The following data show the scores gina obtained on 12 iq tests:
93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86
the box plot below represents the data:
box plot has minimum value equal to 74, lower quartile equal to 83, median equal to 86.5, upper quartile equal to 89 and maximum value equal to 94
which of the following is shown incorrectly in the box plot?

the answer is:

upper quartile equal to 89.

we are given a set of values as:

93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86

on arranging this data in the increasing order or ascending order we get:

74   74     83     83     83     86     87   90   92     93     93     94

the median of the data is the central tendency of the data and it lies in the middle of the data.

so, here median will lie between 86 and 87.

hence the median is:

hence, median is 86.5

the minimum value in the data is 74.

the maximum value of the data is 94.

the upper set of data is:

87   90   92     93     93     94

hence the upper quartile is the median of upper set of data.

so, here the median will lie between 92 and 93.

hence, the median is 92.5.

( since, )

so, the upper quartile is equal to 92.5.

hence, the given statement:

upper quartile equal to 89 is a false statement.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~