A group of five friends are long-distance runners who will be running in an upcoming marathon. To prepare for the marathon, each of the friends recorded the number of miles they ran each week for 12 weeks. The results of the friends' training are shown in the data set provided below. Which of the friends was the most consistent with the number of miles run each week during the training? Hint: You should not need to compute the standard deviation for each friend.AshtonCalebJordanKyleNoah243522151334363926292534262418313541253119373827153335372419273440252729362726323635213215163342241718363321282635352721

Question
Asked Oct 6, 2019

A group of five friends are long-distance runners who will be running in an upcoming marathon. To prepare for the marathon, each of the friends recorded the number of miles they ran each week for 12 weeks. The results of the friends' training are shown in the data set provided below. Which of the friends was the most consistent with the number of miles run each week during the training? Hint: You should not need to compute the standard deviation for each friend.

Ashton

Caleb

Jordan

Kyle

Noah

24

35

22

15

13

34

36

39

26

29

25

34

26

24

18

31

35

41

25

31

19

37

38

27

15

33

35

37

24

19

27

34

40

25

27

29

36

27

26

32

36

35

21

32

15

16

33

42

24

17

18

36

33

21

28

26

35

35

27

21

 
check_circleExpert Solution
Step 1

Given the data of number of miles run per week of 5 runners as shown below 
The runners with low standard deviation will be considered as consistent runners as the deviation from mean miles run per week is less compared to others.

Noah
Ashton
Caleb
Jordan
Kyle
24
35
22
15
13
34
36
39
26
29
25
34
26
24
1s
31
35
41
25
31
19
37
38
27
15
33
35
37
24
19
27
34
40
25
27
29
36
27
26
32
36
35
21
32
15
16
33
42
24
17
18
36
33
21
28
26
35
35
27
21
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Image Transcriptionclose

Noah Ashton Caleb Jordan Kyle 24 35 22 15 13 34 36 39 26 29 25 34 26 24 1s 31 35 41 25 31 19 37 38 27 15 33 35 37 24 19 27 34 40 25 27 29 36 27 26 32 36 35 21 32 15 16 33 42 24 17 18 36 33 21 28 26 35 35 27 21

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Step 2

The mean of all runners is cal...

ΣΧ
Мет
For Ashton
24+34 18+26 318
26.5
12
Mean
12
For Caleb
35+36.+36+35
421
-35.083
12
Мест -
12
For Jordan
22 39++33+35
401
= 33.4167
12
Мет
12
For Kyle
Mean 26 +..+ 21+27
12
296
= 24.667
12
For Noah
13 29 28+21
26522,0833
Meam
12
12
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ΣΧ Мет For Ashton 24+34 18+26 318 26.5 12 Mean 12 For Caleb 35+36.+36+35 421 -35.083 12 Мест - 12 For Jordan 22 39++33+35 401 = 33.4167 12 Мет 12 For Kyle Mean 26 +..+ 21+27 12 296 = 24.667 12 For Noah 13 29 28+21 26522,0833 Meam 12 12

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