find the average of first 17 multiple of 7
Answers
Answer:
The answer is 63.
Step-by-step explanation:
Average = Total of numbers/total no.of numbers
avg = 1071/17
Therefore, average of the first 17 multiples of 7 is 63.
Answer: The average of first 17 multiple of 7 is 63.
Step-by-step explanation:
The first 17 multiples of 7 are as follows:
7, 14, 21,.....119 (17 x7)
Average is sum of the given terms divided by number of terms so we have to find the sum of first 17 multiples of 7
∵Sum = n/2 [ 2a + (n-1) d ]
Here nth term = 17, a = first term i.e. 7, d= common difference between terms i.e. 7
Sum = 17/2 [ 2x7+ ( 17-1) 7]
Sum = 17/2 [ 14 + 16 x 7 ]
Sum = 17/2 [ 14 + 112 ]
∴Sum = 17/2 x 126 = 17 x 63
We have to find the average of first 17 multiples of 7 so we will divide the obtained sum with 17
Average = Sum of observations/ number of observations= 17 x 63 / 17
Average = 63
Hence, the average of first 17 multiple of 7 is 63.
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