alleryBatsman B scored 53, 46, 48, 50, 53, 53, 58, 60, 57, 52. What is the range?
- $46$
- $60$
- $7$
- $14$
Show answer and solution
Correct answer: D. $14$
Max = 60, Min = 46. Range = 60 − 46 = **14**.
NDA Statistics and Probability — practice questions
Explore 20 free Statistics and Probability questions in NDA Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Batsman B scored 53, 46, 48, 50, 53, 53, 58, 60, 57, 52. What is the range?Read the answer and worked solution →The deviation of an observation $x$ from a fixed value $a$ is:Read the answer and worked solution →The sum of deviations of observations from their **mean** $\bar{x}$ is always:Read the answer and worked solution →Mean deviation about a value $a$ is calculated using:Read the answer and worked solution →The mean of the data $\{2, 4, 6, 8, 10\}$ is:Read the answer and worked solution →The median of $\{3, 5, 7, 9, 11\}$ is:Read the answer and worked solution →The median of $\{4, 6, 8, 10\}$ is:Read the answer and worked solution →The mode of $\{1, 2, 2, 3, 4, 4, 4, 5\}$ is:Read the answer and worked solution →The mean of batsman A's scores (30, 91, 0, 64, 42, 80, 30, 5, 117, 71) is:Read the answer and worked solution →The mean of batsman B's scores (53, 46, 48, 50, 53, 53, 58, 60, 57, 52) is:Read the answer and worked solution →The mean of the data $\{2, 3, 5, 7, 8\}$ is:Read the answer and worked solution →If all values in a data set are equal, the range is:Read the answer and worked solution →Which measure of dispersion depends on each observation (not just extremes)?Read the answer and worked solution →For the data $\{4, 4, 4, 4, 4\}$, the mean deviation about the mean is:Read the answer and worked solution →For the data $\{6, 7, 10, 12, 13, 4, 8, 12\}$, the mean is:Read the answer and worked solution →Karl Pearson, mentioned in your syllabus Statistics Ch 13, lived during which period?Read the answer and worked solution →Which of the following is true about the mean of deviations from the mean?Read the answer and worked solution →If the median of a data set is the same as its mean, the data distribution is:Read the answer and worked solution →In the formula $\bar{x} = \dfrac{1}{n} \sum x_i$, what does $n$ represent?Read the answer and worked solution →What does a 'measure of dispersion' tell us about a data set?Read the answer and worked solution →
Worked practice questions
The deviation of an observation $x$ from a fixed value $a$ is:
- $x - a$
- $x \cdot a$
- $x + a$
- $a - x$
Show answer and solution
Correct answer: A. $x - a$
Deviation = $x - a$.
The sum of deviations of observations from their **mean** $\bar{x}$ is always:
- negative
- zero
- positive
- equal to $n$
Show answer and solution
Correct answer: B. zero
$\sum (x_i - \bar{x}) = \sum x_i - n\bar{x} = n\bar{x} - n\bar{x} = 0$.
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