Summary statistics helps us summarize statistical information. Let's consider an example to understand this better. A school conducted a blood donation camp. The blood groups of 30 students were recorded as follows.
A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O,
A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O.
We can represent this data in a tabular form.
This table is known as a frequency distribution table.
You can observe that all the collected data is organized under two columns.
This makes it easy for us to understand the given information.
Thus, summary statistics condenses the data to a simpler form so that it is easy for us to observe its features at a glance.
What Is a Summary Statistics Table?
Here are a few summary statistics about a certain country:
How Do you Explain Summary Statistics?
How Do you Analyze Summary Statistics?
Important Notes
Measures of Location
Measures of Spread
Graphs / charts
Some of the graphs and charts frequently used in the statistical representation of the data are given below.
Solved Examples on Summary Statistics
Example 1: The mean monthly salary of 10 workers of a group is $1445 One more worker whose monthly salary is $1500 has joined the group. Find the mean monthly salary of 11 workers of the group.
Here, n = 10 ,
Using the formula,
10 workers salary = $ 14450
11 workers salary = 14450 + 1500
= $ 15950
Average salary = 15950/11
= 1450
∴ Average salary of 11 workers
= $ 1450
Example 2: The pie chart shows the favorite subjects of students in a class.
Using the information given in the pie chart, determine the percentage of students who chose English.
We know that 144^{∘} + 36^{∘} + 72^{∘} + 108^{∘} = 360^{∘}
The percentage of students who chose English
= 72/360 × 100
= 20
∴ The percentage of students who chose English = 20
Example 3: On World Environment Day, 100 schools decided to plant 100 tree saplings in their gardens.
The following data shows the number of plants that survived in each school after one month.
Using this data, can you find the number of schools that were able to retain 50% of the plants or more?
 We need to represent this large amount of data in such a way that a reader can understand it easily.
 To include all the observations in groups, we will create various groups of equal intervals.
 These intervals are called class intervals.
From this table, it is clear that 50% or more plants survived in (8 + 18 + 10 + 23 + 12) schools.
∴ 71 schools were able to retain 50% or more plants in their garden.
406 videos217 docs164 tests


Explore Courses for Class 10 exam
