Cumulative Frequency Curves

Name: Cumulative Frequency Curves
Author: StemPy Lab

How many students scored less than 40?

How many scored more than 60?
A cumulative frequency curve, called an ogive, answers both at a glance.
Draw the less than and more than curves, read the median where they cross, find quartiles, and solve the standard problems with a missing frequency.

3 lessons, about 1 h 30 min3 simulations10 problems6 practice questionsPython in every lesson

Course outline (3 lessons)

Lesson 1about 30 min
Less than and more than curves
A cumulative frequency table can be drawn as a curve called an ogive. The less than curve rises and the more than curve falls. Both give the number of values below or above any limit, and the two curves cross at the median.
1 simulation2 practice questions1 Python program3 problems1 Python lab
Read the lesson
Lesson 2about 30 min
Reading a curve: median and quartiles
To read a cumulative frequency curve, go across from a height, and then down to the axis. The height N over 2 gives the median. The heights N over 4 and 3N over 4 give the quartiles, and the difference of the quartiles is the interquartile range.
1 simulation2 practice questions1 Python program4 problems
Read the lesson
Lesson 3about 30 min
Problems with a missing frequency
Boards often hide one frequency, or two, and give the mean, the median or the total instead. Name the missing frequency x, write the formula in terms of x, solve the equation, and check that x is a whole number that is not negative.
1 simulation2 practice questions1 Python program3 problems1 Python lab1 question set1 note
Read the lesson

Olympiad format20 questions · 50 min

Not started

Loading…