Formula of mean,median,mode??
Answers
Answer:
Mean Sigma fi/xi
median L + f1-f0/2f1-f0-f2
mode A+N - CF/f
Answer:
Explanation:
Mean = Sum of all observations/Number of observations
The value which appears most often in the given data i.e. the observation with the highest frequency is called a mode of data.
Case 1: Ungrouped Data
For ungrouped data, we just need to identify the observation which occurs maximum times.
Mode = Observation with maximum frequency
For example in the data: 6, 8, 9, 3, 4, 6, 7, 6, 3 the value 6 appears the most number of times. Thus, mode = 6. An easy way to remember mode is: Most Often Data Entered. Note: A data may have no mode, 1 mode, or more than 1 mode. Depending upon the number of modes the data has, it can be called unimodal, bimodal, trimodal, or multimodal.
The example discussed above has only 1 mode, so it is unimodal.
Bimodal and Trimodal types of mode with examples
Case 2: Grouped Data
When the data is continuous, the mode can be found using the following steps:
Step 1: Find modal class i.e. the class with maximum frequency.
Step 2: Find mode using the following formula:
Mode =
l
+
[
f
m
−
f
1
2
f
m
−
f
1
−
f
2
]
×
h
where,
l = lower limit of modal class,
f
m
=
frequency of modal class,
f
1
=
frequency of class preceding modal class,
f
2
=
frequency of class succeeding modal class,
h = class width
Consider the following example to understand the formula.