KnowledgeBoat Logo

Mathematics

If the classes of a frequency distribution are 1 - 10, 11 - 20, 21 - 30, ….., 61 - 70, then the upper limit of the class 11 - 20 is

  1. 20

  2. 21

  3. 19.5

  4. 20.5

Measures of Central Tendency

11 Likes

Answer

On converting the class from discontinuous intervals into continuous intervals.

Adjustment factor = (Lower limt of one class - Upper limit of previous class) / 2

=11102=12=0.5= \dfrac{11 - 10}{2} \\[1em] = \dfrac{1}{2} \\[1em] = 0.5

Classes before adjustmentClasses after adjustment
1 - 100.5 - 10.5
11 - 2010.5 - 20.5
21 - 3020.5 - 30.5
31 - 4030.5 - 40.5
41 - 5040.5 - 50.5
51 - 6050.5 - 60.5
61 - 7060.5 - 70.5

From table, the upper limit of the class 11 - 20 is 20.5

Hence, Option 4 is the correct option.

Answered By

2 Likes


Related Questions