Question

Define Arrayed data.

Answer 1

Hint: By using the previous knowledge of multiplication and repeated addition, to develop an understanding of the array data. Multiplication tells us about how many times a quantity in data and how to skip count. As data is in raw form and computation, analysis and interpretation of data is difficult. So there is a need to arrange the raw data in a systematic order and arrayed data linked with it.

Complete step-by-step answer:
When the raw data is arranged in ascending order or descending order then it is known as arrayed data.
e.g. M represents the marks obtained by 20 students in a test of 100 marks as given below:
80, 85, 30, 50, 50, 70, 70, 20, 40, 90, 30, 40, 50, 65, 45, 70, 60, 20, 30, 50.
In arrayed form, M (raw data) can be written in ascending order as:
20, 20, 30, 30, 30, 40, 40, 40, 50, 50, 50, 50, 60, 65, 70, 70, 70, 80, 80, 95.

Marks obtained	No of students	Sum of marks
20	2	$20 \times 2 = 40$
30	3	$30 \times 3 = 90$
40	3	$40 \times 3 = 120$
50	4	$50 \times 4 = 200$
60	1	$60 \times 1 = 60$
65	1	$65 \times 1 = 65$
70	3	$70 \times 3 = 210$
80	2	$80 \times 2 = 160$
95	1	$95 \times 1 = 95$

The above table represents the array data in tabular form in which the first column represents the marks obtained by the students and in the second column it represents the number of students with respect to the marks obtained by them and in third column the sum of marks with respect to each mark and number of students obtained that marks.
Note: As arrayed data is used to collect the data of the same type in one variable, can be used for storing data when the order of the data does not matter. E.g. In a school we want to store data of all students in a particular class. In this some data types can be created in which all the relevant data of a particular student can be stored like name, marks, mean, average etc. So we can use an array to store this type of data but if the index is arbitrary for each student then arrays can’t be beneficial.