ID Gender Age Motivation Highest Level Of Education Tasks Completed 1 Female 23
ID: 3176066 • Letter: I
Question
ID
Gender
Age
Motivation
Highest Level
Of Education
Tasks
Completed
1
Female
23
Individual
High School
11
2
Female
25
Individual
College
17
3
Female
29
Individual
Graduate
14
4
Female
30
Group
High School
10
5
Female
25
Individual
High School
10
6
Female
21
Group
College
15
7
Male
22
Group
High School
14
8
Male
19
Group
High School
8
9
Male
32
Group
Graduate
9
10
Male
46
Individual
High School
11
11
Male
50
Individual
High School
15
12
Male
21
Individual
College
10
13
Female
23
Group
College
14
14
Female
27
Individual
Graduate
8
15
Female
24
Group
College
6
16
Female
22
Individual
College
12
17
Female
25
Individual
High School
15
18
Female
26
Group
College
13
19
Male
33
Individual
Graduate
12
20
Male
24
Group
College
7
21
Male
22
Group
College
11
22
Male
28
Group
Graduate
13
23
Female
31
Individual
High School
9
24
Female
30
Individual
High School
16
25
Female
28
Group
High School
4
26
Female
26
Individual
High School
17
27
Female
18
Group
High School
10
28
Male
18
Individual
High School
12
29
Female
20
Group
High School
13
30
Male
20
Group
High School
9
Using a frequency table, what percentage of the sample was above average age?
ID
Gender
Age
Motivation
Highest Level
Of Education
Tasks
Completed
1
Female
23
Individual
High School
11
2
Female
25
Individual
College
17
3
Female
29
Individual
Graduate
14
4
Female
30
Group
High School
10
5
Female
25
Individual
High School
10
6
Female
21
Group
College
15
7
Male
22
Group
High School
14
8
Male
19
Group
High School
8
9
Male
32
Group
Graduate
9
10
Male
46
Individual
High School
11
11
Male
50
Individual
High School
15
12
Male
21
Individual
College
10
13
Female
23
Group
College
14
14
Female
27
Individual
Graduate
8
15
Female
24
Group
College
6
16
Female
22
Individual
College
12
17
Female
25
Individual
High School
15
18
Female
26
Group
College
13
19
Male
33
Individual
Graduate
12
20
Male
24
Group
College
7
21
Male
22
Group
College
11
22
Male
28
Group
Graduate
13
23
Female
31
Individual
High School
9
24
Female
30
Individual
High School
16
25
Female
28
Group
High School
4
26
Female
26
Individual
High School
17
27
Female
18
Group
High School
10
28
Male
18
Individual
High School
12
29
Female
20
Group
High School
13
30
Male
20
Group
High School
9
Explanation / Answer
The given data,
Age
23
25
29
30
25
21
22
19
32
46
50
21
23
27
24
22
25
26
33
24
22
28
31
30
28
26
18
18
20
20
Average = Total / no. of samples = 788/30 = 26.27 ~ 26
So here we need to find P ( x > 26 ) from the frequency table.
From the given table we get the frequency table as below:
x
f
18
2
19
1
20
2
21
2
22
3
23
2
24
2
25
3
26
2
27
1
28
2
29
1
30
2
31
1
32
1
33
1
46
1
50
1
f = frequency
rf = relative frequency
x
f
rf
18
2
0.067
19
1
0.033
20
2
0.067
21
2
0.067
22
3
0.100
23
2
0.067
24
2
0.067
25
3
0.100
26
2
0.067
27
1
0.033
28
2
0.067
29
1
0.033
30
1
0.033
31
1
0.033
32
1
0.033
33
1
0.033
46
1
0.033
50
1
0.033
Now we add for x > 26
27
1
0.033
28
2
0.067
29
1
0.033
30
1
0.033
31
1
0.033
32
1
0.033
33
1
0.033
46
1
0.033
50
1
0.033
Total = 0.333
Answer is 33.3%
Age
23
25
29
30
25
21
22
19
32
46
50
21
23
27
24
22
25
26
33
24
22
28
31
30
28
26
18
18
20
20