What are the values for the mean, median, and standard 52, 43, 30, 38, 30, 42, 12, 46, 39, 37, 34, 46, 32, 18, 41, 5

The mean is the average of all of the numbers. Add them and divide by 16.

The median is the middle number. Arrange the numbers in order and then find the middle.

Standard deviation?

Find the mean first = sum of scores/number of scores

Subtract each of the scores from the mean and square each difference. Find the sum of these squares. Divide that by the number of scores to get variance.

Standard deviation = square root of variance

To find the mean, median, and standard deviation of a set of numbers, follow these steps:

1. Mean:
- Add up all the numbers in the set: 52 + 43 + 30 + 38 + 30 + 42 + 12 + 46 + 39 + 37 + 34 + 46 + 32 + 18 + 41 + 5 = 582.
- Divide the sum by the total number of values in the set: 582 / 16 = 36.375.

2. Median:
- Arrange the numbers in ascending order: 5, 12, 18, 30, 30, 32, 34, 37, 38, 39, 41, 42, 43, 46, 46, 52.
- Find the middle value: The median in this case is the average of the two middle values, which are 38 and 39: (38 + 39) / 2 = 38.5.

3. Standard Deviation:
- Find the mean of the set (which we found to be 36.375).
- For each number in the set, subtract the mean and square the result.
- Sum up all the squared differences.
- Divide the sum by the total number of values in the set (16).
- Take the square root of the result to get the standard deviation.

Calculating the standard deviation can be a bit more complex, so let's break it down step by step:

Step 1: Subtract the mean from each number and square the result for each value:

(52 - 36.375)^2 = 248.765625
(43 - 36.375)^2 = 43.265625
(30 - 36.375)^2 = 40.140625
(38 - 36.375)^2 = 2.640625
(30 - 36.375)^2 = 40.140625
(42 - 36.375)^2 = 31.015625
(12 - 36.375)^2 = 591.515625
(46 - 36.375)^2 = 93.015625
(39 - 36.375)^2 = 7.515625
(37 - 36.375)^2 = 0.390625
(34 - 36.375)^2 = 5.640625
(46 - 36.375)^2 = 93.015625
(32 - 36.375)^2 = 19.265625
(18 - 36.375)^2 = 335.015625
(41 - 36.375)^2 = 21.640625
(5 - 36.375)^2 = 972.015625

Step 2: Sum up all the squared differences:
248.765625 + 43.265625 + 40.140625 + 2.640625 + 40.140625 + 31.015625 + 591.515625 + 93.015625 + 7.515625 + 0.390625 + 5.640625 + 93.015625 + 19.265625 + 335.015625 + 21.640625 + 972.015625 = 2535.609375

Step 3: Divide the sum by the total number of values (16):
2535.609375 / 16 = 158.4755859375

Step 4: Take the square root of the result to get the standard deviation:
sqrt(158.4755859375) ≈ 12.59

Thus, the mean is approximately 36.375, the median is approximately 38.5, and the standard deviation is approximately 12.59.