QUANTITATIVE METHODS.

QUANTITATIVE METHODS
STUDENT ID:
[Pick the date]

1. Summarising data
a.) Mean, Median and Mode
b.) Mean
c.) The relevant formula for computation of median is given below.
d.) Median between the two data points is computed as shown below.
Median= ∑ of data points
2
e.) Mode is a statistical value that refers to a number which has the highest frequency in the
given data set.
f.) The difference between maximum value of data set and minimum value of data set is
termed as range.
Range = Maximum – Minimum
g.) Data points
2

h.) 50% of data points would fall between lower and upper quartile.
i.) The relevant formula or equation for determination of the two quartiles is given below.
2. Arranging Data
i) First 5 data points
First 5 data points = 0.2, 0.4, 1.3, 1.7, 1.9
j.) Grouped frequency table
Class Interval Class Centre
(x)
Frequency
(f)
f*x Cumulative Frequency
0 ≤ x ≤ 5 2.5 2 5.0 2
5 ≤ x ≤ 10 7.5 3 22.5 5
k.) Mean of a grouped frequency
Mean=∑ f ∗x
∑ f = (5+22.5)
(2+3) = 27.5
5 =5.5
3. Summarising Data
l.) Measures of central tendency in 5 number summary = Median
3

Measures of spread in 5 number summary = First and third quartile
m.) The 5 measures in box and whisker plot
n.) 25% of data points is represented by each whisker.
o.) Number of students got a test score of 70 or above
Frequency of class = 70-79 = 11
Frequency of class = 80- 89 = 6
Frequency of class = 89-99 = 3
Total number of students got a test score of 70 or above = 11 + 6 + 3 = 20
p.) Frequency polygon on histogram
4

q.) Distribution and box plot
1.) A Uniform, Symmetrical Distribution
2.) A Normal, Symmetrical Distribution
5

3.) A Negatively, Skewed Distribution
6

4.) A Negatively, Skewed Distribution
7