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If the mean of the given data 16, 24, x, 34, 35, 25, 37, 42, 47, is 32. What is the value of x?
- a)26
- b)27
- c)28
- d)29
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the mean of the given data 16, 24, x, 34, 35, 25, 37, 42, 47, is 32...
= 32
⇒ 260 + x = 288 ⇒ x = 288 – 260 = 28
Most Upvoted Answer
If the mean of the given data 16, 24, x, 34, 35, 25, 37, 42, 47, is 32...
Calculation of the missing value:
To find the missing value x in the given data, we can use the formula for calculating the mean of a set of numbers:
Mean = (Sum of all numbers) / (Total number of numbers)
Given data: 16, 24, x, 34, 35, 25, 37, 42, 47
Mean = 32
Step 1:
Calculate the sum of all the given numbers:
Sum = 16 + 24 + x + 34 + 35 + 25 + 37 + 42 + 47
Step 2:
Substitute the sum back into the formula for the mean:
32 = (Sum) / 9
Step 3:
Solve for the sum:
Sum = 32 * 9
Sum = 288
Step 4:
Substitute the sum back into the equation to find the missing value x:
288 = 16 + 24 + x + 34 + 35 + 25 + 37 + 42 + 47
Step 5:
Solve for x:
x = 288 - (16 + 24 + 34 + 35 + 25 + 37 + 42 + 47)
x = 288 - 260
x = 28
Therefore, the value of x in the given data set is 28. Hence, the correct answer is option 'C'.
To find the missing value x in the given data, we can use the formula for calculating the mean of a set of numbers:
Mean = (Sum of all numbers) / (Total number of numbers)
Given data: 16, 24, x, 34, 35, 25, 37, 42, 47
Mean = 32
Step 1:
Calculate the sum of all the given numbers:
Sum = 16 + 24 + x + 34 + 35 + 25 + 37 + 42 + 47
Step 2:
Substitute the sum back into the formula for the mean:
32 = (Sum) / 9
Step 3:
Solve for the sum:
Sum = 32 * 9
Sum = 288
Step 4:
Substitute the sum back into the equation to find the missing value x:
288 = 16 + 24 + x + 34 + 35 + 25 + 37 + 42 + 47
Step 5:
Solve for x:
x = 288 - (16 + 24 + 34 + 35 + 25 + 37 + 42 + 47)
x = 288 - 260
x = 28
Therefore, the value of x in the given data set is 28. Hence, the correct answer is option 'C'.
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If the mean of the given data 16, 24, x, 34, 35, 25, 37, 42, 47, is 32. What is the value of x?a)26b)27c)28d)29Correct answer is option 'C'. Can you explain this answer?
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