Jayne has four data sets.

Data set A: 2, 3, 4, 1, 2, 4

Data set B: 3, 5, 7, 6, 2

Data set C: 8, 9, 7, 8, 7

Data set D: 3, 2, 1, 0, 2

The data set that has the widest spread is _____ . The value that best represents the center of the data set with the widest spread is ______.

the choices are of course data set A, B, C, or D

Respuesta :

The data set that has the widest spread is Data set B. The value that best represents the center of the data set with the widest spread is 5.

Answer:

B is the data set with the widest spread, and the center is 5

Step-by-step explanation:

First we find the average value: add all the numbers and then we divide it in the number of total items in the set:

(3+5+7+6+2)/5 = 4.6

Then we find the variance

We sum the square of the difference between each number of the set and the average number, and finally divide it in the number of total items in the set:

((3-4.6)^2 + (5-4.6)^2 + ... )/5 = 3.44

We do this with every set to find that the set b has the highest variance, so it has the widest spread.

To the center we organice all the numbers from lowest to highest and look for the number in middle

2 3 5 6 7

The number is 5