Quantitative Aptitude

Statistics

606 Questions
All Ungrouped data dispersion and consistency 209 Unknown terms from given average 124 Grouped data central tendencies 101 Merging means and variances of groups 53 Replacement change in average 27 Alligation and weighted average 21 Data interpretation from tables and charts 20 Net successive percentage change 19 Grouped data variance via step deviation 18 Combination of multiple ratios 1

Statistics Questions

Multiple choice

The marks of 10 students in a certain subject in a class are 20, 19, 50, 48, 50, 36, 35, 50, 40, 40 The mean and mode are respectively as .............

  1. Mean =38.8, Mode = 50

  2. Mean = 40, Mode= 35 

  3. Mean = 30, Mode= 33 

  4. Mean = 35, Mode= 25 
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The mean is the sum of all values divided by the count: (20+19+50+48+50+36+35+50+40+40) / 10 = 388 / 10 = 38.8. The mode is the value that appears most frequently, which is 50 (appearing 3 times).

Multiple choice

The following data summarises the result of a certain examination Class-marks 0-5 5-15 15-25 25-35 35-45 45-55 55-65 65-75 No. of students 0 2 16 36 27 11 8 0 Draw the histogram of the above distribution and f ind the approximate measure of the central tendency(Mode) using histogram
  1. Mode $\approx$ 35
  2. Mode $\approx$ 32
  3. Mode $\approx$ 27
  4. Mode $\approx$ 20
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The modal class is 25-35 because it has the highest frequency, 36. Using the grouped-data mode formula gives 25 + (36 - 16)/(2 x 36 - 16 - 27) x 10, which is approximately 31.9. Thus the approximate mode is 32.