In: Statistics and Probability
Generals |
Warriors | ||
Student |
WAIS-IV Score |
Student |
WAIS-IV Score |
1 |
105 |
1 |
93 |
2 |
81 |
2 |
90 |
3 |
102 |
3 |
87 |
4 |
90 |
4 |
109 |
5 |
95 |
5 |
106 |
6 |
110 |
6 |
104 |
7 |
90 |
7 |
109 |
8 |
100 |
8 |
104 |
9 |
80 |
9 |
115 |
10 |
90 |
10 |
112 |
11 |
84 |
11 |
112 |
12 |
81 |
12 |
100 |
13 |
90 |
13 |
97 |
14 |
107 |
14 |
90 |
15 |
101 |
15 |
104 |
16 |
90 |
16 |
107 |
17 |
101 |
A. Complete the group frequency table.
Score The Generals (f) The Warriors (f)
80-89
90-99
100-109
110-119
B. Next, find the following for each team:
Generals (f) Warriors (f)
Mean |
||
Median |
||
Mode |
||
N |
||
N-1 |
||
ΣX |
||
(ΣX)2 |
||
ΣX2 |
||
S2X |
||
SX |
||
s2X |
||
sX |
c. What is the shape of distribution for the Generals? For the Warriors?
d. What is the range of scores that encompasses approx 68% of the scores surrounding the mean for EACH team?
e. Which distribution has a larger spread of scores? Why?
Mean - It is determined by adding all the data points in a population and then dividing the total by the number of points.
Median - To find the median, we arrange the observations in order from smallest to largest value. If there is an odd number of observations, the median is the middle value. If there is an even number of observations, the median is the average of the two middle values.
Mode - The mode is found by collecting and organizing data in order to count the frequency of each result.
N - Total no of observations
ΣX = Sum of all observations
(ΣX)2 = Square of Sum of all observations
S2X = Population Variance
SX = Population Standard Deviation
s2X = Sample Variance
sX = Sample Standard Deviation