Univariate Data Activity

Naviah Truesdale

1. Question: What are the shoe sizes of 20 females at MHS?

2. Collect Data:

5,5,6,7,7,7.5,7.5,8,8,8,8.5,8.5,8.5,8.5,9,9.5,9.5,10,11,11

3(A). Statistical Calculations

Mean: 8.15

Mode: 8.5

Range (max-min): 11 - 5 = 6

5 number summary:

- min: 5

- max: 11

- Q1: 7.25

- Q3: 9.25

- median: 8.25

Standard deviation: 1.62

Variance: (data - mean^2 then divide by n, # of items)

5 - 8.15 = 3.15^2 = 9.92 (2)

6 - 8.15 = -2.15^2 = 4.62

7 - 8.15 = -1.15^2 = 9.92 (2)

7.5 - 8.15 = -.65^2 = 9.92 (2)

8 - 8.15 = .02^2 = 9.92 (3)

8.5 - 8.15 =.35^2 = 9.92 (4)

9 - 8.15 = .85^2 = 9.92

9.5 - 8.15 = 1.35^2 = 9.92 (2)

10 - 8.15 = 3.42^2 = 9.92

11 - 8.15 = 6.25^2 = 9.92 (2)

Variance = 2.44

IQR (Q3-Q1)= 9.25 - 7.25 = 2

Outliers? : None

Q1 - 1.5(IQR) = 7.25 - 1.5(2) = 4.85

Q3 + 1.5(IQR) = 9.25 + 1.5(2) = 12.25

3 (B). Box & Whisker Plot & Histogram

Big image
Big image

4. Paragraphs

My question was: "What are the shoe sizes of 20 females in MHS?" I figured this would be a good question to find data for because I thought that girls would have similar shoe sizes. After collecting my data it showed that the shoe sizes varied but many females had the same shoe size as other females. This data means that even though all of the females are different, they all have something in common.