# Probability and Stats

**Question description**

Attached is a Progress sheet I need completed by 10pm Eastern time. In 5 hours

## Tutor Answer

Here is my answer :)

MAT 165

CHAPTER 3

FORM A

1. A random sample of 18 carry-on luggage bags gave the following weights (rounded to the

nearest pound).

12 25 10 38 12 19 8 12 17

41 7 22 10 19 12 16 5 14

Find the mean, median, and mode of these weights.

Mean (𝑥̅ ):

𝑥̅ =

∑ 𝑥𝑖

𝑛

𝑥̅

=

12 + 25 + 10 + 38 + 12 + 19 + 8 + 12 + 17 + 41 + 7 + 22 + 10 + 19 + 12 + 16 + 5 + 14

18

299

𝑥̅ =

18

𝑥̅ = 16.61

Median:

5

7

8

10

10

12

12

12

12

14

16

17

19

19

22

25

38

41

12 + 14

= 13

2

𝑀𝑒𝑑𝑖𝑎𝑛 = 13

𝑀𝑒𝑑𝑖𝑎𝑛 =

Mode:

5

7

8

10

10

12

12

12

12

14

16

17

19

19

22

25

38

41

𝑀𝑜𝑑𝑒 = 12

2. A random sample of seven northern pike from Taltson Lake (Canada) gave the following

lengths rounded to the nearest inch

21

27

46

35

41

36

25

(a) Find the range

21

25

27

35

36

41

46

MIN= 21

MAX= 46

Range= MAX-MIN= 46-21= 25

Range= 25

(b) Find the sample mean

∑ 𝑥𝑖

𝑛

21 + 27 + 46 + 35 + 41 + 36 + 25

𝑥̅ =

7

231

𝑥̅ =

7

𝑥̅ = 33

𝑥̅ =

(c) Find the sample variance

∑(𝑥𝑖 − 𝑥̅ )2

𝑆2 = √

𝑛−1

(21 − 33)2 + (27 − 33)2 +...

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