Data Set 2A
Suppose that the ages of 8 kittens in a pet shop are as follows:
1, 2, 2, 3, 3, 4, 4, 5
-What is the variance for Data Set 2A?
A) 1
B) 2
C) √1.5
D) 1.5
E) 2.5

Question

Quizplus · Accepted Answer

1. Find the mean: 
(1+2+2+3+3+4+4+5)/8 = 3
2. Find the deviation for each data point: 
-2, -1, -1, 0, 0, 1, 1, 2
3. Square each deviation: 
4, 1, 1, 0, 0, 1, 1, 4
4. Find the sum of squared deviations: 
12
5. Divide the sum of squared deviations by the number of data points (minus one): 
12/(8-1) = 1.7142857
6. Round to the nearest tenth: 
1.7
7. Find the square root: 
√1.7 ≈ 1.3
Therefore, the variance is approximately 1.7 and the closest answer choice is D (1.5).

Data Set 2A Suppose That the Ages of 8 Kittens in a Pet