Probability and Stats

Oct 5th, 2017
Anonymous
Category:
Mathematics
Price: $25 USD

Question description

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

Tutor Answer

(Top Tutor) jesusale932
School: University of Virginia
PREMIUM TUTOR

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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