Question
Download Solution PDFFor the data given below, Find the LCM of Mode, Mean and Median.
7, 2, 10, 4, 3, 12, 8, 4, 6, 4Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
7, 2, 10, 4, 3, 12, 8, 4, 6, 4
Formula used:
Mode - The mode is the value that appears most frequently in a data set.
Mean = sum of data/number of data
Median = When data set is even = {(n/2)th + (n/2 + 1)th}/2
Calculation:
7, 2, 10, 4, 3, 12, 8, 4, 6, 4
Firstly data arrange in ascending order
⇒ 2, 3, 4, 4, 4, 6, 7, 8, 10, 12
The mode is the value that appears most frequently in a data set.
⇒ Mode = 4
Mean = sum of data/number of data
⇒ (2 + 3 + 4 + 4 + 4 + 6 + 7 + 8 + 10 + 12)/10
⇒ 60/10
⇒ 6
Median = When data set is even = {(n/2)th + (n/2 + 1)th}/2
⇒ {(10/2)th + (10/2 + 1)th}/2
⇒ (5th + 6th)/2
here 5th term is 4 and 6th term is 6
⇒ (4 + 6) /2
⇒ 10/2
⇒ 5
LCM of Median, Mean and Mode
⇒ LCM of 5, 6, 4
⇒ 3 × 4 × 5
⇒ 60
∴ The LCM of Median, Mean and Mode is 60.
Confusion PointsHere the value of 5th term and 6th term is divided by 2 during Median calculation.
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