Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

try it find the mean of the data. 1. dog weights (pounds) sparky: 18 sp…

Question

try it find the mean of the data.
1.
dog weights (pounds)
sparky: 18
spot: 9
rover: 60
newton: 89
diego: 44
ruby: 13
mookie: 54
fido: 45

Explanation:

Step1: Sum the data values

First, we add up all the dog weights: \(18 + 9 + 60 + 89 + 44 + 13 + 54 + 45\)
Calculating the sum: \(18+9 = 27\); \(27+60 = 87\); \(87+89 = 176\); \(176+44 = 220\); \(220+13 = 233\); \(233+54 = 287\); \(287+45 = 332\)

Step2: Count the number of data points

There are 8 dogs, so the number of data points \(n = 8\)

Step3: Calculate the mean

The mean \(\bar{x}\) is given by the formula \(\bar{x}=\frac{\sum x}{n}\), where \(\sum x\) is the sum of the data and \(n\) is the number of data points.
Substituting the values: \(\bar{x}=\frac{332}{8}\)
Calculating \(\frac{332}{8}=41.5\)

Answer:

The mean of the dog weights is \(41.5\) pounds.