Question

Consider the number of questions incorrect from classmates on a quiz { 10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 20 }. According to the Empirical Rule, 68% of the data should fall between what two numbers?

A. 12 and 17
B. 11.98 and 18.02
C. 13.5 and 16.35
D. 10.20 and 12.92

Answer 1

We need to find someone who is good at Empirical Rule, can you help me find someone?

Answer 2

@igigighjkl
@Study312
@JoyKat

Answer 3

@Vickyisthesmartone123

Answer 4

what is it that u need he1p with?

Answer 5

my question

Answer 6

What grade is this.

Answer 7

empirical rule says 68 percent (roughly) of data has to lie within one standard deviation from the mean...

Answer 8

d0 u n0w what mean means?

Answer 9

mean = average of all incorrect answers (225/15 = 15)

Answer 10

yes

Answer 11

standard deviation is the square r00t of the variance...variance is the expected value of the squared difference between the variable's realization and the variable's mean:

Answer 12

Variance = [(10-15)^2 + (11-15)^2 + (12-15)^2 + (13-15)^2 + (13-15)^2 + (13-15)^2 + (14-15)^2 + (15-15)^2 + (16-15)^2 + (16-15)^2 + (17-15)^2 + (18-15)^2 + (18-15)^2 + (19-15)^2 + (20-15)^2] / 15

Answer 13

Variance = [25 + 16 + 9 + 4 + 4 + 4 + 1 + 0 + 1 + 1 + 4 + 9 + 9 + 16 + 25] / 15

Variance = 128 / 15 = 8.533333333333333333

Answer 14

SD = square root of the variance = 2.921 (approx)

therefore, since 68% of the data is within +/- 1 standard deviation of the mean, it is between (15 - 2.921) and (15 + 2.921) ....which is 12.079 and 17.921

Answer 15

thank you for showing me this an teachi gme

Answer 16

Excuse me! I'm doing a study guide, for which I have to learn and study

Answer 17

@Howard-Wolowitz Sorry! Thought you were interested cause you seem stuck hehe
Sorry I won't do it again! :(