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-BARSIC- [3]
3 years ago
15

The sum of the deviations of each data value from this measure of central location will always be zero. A. Median B. Standard de

viation C. Mean D. Mode
Computers and Technology
2 answers:
JulijaS [17]3 years ago
8 0

Answer:

C. Mean

Explanation:

Mean = (∑x_{i})/N

Median = central values when data is sorted

Mode = most repeated value

Standard deviation = \sqrt{sum(x_{i}-mean)^{2}/N}

In standard deviation, formula you may see that deviation is being calculated from the mean (central location). But here we take square of the value before adding all of them.

But if we just take sum(x - mean), it would be equal to zero.

<u>EXAMPLE</u>

Take 4, 9, 5 as data

mean = (4+9+5)/3 = 18/3 = 6

sum of deviations from mean = (4-6)+(9-6)+(5-6) = (-2)+(3)+(-1) = 0

almond37 [142]3 years ago
6 0

Answer:

(C). Mean

Explanation:

Given a set of number data;

(A) The median is the number in that data that appears midway when the number data is sorted in ascending or descending order. And sum of the deviations from the median (if it even exists), will not always give zero.

(B) The standard deviation of the set of number data is found by taking the square root of the average of the square of the mean deviation of each number in the set.

(C) The mean of the set is the average of the set of numbers. The sum of the deviations of each number from the mean will always give zero. For example, given the following set of numbers: 3, 6, 2, 4, 10;

i. the mean of the set is (3 + 6 + 2 + 4 + 10) / 5 = 5

ii. the deviation of each element of the set from the mean is;

3 => 3 - 5 = -2

6 => 6 - 5 = 1

2 => 2 - 5 = -3

4 => 4 - 5 = -1

10 => 10 - 5 = 5

The sum of these deviations will give zero(0) i.e

-2 + 1 + -3 + -1 + 5 = 0

(D) The mode of the set is the number that has the highest frequency i.e the number that appears most. The sum of deviations from mode will not always give zero (0)

Therefore, the correct answer is C.

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Misha Larkins [42]

Answer:

Following are the code to this question:

list_val = input()#defining a integer variable for input value

test_grades = list(map(int, list_val.split()))#defining test_grades as a list

sum_extra = -999 #defining sum_extra that holds negative integer value

sum_extra = 0#defining sum_extra that holds value

for y in range(len(test_grades)):#defining a for loop to check range of list  

   if(test_grades[y] > 100):# defining if block that check list value is greater then 100

       sum_extra = sum_extra + (test_grades[y] - 100)#use sum_extra variable to hold extra value and add this value

print('Sum extra:', sum_extra)#print value

Output:

101 83 107 90

Sum extra: 8

Explanation:

In the above code a, "list_val" variable is declared, that uses an input method to input the values and declared a "test_grades" variable that uses a list method to add all values in the list.

In the next step, the "sum_extra" variable is declared, which holds some values and defines a for loop to check the range of the "test_grades", and define a if block, that checks list value is greater than 100. If the condition is true, it will remove the extra value, and add it into the sum_extera variable and add its value, and at the last use, print variable to print its value.

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