Question

What is the mode of this data? 1.7 8.9 3 5.9 3.2 4.1 6.6 0.7

Answer 1

Answer:

The value of Mode is 2.43

Step-by-step explanation:

• To find the mode of the given data first we have to arrange it in a increasing order then find out mean and median of the given data
• 0.7,1.7,3,3.2,4.1,5.9,6.6,8.9 is in increasing order
• For finding the median we need to take the average of 4th and 5th terms because we have the no of terms in the sequence is even not odd so we need to take the average the 4th term=3.2 and the 5th term =4.1
• so average =(3.2+4.1)/2=3.65
• so the median is equal to 3.65
• For mean we have to take the average of the data
• so mean= sum of all data /no of data
• mean =(0.7+1.7+3+3.2+4.1+5.9+6.6+8.9)/8=4.26
• so by using the formula we can get mode
• Mode=3×Median-2×Mean
• Mode=3×3.65-2×4.26=2.43
• ∴The value of Mode is given as 2.43