For the following scores, find the (a) mean, (b) median, (c) sum of squared

deviations, (d) variance, and (e) standard deviation:
2, 2, 0, 5, 1, 4, 1, 3, 0, 0, 1, 4, 4, 0, 1, 4, 3, 4, 2, 1, 0

For median (b), arrange scores in order of value. Median = 50th percentile = point where half the scores are valued above and half below.

(a) Mean = sum of scores/number of scores

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

Standard deviation (e) = square root of variance

I'll let you do the calculations.

To find the mean, median, sum of squared deviations, variance, and standard deviation for the given scores, you can follow these steps:

(a) Find the mean:
- Add up all the numbers: 2 + 2 + 0 + 5 + 1 + 4 + 1 + 3 + 0 + 0 + 1 + 4 + 4 + 0 + 1 + 4 + 3 + 4 + 2 + 1 + 0 = 47.
- Divide the sum by the total number of scores: 47 / 21 = 2.238.

(b) Find the median:
- Arrange the numbers in ascending order: 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5.
- Find the middle value of the sorted list: In this case, there are 21 numbers, so the median is the (21 + 1) / 2 = 11th value, which is 2.

(c) Find the sum of squared deviations:
- For each score, subtract the mean and square the result.
- Add up all the squared deviations: (2-2.238)^2 + (2-2.238)^2 + (0-2.238)^2 + (5-2.238)^2 + (1-2.238)^2 + (4-2.238)^2 + (1-2.238)^2 + (3-2.238)^2 + (0-2.238)^2 + (0-2.238)^2 + (1-2.238)^2 + (4-2.238)^2 + (4-2.238)^2 + (0-2.238)^2 + (1-2.238)^2 + (4-2.238)^2 + (3-2.238)^2 + (4-2.238)^2 + (2-2.238)^2 + (1-2.238)^2 + (0-2.238)^2 = 39.429.

(d) Find the variance:
- Divide the sum of squared deviations by the total number of scores minus 1: 39.429 / (21-1) = 2.071.

(e) Find the standard deviation:
- Take the square root of the variance: √2.071 ≈ 1.439.

So, the answers are:
(a) Mean: 2.238
(b) Median: 2
(c) Sum of squared deviations: 39.429
(d) Variance: 2.071
(e) Standard deviation: 1.439