Answer:
increase
Step-by-step explanation:
- Given data is: 71, 67, 67, 17, 69, 84, 21, 87
- Arranging in ascending order we find: 17, 21, 67, 67, 69, 71, 84, 87
- 4th term = 67, 5th term = 69
- -> median = Sum of 4th and 5th term/2 = (67 + 69)/2 = 132/2 = 66
- Now, when one of the 67 is replaced by 71, the new data set in ascending order will be: 17, 21, 67, 69, 71, 71, 84, 87
- Here, 4th term = 69, 5th term = 71
- New median = (69 + 71)/2 = 140/2 = 70
- -> new median > initial median
CONCLUSION: Median will increase if the number 71 replaced one of the 67's in the set.
Answer:
a. z-score = -1.2
b. The age 23 years old is -1.2 standard deviations below the mean
c. The age is not unusual
Step-by-step explanation:
a. Transformation to z-score
Mathematically;
z-score = (x - μ)/σ
where σ and μ are the standard deviation and the mean respectively.
From the question, x = 23, μ = 27.2 and σ = 3.5
Let’s put these into the equation;
z-score = (23-27.2)/3.5 = -1.2
b. Interpretation of result
The interpretation is that 23 years old is -1.2 standard deviations below the mean
c. Determination
The age is not unusual. This is because any z-value below -2 or above 2 is considered unusual
-1.2 is above -2 and thus it is not unusual
Answer:
Y=7x+9
Step-by-step explanation:
Y=mx + b
b= y-intercept
m=slope
Substitute:
Y=7x+9
Answer:
KCC off KCC off off egg LLC
So gross income is the total income that Deshawn receives, while net income is the income he has after deductions.
So to find the deductions, we simply subtract the gross from the net income:
368.20 - 289.03 = 79.17
Deshawn's deduction is $79.17, option C