Statistics White Black N Valid 11 11 Missing 0 0 Mean 38.55 61.18 Median 37.00 6
ID: 3181358 • Letter: S
Question
Statistics
White
Black
N
Valid
11
11
Missing
0
0
Mean
38.55
61.18
Median
37.00
62.00
Mode
35
62
Std. Deviation
4.367
4.446
a. Across the 11 years depicted in the data, you can expect that approximately 68% of the percentage of White homicide victims will be between what two numbers? (4) b. Across the 11 years depicted in the data, you can expect that approximately 95% of the percentage of Black homicide victims will be between what two numbers? (4) c. Across the 11 years depicted in the data, you can expect that approximately 99.7% of the percentage of White homicide victims will be between what two numbers? (4)
Statistics
White
Black
N
Valid
11
11
Missing
0
0
Mean
38.55
61.18
Median
37.00
62.00
Mode
35
62
Std. Deviation
4.367
4.446
Explanation / Answer
if we assume it is a normal distribution then we can apply 68 95% 99.7% rule within 1 sd 2 sd and 3 sd correspondingly.
By that method
a) 68% of the white homicide victims will be between (38.55-4.367) and (38.55+4.367) i.e. 34.183 and 42.917
b) 95% of the black homicide victims will be between 52.288 and 70.072
c) 99.7% of the white homicide victims will be between 47.842 and 74.518
But as such the white homicides where mode < median < mean is right skewed. Meaning - there are more values on the left (mode < mean)
and the black homicides where mode = Median > mean is right skewed as more value are on the right side.