BIOSTATISTICS
| MEAN |
| MEDIAN |
| MODE |
| STANDARD DEVIATION |
| MEAN DEVIATION |
| VARIABILITY |
| AVERAGE |
Mean is the most commonly used measure of central tendency. It actually represents the average of the given collection of data. It is applicable for both continuous and discrete data.
It is equal to the sum of all the values in the collection of data divided by the total number of values.
Suppose we have n values in a set of data namely as x1,x2,x3……………….xn then the mean of data is given by:
x¯= x1+x2+x3+……..+xnn
It can also be denoted as:
<m> {Sigma^n{_i=1}x_i}/n </m>
| S.No | Name | Runs Scored |
|---|---|---|
| 1 | Alexander | 80 |
| 2 | Aladdin | 52 |
| 3 | Anastasia | 40 |
| 4 | Anushka | 52 |
| 5 | Katrina | 70 |
| 6 | Nikita | 1 |
| 7 | Aryan | 6 |
- i) The mean is given by x¯ = ∑ni=1xin
- ⇒x¯ = 80+52+40+52+70+1+67 / 7
- ⇒x¯ = 43
- The mean of the given data is 43.
- ii) To find out the median let us first arrange the given data in ascending order
| Name | Nikita | Aryan | Anastasia | Aladdin | Anushka | Katrina | Alexander |
|---|---|---|---|---|---|---|---|
| Runs | 1 | 6 | 40 | 52 | 52 | 70 | 80 |
- As the number of items in the data is odd. Hence, the median is (n+1/2)th observation.
⇒ Median = (7+1/2)th observation = 52
- iii) Mode is the most frequent data which is 52.
- iv) Range
- In statistics, the range is the difference between the highest and lowest data value in the set. The formula is:
Range – Highest value – Lowest value
