following is the data regarding the number of meteors observed in 30 different days to an observatory:7,4,2,5,9,7,4,3,8,6,9,10,3,3,5,9,5,7,6,3,8,4,3,7,9,8,10,6,8,7.tabulate above observation
Answers
Data are collected on the basis of requirement or the needed information. Data are mainly of two types – primary and secondary data.
Primary Data: The data collected directly from the source is primary data. Suppose when you need to collect data for the favourite game of your classmates. You ask them directly. This is the primary data.
Secondary Data: The collection of data indirectly or from some external source is the secondary data. These sources can be newspapers, magazines, television, internet etc. Suppose if you have to collect the data on the number of branches of your favourite restaurant in different cities. You may collect the data from newspapers or the internet. Such data is the secondary data.
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Tally Marks
Organization of the Data
Now that you have your data, what can be done with them? These data are raw data. We have to organise it in some meaningful way to take out the information. Consider the example of a collection of data of your favourite sport. From this raw data, you can count the number of the people who like a particular sport.
Tally Marks
Tally marks are the representation of the data in the form of vertical lines. We put one vertical line (|) for each of the four counts. A diagonal line (\) is put for the fifth count. These marks are tally marks.
Tally marks for Number 4 is ||||
Number 5 is represented as Frequency Distribution
The representation of 6 as Frequency Distribution and so on.
Frequency Distribution
The representation of the various observations and tally marks in a form of table is the frequency distribution. The frequency is the number of the times an observation occurs. It is the number of repetitions. Consider in a class of 30 students, 5 like badminton. 10 students like cricket, 3 like tennis, 4 like football, 7 like volleyball and 1 likes hockey.
Representation of this data:
Tally
This table is the frequency distribution table or the frequency table. Each item of this table, badminton, cricket etc. is an observation. The number of the students is the frequency.
Solved Example for You
Question 1: For the given table, fill the blanks.
Frequency Tally Marks
9 __
__ |||
7 __
__ ||||
16 __
__ |
__ |||
5 __
__ ||
11 __
Answer : The complete table is
Frequency Distribution
Question 2: Below is the marks of 35 students in English test (out of 10). Arrange these marks in tabular form using tally marks. 5, 8, 7, 6, 10, 8, 2, 4, 6, 3, 7, 5, 8, 5, 1, 7, 4, 6, 3, 5, 2, 8, 4, 2, 6, 4, 2, 8, 9, 5, 4, 7, 5, 5, 8.
How many students scored more than 7 marks?
What is the mark scored by the maximum students? What is the number of the students?
How many students scored less than and equal to 5?
Answer : The frequency table is
Tally
The number of students with more than 7 marks = 6 + 1 + 1 = 8.
The maximum students scored 5 marks. The number of students is 7.
The number of students with less than and equal to 5 marks = 19.
Question 3: How do tally marks look like?
Answer: The tally marks are simple straight lines. These are useful for keeping track of something. Just like the scores of different players in a sport or results from some survey or research. The use of the tally marks is an easy and great way to present the information.
Question 4: What is the tally chart and tally marks when it comes to statistics?
Answer: A tally chart is said to be a simple method used for the collection of data with the tally marks. The tally marks are basically the frequencies, occurrences, or the sum numbers we measure for a particular category in a set of data.
Question 5: Why are the tally marks essential?
Answer: The tally marks are important as we mainly use them to keep the record of a running or continuous count. These marks are so useful for recording and maintaining the scores in a game or a sport.
Question 6: What is the tally frequency table?
Answer: A tally frequency table is generally known as a tally chart. It is a method of collecting the data with the tally marks.