In grouped distribution table, values are found which are middle most of class interval.( identify it)_______
Answers
Answer:
In general, if
x1, x2, …xn
x1, x2, …xn are
n
n values of a variable
X,
X, then to find the median we follow the following steps:
Step 1: Arrange the observations in ascending or descending order of magnitude.
Step 2: Determine the total number of observations, say,
n.
n.
Step 3: If
n
n is odd then the median = value of
(n+12)th
(n+12)th observation.
If
n
n is even then the median = arithmetic mean of the value of
(n2)th
(n2)th and
(n2+1)th
(n2+1)thobservation.
Let's look at some examples.
1) Find the median of the following set of data
20, 25, 21, 24, 22, 32, 18
20, 25, 21, 24, 22, 32, 18
Arranging the data in ascending order of magnitude, we have
18, 20, 21, 22, 24, 25, 32
18, 20, 21, 22, 24, 25, 32
There are 7 ( odd number ) observations, therefore, the median is the value of
(7+12)th=4th
(7+12)th=4th observation.
∴
∴median = observation in the 4th position
= 22.
Step-by-step explanation:
False. There is no rule that establishes the previous statement.
There is a rule that states that the inferred limit of the first class must be an exact multiply of the width of the interval.
For example, if the minimum value of the data set is 22 and the width of the interval is 4, the lower bound of the first class is 20 because 4(5)=20.
The number 20 is an exact multiple of 4.
In addition, the first-class must include the minimum value of 22.
The first class is 20-23.
Note that 23 is not a multiply of 4, the width of the interval.
The minimum unit of measure is 1, class width 4 indicates that in each class there are 4 data.
The numbers in the class 20-23 are 20, 21, 22, and 23.