Tag: percentiles and quartiles

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Questions Related to percentiles and quartiles

Multiple choice median percentiles and quartiles range and mean deviation mode

Calculation of Decile for individual data:
Find the $D _4$ and from the following data.
$20,22,24,26,28,30,32,34,36$

  1. 28

  2. 26

  3. 30

  4. 24
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For individual data, D_k = value at position k*(n+1)/10. For n=9, D_4 = value at 4*(10)/10 = 4th position. The 4th value in the sorted list 20, 22, 24, 26, 28, 30, 32, 34, 36 is 26.

Multiple choice median percentiles and quartiles range and mean deviation mode

Find $D _2$ for the following data:

Marks 10 20 30 40 50 60
No of Students 5 6 4 5 10 9

  1. 50 marks

  2. 20 marks

  3. 30 marks

  4. 40 marks
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total students = 5+6+4+5+10+9 = 39. D_2 position = 2*(39+1)/10 = 8th position. Cumulative frequencies: 5, 11, 15, 20, 30, 39. The 8th value falls in the 20 marks category.

Multiple choice median percentiles and quartiles range and mean deviation mode

Calculation of Decile for individual data:
Find the $D _8$ and from the following data.
$20,22,24,26,28,30,32,34,36$

  1. $D _8$=34
  2. $D _8$=32
  3. $D _8$=36
  4. $D _8$=28
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For n=9, D_8 = value at 8*(10)/10 = 8th position. The 8th value in the sorted list 20, 22, 24, 26, 28, 30, 32, 34, 36 is 34.

Multiple choice median percentiles and quartiles range and mean deviation mode

Find $D _4$ for the following data.

Marks 0-10 10-20 20-30 30-40 40-50 50-60
No of Students 5 6 5 5 10 9
  1. $D _4=30$
  2. $D _4=20$
  3. $D _4=40$
  4. $D _4=10$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total frequency = 44. D_4 position = 4*(44)/10 = 17.6. Cumulative frequencies: 5, 11, 16, 21, 31, 40. The 17.6th value falls in the 30-40 class interval.

Multiple choice median percentiles and quartiles range and mean deviation mode

For the following grouped frequency distribution find the mode:

Class: 3-6 6-9 9-12 12-15 15-18 18-21 21-24
Frequency: 2 5 10 23 21 12 3

  1. 13.9

  2. 14.7

  3. 15.1

  4. 14.6
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The modal class is 12-15 because it has the highest frequency (23). Applying the standard mode formula for grouped data with lower limit 12, frequency 23, preceding frequency 10, succeeding frequency 21, and class width 3 gives 14.6.