(a) Tocalculatethemean of the given frequency distribution. Data Item Frequency 11 5 12 5 13 3 14 1 16 3 17 1

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Answer 1

Question

Chapter 8, Problem 9R

To determine

(a)

Tocalculatethemean of the given frequency distribution.

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

To determine

(b)

Tocalculatethemedian of the given frequency distribution

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

To determine

(c)

Tocalculatethemode of the given data

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

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The University of the West Indies Open Campus ECON2016 Mathematical Methods of Economics II Final Assessment Instructions: Answer ALL the questions. Show all working 1. Solve the following Differential Equations a) dy = x²-1; y(-1) = 1 dx y²+1 dy b) d x + 2y = 3; dx c) dy-4y = 4y² dt d) 6dzy dx² dy -5+ y = 0; y(0) = 4 y'(0) = 0 dx [6] [5] [5] [6]

Questions An insurance company's cumulative incurred claims for the last 5 accident years are given in the following table: Development Year Accident Year 0 2018 1 2 3 4 245 267 274 289 292 2019 255 276 288 294 2020 265 283 292 2021 263 278 2022 271 It can be assumed that claims are fully run off after 4 years. The premiums received for each year are: Accident Year Premium 2018 306 2019 312 2020 318 2021 326 2022 330 You do not need to make any allowance for inflation. 1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method. (b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method. 2. Comment on the differences in the reserves produced by the methods in Part 1.

Answer questions 8.1.13 and 8.2.10 respectively

Answer 2

Question

Chapter 8, Problem 9R

To determine

(a)

Tocalculatethemean of the given frequency distribution.

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

To determine

(b)

Tocalculatethemedian of the given frequency distribution

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

To determine

(c)

Tocalculatethemode of the given data

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 8, Problem 9R

To determine

(a)

Tocalculatethemean of the given frequency distribution.

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

To determine

(b)

Tocalculatethemedian of the given frequency distribution

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

To determine

(c)

Tocalculatethemode of the given data

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 8, Problem 9R

To determine

(a)

Tocalculatethemean of the given frequency distribution.

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

To determine

(b)

Tocalculatethemedian of the given frequency distribution

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

To determine

(c)

Tocalculatethemode of the given data

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 8, Problem 9R

To determine

(a)

Tocalculatethemean of the given frequency distribution.

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

To determine

(b)

Tocalculatethemedian of the given frequency distribution

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

To determine

(c)

Tocalculatethemode of the given data

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

Answer 6

Chapter 8, Problem 9R

To determine

(a)

Tocalculatethemean of the given frequency distribution.

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

Answer 7

Chapter 8, Problem 9R

To determine

(a)

Tocalculatethemean of the given frequency distribution.

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

Answer 8

To determine

(b)

Tocalculatethemedian of the given frequency distribution

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

Answer 9

To determine

(b)

Tocalculatethemedian of the given frequency distribution

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

Answer 10

To determine

(c)

Tocalculatethemode of the given data

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

Answer 11

To determine

(c)

Tocalculatethemode of the given data

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 8.1 - Prob. 1ES Ch. 8.1 - Prob. 2ES Ch. 8.1 - For each set of numbers, find the mean, median,...Ch. 8.1 - Prob. 4ES Ch. 8.1 - Prob. 5ES Ch. 8.1 - Prob. 6ES Ch. 8.1 - Prob. 7ES Ch. 8.1 - For each set of numbers, find the mean, median,...Ch. 8.1 - Prob. 9ES Ch. 8.1 - Prob. 10ES

(a) Tocalculatethemean of the given frequency distribution. Data Item Frequency 11 5 12 5 13 3 14 1 16 3 17 1

Solution Summary: The author explains how to calculate themean of the given frequency distribution by multiplying the values of xi, fi, and cf.

Concept explainers

Videos

(a)

Tocalculatethemean of the given frequency distribution.

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

(b)

Tocalculatethemedian of the given frequency distribution

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

(c)

Tocalculatethemode of the given data

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

Want to see the full answer?

Chapter 8 Solutions

Data Item	Frequency
11	5
12	5
13	3
14	1
16	3
17	1

Data Item	Frequency
11	5
12	5
13	3
14	1
16	3
17	1

Data Item	Frequency
11	5
12	5
13	3
14	1
16	3
17	1

(a) Tocalculatethemean of the given frequency distribution. Data Item Frequency 11 5 12 5 13 3 14 1 16 3 17 1

Solution Summary: The author explains how to calculate themean of the given frequency distribution by multiplying the values of xi, fi, and cf.

Concept explainers

Videos

(a) Tocalculatethemean of the given frequency distribution. Data Item Frequency115125133141163171

(b) Tocalculatethemedian of the given frequency distribution Data Item Frequency115125133141163171

(c) Tocalculatethemode of the given data Data Item Frequency115125133141163171

Want to see the full answer?

Chapter 8 Solutions

(a)

Tocalculatethemean of the given frequency distribution.

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

(b)

Tocalculatethemedian of the given frequency distribution

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1

(c)

Tocalculatethemode of the given data

Data Item Frequency
11 5
12 5
13 3
14 1
16 3
17 1