Joe Joe - 6 months ago 21
Python Question

Python Calculate Student Statistics

I am trying to calculate student statistics using Python. Everything seems to be working fine except for the standard deviation part at the end. I thought I Interpreted the formula right but clearly it's not. I keep getting 6.63 instead of the actual 7.48. Help will be highly appreciated. UPDATE: I did the math. Turns out the summation should actually be 279 while my code generates Summation= 220. Maybe that'll help some of you, including me, to try and find the issue.

nums=[]
total= 0
count= 0

x = int(input("Enter a number (enter -1 to terminate): "))
while x >= 0:
if x <= 100:
total = total + x
count+=1
nums.append(x)
if x>100:
print("Invalid entry.")
x = int(input("Enter a number (enter -1 to terminate): "))


print(nums)
print("Number of scores: ", count)

idx=0
while idx < count:
newIndex = idx+1
maximum = nums[idx]
while newIndex < count:
if(nums[newIndex] < maximum):
maximum = nums[newIndex]
newIndex+=1

if maximum < nums[idx]:
temp = nums[idx]
nums[idx] = maximum
nums[newIndex-1] = temp
idx+=1
print("Maximum score: ", maximum)

idx= 0
while idx< count:
newIndex= idx+1
minimum= nums[idx]
while newIndex < count:
if (nums[newIndex]> minimum):
minimum= nums[newIndex]
newIndex+=1
if minimum> nums[idx]:
temp= nums[idx]
nums[idx]= minimum
nums[newIndex-1]= temp
idx+=1
print("Minimum score: ", minimum)
average=total/count
print ("Average score: ", average)

summation=0
idx=0
while idx< count:
value= nums[idx]
if idx<count:
summation += ((value-average)**2)
idx+=1
print("Standard Deviation: ", int(summation/count)**0.5)

Answer

You have a mistake in

    if(nums[newIndex] < maximum):
        maximum = nums[newIndex]

the comparison should be > not <.

Edit: the block

if maximum < nums[idx]:
    temp = nums[idx]
    nums[idx] = maximum
    nums[newIndex-1] = temp

pooches your nums... if you set nums = [50, 40, 30, 20, 10] and run through the first while idx < count: loop, you get back nums = [10, 20, 20, 20, 30]. Finding maximum should not change the underlying data! (And why do you have a loop in a loop to find maximum? It should only take one pass!)

In fact, you can find maximum and minimum in a single pass, like so:

maximum = minimum = nums[0]  # initialize to the first value
idx = 1                      # start comparisons against the second value
while idx < count:
    if maximum < nums[idx]:
        maximum = nums[idx]
    if minimum > nums[idx]:
        minimum = nums[idx]
    idx += 1
print("Maximum score: ", maximum)
print("Minimum score: ", minimum)
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