CMA Foundation · Fundamentals of Business Mathematics and Statistics · Measures of Central Tendency and Dispersion
Each of the 10 observations in a data set is increased by 5 and then multiplied by 2. If the original mean was 14, what is the new mean?
The new mean is 38. The arithmetic mean is affected by change of origin and scale, so it undergoes the same operations as each observation: add 5 to 14 to get 19, then multiply by 2 to get 38.
- A33
- B28
- C38Correct
- D43
Explanation
The mean follows the same changes as the observations: (14 + 5) × 2 = 19 × 2 = 38. Option 33 adds 5 after doubling only the original mean (28+5), reversing the order of operations, and is wrong.
Did you get it right without looking?
One question tells you little. A timed set on Measures of Central Tendency and Dispersion shows your real accuracy, how long you take and where you lose marks.
More Measures of Central Tendency and Dispersion questions
- The mean of 10 observations was calculated as 50. Later it was found that the value 82 was wrongly read as 28, and the value 35 was wrongly …
- For a moderately skewed distribution, the arithmetic mean is 42 and the median is 40. Using the empirical relationship among the three avera…
- For a distribution of monthly sales of a retail chain, the arithmetic mean is ₹52 thousand, the mode is ₹46 thousand and the standard deviat…
- An investment of a Chennai trader grew by 100% in the first year, by 300% in the second year and by 700% in the third year, each rate being …
- The daily sales (in ₹ thousand) of a Kolkata shop on five days were 12, 15, 19, 20 and 24. What is the arithmetic mean of daily sales?
- A frequency distribution of deliveries per day by a courier firm in Jaipur is: 10 with frequency 2, 20 with frequency 3, 30 with frequency 5…