Mathematics · Quantitative Aptitude

Statistics and Dispersion

515 Questions

Statistics and dispersion involve the calculation of mean, standard deviation, variance, and coefficient of variation for data sets. These questions also cover probability distributions and cumulative frequency analysis. Such quantitative aptitude topics are heavily featured in banking and SSC examinations.

Standard deviationNormal distributionMean calculationCumulative frequencyCoefficient of variation

Statistics and Dispersion Questions

Multiple choice javascript

How do you find the largest number of 6 and 8?

  1. Math.max(6,8)

  2. top(6,8)

  3. ceil(6,8)

  4. Math.ceil(6,8)
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The Math.max() method returns the largest number from a list of arguments. Option A correctly uses Math.max(6,8) to find the larger value. ceil() rounds up to the next integer, it doesn't compare values, and there's no top() method in JavaScript.

Multiple choice six-sigma green-belt

Arithmetic average of a set of values is known as

  1. Median

  2. Standard Deviation

  3. Mode

  4. Mean
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The mean (arithmetic average) is calculated by summing all values in a dataset and dividing by the count of values. It's the most common measure of central tendency. The median is the middle value, mode is the most frequent value, and standard deviation measures spread.

Multiple choice six-sigma green-belt

Center line on a box plot indicates

  1. Mean

  2. Median

  3. Mode

  4. Average of Mean, Median and Mode
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The center line (and the line inside the box) of a box plot represents the median of the dataset. The box itself shows the interquartile range (IQR) from Q1 to Q3. The mean is not typically shown on a standard box plot unless specifically marked.

Multiple choice general knowledge math & puzzles

The average of 7 numbers of a set is 33, if a new number ‘k’ is included in the set, then the average becomes 35. Col A: The value of k Col B: 47 which column is greater?

  1. col B

  2. Col A

  3. Both are equal

  4. Can't be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Sum of 7 numbers = 7 * 33 = 231. Sum of 8 numbers (including k) = 8 * 35 = 280. Therefore, k = 280 - 231 = 49. Since 49 (Col A) is greater than 47 (Col B), Column A is the correct answer.

Multiple choice general knowledge math & puzzles

Col A: Standard Deviation of numbers having an average 40 Col B: Standard Deviation of numbers having an average 35 Which column is greater?

  1. Col A

  2. Col B

  3. Both are equal.

  4. Can't be determined.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Standard deviation measures spread from the mean, not the mean itself. Two datasets with different averages (40 vs 35) can have any standard deviation relationship depending on how their values are distributed around their respective means.

Multiple choice general knowledge math & puzzles
  1. The numbers 4 and 6 are the first two numbers that are the averages (or the means) of two consecutive prime numbers that differ by 2. I am the third number that has the same properties. What number am I?

  1. 9

  2. 7

  3. 12

  4. 15
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The first two numbers are 4 (average of 3 and 5) and 6 (average of 5 and 7). The next pair of twin primes is 11 and 13, whose average is 12. Option 9 is not the average of any twin prime pair.

Multiple choice general knowledge math & puzzles

The terms “Mean”, “Median”, and “Mode” refer to

  1. The average

  2. Numbers

  3. Measure of Central Tendency

  4. Standard Deviation

  5. All of the above
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Mean, median, and mode are the three primary measures used in statistics to identify the center of a data set. While 'average' is often used as a synonym for mean, the collective term for all three is 'Measures of Central Tendency'.