alleryStart learning →Mean of n numbers x₁, x₂, ..., x_n:
- Product
- Σ x_i / n (arithmetic mean)
- Σ x_i
- Max - Min
Show answer and solution
Correct answer: B. Σ x_i / n (arithmetic mean)
Arithmetic mean = Σxi/n.
Most common measure of central tendency. Sensitive to outliers.
PUCET (Punjab) Statistics and Probability — practice questions
Explore 70 free Statistics and Probability questions in PUCET (Punjab) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Statistics and Probability with Quill →Statistics and Probability questions and exercises with answers
Showing questions 1–30 of 70.
Mean of n numbers x₁, x₂, ..., x_n:Read the answer and worked solution →Median of sorted data with odd count n:Read the answer and worked solution →Mode of data set is:Read the answer and worked solution →Probability of certain event:Read the answer and worked solution →Total probability of all mutually exclusive outcomes:Read the answer and worked solution →Standard deviation of n numbers with mean x̄:Read the answer and worked solution →Variance:Read the answer and worked solution →For independent events A and B:Read the answer and worked solution →Mutually exclusive events A and B:Read the answer and worked solution →Conditional probability:Read the answer and worked solution →Bayes' theorem:Read the answer and worked solution →Expected value E(X) of discrete random variable:Read the answer and worked solution →Bernoulli trial has:Read the answer and worked solution →Binomial distribution: P(X = k) =Read the answer and worked solution →Mean of binomial distribution with n trials, success probability p:Read the answer and worked solution →Variance of binomial:Read the answer and worked solution →Mean of 10 numbers is 8. If a new value 30 is added, new mean:Read the answer and worked solution →Box has 5 red, 7 blue balls. Draw 2 without replacement. P(both red):Read the answer and worked solution →P(both red OR both blue) in 2 draws without replacement from 5R 7B box:Read the answer and worked solution →A coin tossed 10 times. P(exactly 5 heads):Read the answer and worked solution →If P(A) = 0.4, P(B) = 0.5, P(A ∩ B) = 0.2: A and B independent?Read the answer and worked solution →For random variable X uniform on [0, 1]: E(X²) =Read the answer and worked solution →For uniform U[0,1]: variance =Read the answer and worked solution →E[X² + Y²] when X, Y are independent identically distributed with E(X) = 0, Var(X) = σ²:Read the answer and worked solution →Cov(X, X) =Read the answer and worked solution →Correlation coefficient r:Read the answer and worked solution →5 cards from deck of 52. P(all spades):Read the answer and worked solution →Coefficient of variation (CV):Read the answer and worked solution →Mean of frequency distribution Σf_i x_i / Σf_i. Find mean of: 2(×3), 4(×5), 6(×2): values 2,4,6 with frequencies 3, 5, 2:Read the answer and worked solution →Standard deviation property: σ(aX + b) =Read the answer and worked solution →
Worked practice questions
Median of sorted data with odd count n:
- First value
- Mean
- Mode
- Middle value (((n+1)/2)-th term)
Show answer and solution
Correct answer: D. Middle value (((n+1)/2)-th term)
**Median:** middle value of sorted data. Robust to outliers.
**For odd n:** just the ((n+1)/2)-th value.
**For even:** mean of two middle values.
Mode of data set is:
- Range
- Median
- Average
- Most frequent value
Show answer and solution
Correct answer: D. Most frequent value
**Mode:** value occurring with highest frequency.
Distribution can have 0, 1, or multiple modes (unimodal, bimodal, etc.).
How to practise
- Choose a Statistics and Probability question and try to work out your answer.
- Open the question to check the correct answer and read its worked solution.
- Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.