MATH SOLVE

2 months ago

Q:
# URGENT!! The passing yards for the top 5 quarterbacks in the country are 3,832, 3,779, 3,655, 3,642, and 3,579. Find the variance and standard deviation. Round to the nearest hundredth.(EXPLAIN WORK)

Accepted Solution

A:

Answer:The variance is 8732.24 and the standard deviation is 93.45Step-by-step explanation:* Lets explain how to find variance and the standard deviation# Step 1: find the mean of the data set∵ The mean = the sum of the data ÷ the number of the data∵ The data set is 3832 , 3779 , 3655 , 3642 , 3579∵ Their sum = 3832 + 3779 + 3655 + 3642 + 3579 = 18487∵ They are five numbers∴ The mean = 18487 ÷ 5 = 3697.4# Step 2: subtract the mean from each data and square the answer∴ (3832 - 3697.4)² = 18117.16∴ (3779 - 3697.4)² = 6658.56∴ (3655 - 3697.4)² = 1797.76∴ (3642 - 3697.4)² = 3069.16∴ (3579 - 3697.4)² = 14018.56# Step 3: calculate the Variance (σ²) , by adding the square difference, and divide it by the number of the data∵ Variance = sum of the square difference ÷ number of the data∵ The sum = 18117.16 + 6658.56 + 1797.76 + 3069.16 + 14018.56 ∴ The sum = 43661.2∴ σ² = 43661.2 ÷ 5 = 8732.24# Step 4: the standard deviation (σ) is the square root of variance∴ The standard deviation = √(8732.24) = 93.446455 ≅ 93.45* The variance is 8732.24 and the standard deviation is 93.45