draw a greater than cumulative curve and find median height from it.
Answers
Answer- The above question is from the chapter 'Statistics'.
Statistics- It is a branch of Mathematics dealing with the collection and analysis of data which can be single as well as grouped.
Median- The middlemost value of given data is called median.
Ogive- Cumulative Frequency curve is called ogive.
It is of two types: a) Less than ogive and b) more than ogive.
Ogive or cumulative frequency curve helps in finding the median of grouped data.
Formula of median in Grouped data:
Median = l + [(N/2 - CF)/f] h
where l = lower limit of median class
N = Total sum of frequencies
CF = Cumulative frequency just before median class
f = Frequency of median class
h = Height of class intervals
Given question: Draw a greater than cumulative curve and find median height from it.
Solution: Let's draw a cumulative frequency table first.
C. I. C.F.
More than 90 = 32
More than 100 = 27
More than 110 = 25
More than 120 = 22
More than 130 = 14
More than 140 = 6
Ordered pairs = (90,32) , (100,27) , (110,25) , (120,22) , (130,14) and (140,6).
Let's plot the ogive on the graph.
(The graph has been attached.)
N = 32
N/2 = 16
Hence, median height = 123.33 cm
