Question

Найдите дисперсию выборки:1) 16 г, 14 г, 13 г, 17 г.2) 11 с, 14 с, 11 с, 12 с, 12 с.

Answer 1

Что надо там найти??

Answer 2

Calculation of Variance for the First Sample

To calculate the variance of a sample, we need to follow these steps:

1. Find the mean (average) of the sample. 2. Subtract the mean from each value in the sample. 3. Square each of the differences obtained in step 2. 4. Find the mean of the squared differences.

Let's calculate the variance for the first sample: 16g, 14g, 13g, 17g.

Step 1: Find the mean: Mean = (16 + 14 + 13 + 17) / 4 = 60 / 4 = 15

Step 2: Subtract the mean from each value: 16 - 15 = 1 14 - 15 = -1 13 - 15 = -2 17 - 15 = 2

Step 3: Square each difference: 1^2 = 1 (-1)^2 = 1 (-2)^2 = 4 2^2 = 4

Step 4: Find the mean of the squared differences: Mean of squared differences = (1 + 1 + 4 + 4) / 4 = 10 / 4 = 2.5

Therefore, the variance of the first sample is 2.5.

Calculation of Variance for the Second Sample

Let's calculate the variance for the second sample: 11c, 14c, 11c, 12c, 12c.

Step 1: Find the mean: Mean = (11 + 14 + 11 + 12 + 12) / 5 = 60 / 5 = 12

Step 2: Subtract the mean from each value: 11 - 12 = -1 14 - 12 = 2 11 - 12 = -1 12 - 12 = 0 12 - 12 = 0

Step 3: Square each difference: (-1)^2 = 1 2^2 = 4 (-1)^2 = 1 0^2 = 0 0^2 = 0

Step 4: Find the mean of the squared differences: Mean of squared differences = (1 + 4 + 1 + 0 + 0) / 5 = 6 / 5 = 1.2

Therefore, the variance of the second sample is 1.2.