Math Olympiad Test: Statistics- 1 - Class 9 MCQ

Range = uppermost value – lowest value
= 112 – 14
= 98 

5 – 10

Lower limit =

Given that, the lower class limit of a class interval is l and the mid-point of the class is m. Let u be the upper class limit of the class interval. Therefore, we have

⇒ l +u = 2m
⇒ u = 2m - 1
Thus the upper class limit of the class is (2m - l).

Lower limit = mid-value – 

A frequency polygon is constructed by plotting frequency of the class interval and mid value of the class.

Cumulative histograms, also known as ogives, are graphs that can be used to determine how many data values lie above or below a particular value in a data set. An ogive (oh-jive), sometimes called a cumulative frequency polygon, is a type of frequency polygon that shows cumulative frequencies.

Total number of students
= 4 + 10 + 16 + 20 + 16 
= 66

Given 
⇒ if 5 is added to every number, then, 

⇒ x₁ + x₂ …… + x₁₀ = 16 ……. (i)
Let x₂ and x₃ are removed, then, 

⇒ x₁ + x₄ + ….. + x₁₀ = 144 …….(ii)

Now, Eq. (i) – (ii)

x₂ + x₃ = 160 – 144 = 16