# Our toy dataset - test scores from a small class
scores = [72, 85, 90, 78, 92, 88, 75, 95, 82, 88, 91, 79, 86, 90, 83]

# Let's see what we're working with
print(f"Number of scores: {len(scores)}")
print(f"Scores: {scores}")

# TODO: Calculate the mean score
# Step 1: Get the sum of all scores
# Step 2: Divide by the number of scores
# Step 3: Print the result

mean_score = # YOUR CODE HERE
print(f"Mean score: {mean_score}")

# TODO: Calculate the median score
# Step 1: Sort the scores (hint: sorted() returns a new sorted list)
# Step 2: Find the middle position
# Step 3: Get the value at that position

sorted_scores = # YOUR CODE HERE
middle_index = # YOUR CODE HERE
median_score = # YOUR CODE HERE

print(f"Median score: {median_score}")

# TODO: Calculate quartiles
# First, make sure you have sorted scores from Practice 2!

n = len(sorted_scores)

# Q1 is at position n//4
q1_index = # YOUR CODE HERE
q1 = # YOUR CODE HERE

# Q2 is at position n//2 (this is the median!)
q2_index = # YOUR CODE HERE
q2 = # YOUR CODE HERE

# Q3 is at position 3*n//4
q3_index = # YOUR CODE HERE
q3 = # YOUR CODE HERE

print(f"Q1 (25th percentile): {q1}")
print(f"Q2 (50th percentile): {q2}")
print(f"Q3 (75th percentile): {q3}")

def get_percentile(data, percentile):
    """
    Find the value at a given percentile.
    percentile should be between 0 and 100.
    """
    sorted_data = sorted(data)

    # TODO: Calculate the index for this percentile
    # If percentile is 25, we want the value 25% through the sorted list
    # IMPORTANT: This calculation might give you a decimal like 3.75
    # But list indices must be whole numbers!
    position = # YOUR CODE HERE (this might be a float)
    index = # YOUR CODE HERE (convert to an integer)

    return sorted_data[index]

# Test it out
print(f"10th percentile: {get_percentile(scores, 10)}")
print(f"90th percentile: {get_percentile(scores, 90)}")
print(f"50th percentile: {get_percentile(scores, 50)}")  # Should match median!


def find_percentile_rank(data, value):
    """
    Find what percentile a value is at.
    Example: If 80% of scores are below 90, then 90 is at the 80th percentile.
    """
    sorted_data = sorted(data)

    # TODO: Count how many values are less than our target value
    count_below = 0
    for score in sorted_data:
        if score < value:
            # YOUR CODE HERE

    # TODO: Calculate the percentile
    # percentile = (count_below / total_count) * 100
    percentile = # YOUR CODE HERE

    return percentile

# Test it
print(f"A score of 85 is at the {find_percentile_rank(scores, 85):.1f} percentile")
print(f"A score of 90 is at the {find_percentile_rank(scores, 90):.1f} percentile")
print(f"A score of 75 is at the {find_percentile_rank(scores, 75):.1f} percentile")