Question

In: Statistics and Probability

Generals Warriors Student WAIS-IV Score Student WAIS-IV Score 1 105 1 93 2 81 2 90...

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

X)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?

Solutions

Expert Solution

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

X)2 = Square of Sum of all observations

S2X = Population Variance

SX = Population Standard Deviation

s2X = Sample Variance

sX = Sample Standard Deviation​​​​​​​


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