Question

An amateur meteorologist keeps a list of daily temperatures and wants a program to calculate how many times the maximum temperature occurred. For example, if the list of temperatures is [21, 24, 24, 23, 20, 19, 21, 24], the maximum of 24 occurs 3 times.

• a.Consider the problem of calculating how many times the maximum temperature occurs.

  • i.What are the admissible inputs of the problem?
  • ii.What is the output of this problem?

• b.Write three tests for this problem. The inputs should be different from the example given in the scenario description above. At least one of your tests must be a borderline case. Present the tests in a table, with a column for each input and output, and an extra column with a brief explanation of why you selected each test, as is done for example in Block 2 Part 2 Activity 2.10.

• c.Decompose the problem into sub-problems. Use the > notation and state in brackets the type of the problem and of each sub-problem, following the example in Block 2 Part 2 Activity 2.44.

• Choose the patterns for the subproblem types you identified, instantiate the patterns into an algorithm, and translate the algorithm into code.'

Answer 1

Answer for Part (a)

In this problem, we are trying to find the occurrence of maximum temperature (which is 24 & occurs 3 times)

The inputs in the program is the array of temperature list i.e. [t₁, t₂, t₃.........., t_n] where the size of the array will be n.

Therefore, first admissible input will be n which is the number of temperatures user wants. And based on that, we can ask user to input t₁, t₂ t₃ upto t_n

The output will be the largest element of the array with its frequency of occurrence.

Inputs (2 inputs)	Number of temperatures , say n -> must be an integer (1 or more)
	[t1, t2, t3, t4.......tn] -> Positive Integers, Negative Integers, Floating point numbers (decimal numbers).
Outputs (2 outputs)	Max temp (Largest no. of array)
	No.of occurrences of largest no. in array

Answer for Part (b)

• Test cases

Inputs	Outputs	Brief Explanation
6 inputs -> [31.5 , 32.5 , 33.6, 34.8, 35.5 , 35.8]	35.8 (max temp) 1 (single occurrence)	This test case is to show that if the temperatures are in decimals
8 inputs -> [-1,-2,-8, -7, -6, -4, -1, -5]	-1 (max temp) 2 occurrences	This test case is to show that if all the temperature is in negative, then least negative is the maximum temperature
12 inputs -> [-1, -2, -3, 3, 2 , 0, -3, 2, 5, 4 , 5, 3]	5 (max temp) 2 occurrences	This test case contains positive as well as negative temperatures