CAT · Quantitative Ability

Data analysis

11 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 11 questions

  1. The average of numbers is . When a new number, , is added, what is the new average?
  2. The average of numbers is . When a new number, , is added, what is the new average?
  3. The average of numbers is . When a new number, , is added, what is the new average?
  4. The average of numbers is . When a new number, , is added, what is the new average?
  5. The average of numbers is . When a new number, , is added, what is the new average?
  6. Seven distinct positive integers have a mean of and a median of . What is the greatest possible value of the largest integer?
  7. Four letters are placed at random into four addressed envelopes, one letter per envelope. What is the probability that at least one letter goes into its correct envelope?
  8. In how many distinct arrangements of the letters of the word ARRANGE are the two R's not next to each other?
  9. The mean of a dataset of 10 numbers is 20. If each number is multiplied by 3 and then 5 is subtracted from the result, what is the new mean of the dataset?
  10. The variance of a set of 8 observations is 16. If each observation is multiplied by -2, what is the variance of the new set of observations?
  11. In a distribution with mean 50 and standard deviation 10, what is the coefficient of variation?

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