 3, 4, 0, 3, 2, 3, 5. The mode of the data is ________ .
  • ✓
    3
  • B
    4
  • C
    5
  • D
    2

Answer: A.

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Q 3MCQ1 Mark
Mode of the distribution is that value of the variate for which the_____is_____.
  • ✓
    frequency, maximum
  • B
    Frequency, minimum
  • C
    frequency, arithmetic mean
  • D
    median, mode

Answer: A.

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Q 4MCQ1 Mark
The average age of 6 students is 11 years. If two more students of age 14 and 16 years join, their average will become
  • A
    13 years
  • ✓
    12 years
  • C
    $ 12\dfrac{1}{2}​\text{ years}$
  • D
    $ 11\dfrac{1}{2}\text{ years}$

Answer: B.

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Q 5MCQ1 Mark
If the mean of x + 2, 2x+ 3, 3x + 4, 4x + 5 is x + 2 then x is equal to:
  • A
    0
  • B
    1
  • ✓
    -1
  • D
    2

Answer: C.

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Q 11(Each question 4 marks)4 Marks
The mean and standard deviation of a group of 100 observation were found to be 20 and 3 respectively. Later on it was found that three observations were incorrect, which were recorded as 21, 21 and 18. Find the mean and standard deviation if the incorrect observations are omitted.
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Q 12(Each question 4 marks)4 Marks
The mean and standard deviation of marks obtained by 50 students of a class in three subjects, Mathematics, Physics and Chemistry are given below:

Subject Mathematics Physics Chemistry
Mean 42 32 40.9
Standard deviation 12 15 20

Which of these three subjects shows the highest variability in marks and which shows the lowest?

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Q 13(Each question 4 marks)4 Marks
The mean and standard deviation of 20 observation are found to be 10 and 2 respectively. On rechecking, it was found that an observation 8 was incorrect. Calculate the correct mean and standard deviation in cases of it is replaced by 12 .
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Q 14(Each question 4 marks)4 Marks
The mean and standard deviation of 20 observation is found to be 10 and 2 respectively. On rechecking, it was found that observation 8 was incorrect. Calculate the correct mean and standard deviation in cases of the wrong items is omitted.
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Q 15(Each question 4 marks)4 Marks
Given that $\bar x $ is the mean and ${\sigma ^2}$ is the variance of n observations $x_1, x_2, ..... x_n$ Prove that the mean and variance of the observation $ax_1, ax_2, .... ax_n$ are $a$$\bar x$ and $a^2{\sigma ^2}$ respectively $(a \ne 0)$
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