find the median of the observations given below 16 ,12,8,10,19,22,13,20
Answers
ANSWER:
(i) Data: Information in the form of numerical figures is known as data.
(ii) Raw data: Data that is obtained in the original form is known as raw data.
(iii) Array: When the raw data is obtained in ascending or descending order of magnitude, it is known as array.
(iv) Tabulation of data: Arranging the data in a systematic way in the form of a table is known as the tabulation of the data.
(v) Observations: Each numerical figure in a data is known as an observation.
(vi) Frequency of an observation: Number of times an observation occurs in the data is known as the frequency of an observation.
(vii) Statistics: The subject that deals with the collection, presentation, analysis and interpretation of the numerical data is known as statistics.
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Question 2:
A die was thrown 20 times and the following outcomes were recorded:
5, 2, 1, 3, 4, 4, 5, 6, 2, 2, 4, 5, 5, 6, 2, 2,4, 5, 5, 1.
Arrange the above data in ascending order and prepare the frequency table.
ANSWER:
Data in the ascending order:
1, 1, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6

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Question 3:
The daily wages (in Rs) of 15 workers in a factory are given below.
200, 180, 150, 150, 130, 180, 180, 200, 150, 130, 180, 180, 200, 150, 180.
Arrange the above data in ascending order and prepare the frequency table.
ANSWER:
Daily wages in the ascending order:
130, 130, 150, 150, 150, 150, 180, 180, 180, 180, 180, 180, 200, 200, 200
Frequency table:

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Question 4:
Write the data given below in ascending order and prepare the frequency table.
7, 8, 7, 10, 6, 8, 9, 7, 10, 5, 7, 6, 8, 5, 6, 7, 8, 9, 7, 6, 7, 8.
Step-by-step explanation:
It has 2 formulas
1 is for even observations and 1 is for odd observations
so the no. of observations are 8 ( even )
formula =( n/2+1 ) th observation
( 8+2/1 ) th
= ( 10/2 ) th observation
= ( 5 ) th observation
19 is the ans