Answer:
Z-score = 3.73
Yes, the maximum value (21) in this data set is a high outlier.
Step-by-step explanation:
I'll solve for what you haven't done yet, z-score and whether or not the maximum is an outlier.
Z-score tells us how many standard deviations a value is above or below the mean. The formula for z-score is
.
Substituting
, we get
.
To determine if a value is an outlier, we use IQR, or Interquartile Range. If a value is lower than
or higher than
, then we say it is an outlier.
With the value of 21, clearly we are only worried about it being a high outlier. Q1 is the median of the first half of the data and Q3 is the median of the second half. In this case, Q1 is 2 and Q3 is 6.5. IQR is equal to Q3-Q1, or 4.5 in this case.
Therefore, the higher limit for outliers is
. Any values above 13.25 are considered high outliers. Therefore, the maximum value of 21 is a high outlier.
Answer: (- 7 )
Step-by-step explanation:
<h2>
![(\frac{7}{8} )(-16) (-7) (-\frac{1}{14} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B7%7D%7B8%7D%20%29%28-16%29%20%28-7%29%20%28-%5Cfrac%7B1%7D%7B14%7D%20%29)
</h2><h2>
![(\frac{7}{8} )(-\frac{16}{1}) (-\frac{7}{1} ) (-\frac{1}{14} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B7%7D%7B8%7D%20%29%28-%5Cfrac%7B16%7D%7B1%7D%29%20%20%28-%5Cfrac%7B7%7D%7B1%7D%20%29%20%28-%5Cfrac%7B1%7D%7B14%7D%20%29)
</h2>
simplify numerators and denominators.
∴ we get (-7)
3x-10+42+58=180 because angles in a triangle add up to 180
X=30
Z is equal to 3x-10
So z=80
80+42= 122
180-122= 58 (angle C)
Y = 122 because angles on a straight line add up to 180