Dukes science quiz scores are 99,91,60,94,and 95 . Describe the effect of the outlier on the mean and median
2 answers:
Solution:
we are given that
Dukes science quiz scores are 99,91,60,94,and 95 .
we have been asked to describe the effect of the outlier on the mean and median.
Mean of the given data
Mean of the given data
Median of the given data after arranging in the ascending order 60,91,94,95,99 is 94.
The outlier is 60.
The outlier is decreasing the value of Mean by
The outlier is decreasing the value of Median by
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Answer:
1) ΔCBF ≅ ΔCDF by (SSS)
2) ΔBFA ≅ ΔDFE by (SAS)
3) ΔCBE ≅ ΔCDA by (HL)
Step-by-step explanation:
1) Since BC ≅ DC and DF ≅ BF where CF ≅ CF (reflective property) we have;
ΔCBF ≅ ΔCDF by Side Side Side (SSS) rule of congruency
2) Since DF ≅ BF and FA ≅ FE where ∠DFE = ∠BFA (alternate angles)
Therefore;
ΔBFA ≅ ΔDFE by Side Angle Side (SAS) rule of congruency
3) Since FA ≅ FE and DF ≅ BF then where EB = FE + BF and AD = FA + DF
Where:
EB and AD are the hypotenuse sides of ΔCBE and ΔCDA respectively
We have that;
EB = AD from FE + BF = FA + DF
Where we also have BC ≅ DC
Where:
BC and DC are the legs of ΔCBE and ΔCDA respectively
Then we have the following relation;
ΔCBE ≅ ΔCDA by Hypotenuse Leg (HL).
