37
Find the variance of the given numbers: 36, 28, 45, and 51.
- A63.5
- B68.5
- C71.5
- D76.5
Answer not set
Discussion 1
Log in or create a free account to reply and vote.
0
CCommunity
Mean is the average of the given numbers,
⇒ Mean = (36 + 28 + 45 + 51)/4 = 160/4 = 40
Variance is calculated by taking the average of the squares of the difference between each term and the mean,
⇒ Variance = [(36 - 40)2 + (28 - 40)2 + (45 - 40)2 + (51 - 40)2]/4
= [16 + 144 + 25 + 121]/4 = 306/4 = 76.5
∴ Variance of the given numbers = 76.5
⇒ Mean = (36 + 28 + 45 + 51)/4 = 160/4 = 40
Variance is calculated by taking the average of the squares of the difference between each term and the mean,
⇒ Variance = [(36 - 40)2 + (28 - 40)2 + (45 - 40)2 + (51 - 40)2]/4
= [16 + 144 + 25 + 121]/4 = 306/4 = 76.5
∴ Variance of the given numbers = 76.5