CMA Intermediate · Financial Management and Business Data Analytics · Data Analysis and Modelling
In a loan dataset of an NBFC, 8% of the 'Monthly Income' values are blank. The incomes are heavily right-skewed because a few borrowers earn very high amounts. Which imputation is generally more suitable for the blanks?
The median of the available incomes is more suitable. With right-skewed data, a few very high earners pull the mean upward, while the median stays robust to outliers and reflects a typical borrower. Using zero or the maximum would badly distort the distribution.
- AMedian of the available incomesCorrect
- BArithmetic mean of the available incomes
- CThe maximum income recorded
- DZero
Explanation
In a right-skewed distribution the mean is pulled upward by extreme high values, so filling with the mean would overstate typical income. The median is resistant to outliers and better represents a typical borrower. Zero would distort the data downward and the maximum upward.
Did you get it right without looking?
One question tells you little. A timed set on Data Analysis and Modelling shows your real accuracy, how long you take and where you lose marks.
More Data Analysis and Modelling questions
- For five observations, the sums are: n = 5, ΣX = 20, ΣY = 50, ΣXY = 230, ΣX² = 90. Using least squares, what is the regression coefficient o…
- The marks of seven analysts' reports scores, arranged in ascending order, are 4, 6, 8, 10, 12, 14 and 40. Which measure best represents a ty…
- A analyst's regression of a company's quarterly profit on sales gives a slope of 0.12 with a standard error of 0.04. Using the t-statistic (…
- A dataset of 5,000 invoices of a Pune manufacturer has values with mean ₹80,000 and standard deviation ₹10,000. Using the z-score rule that …
- Daily returns (in %) of a stock over four days are 2, 4, 6 and 8. Treating these four days as the entire population, what is the standard de…
- A firm estimates the regression line Y = 40 + 5X, where Y is monthly maintenance cost (Rs thousand) and X is machine hours (hundreds). What …