Christine is currently taking a college astronomy class and the instructor often gives quizzes. on the past seven quizzes, christine got the scores shown below. find the standard deviation, rounding to one more decimal place than is present in the original data. 50 15 31 27 11 42 71

The answer is 20.9 when rounded it is 21

19.4

Step-by-step explanation:

Given data,

50,    15,       31,        27,         11,        42,        71,

Let x represents the score,

Here, the number of scores, n = 7,

Thus, the mean score is,

Hence, the standard deviation of the given data is,

two data sets with the same median will not have the same varaibility

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.