Question

Which normal distribution has the greatest standard deviation? A normal distribution is shown. The curve peaks at 96 and hits the axis at 75 and 115. A normal distribution is shown. The curve peaks at 60 and hits the axis at 48 and 72. A normal distribution is shown. The curve peaks at 16 and there is area under the curve at all points. A normal distribution is shown. The curve peaks at 32 and hits the axis at 28 and 38

Answer 1

A

Explanation:

Answer 2

A) Case A we dont rally have a nrmal distribution in case C

(See step by step explanation)

Explanation:

Normal Distribution curve is a function of mean and standard deviation with these values we can plot the curve. The mean usually denoted by μ will show the most frecuent value of the population ( or sample ) and the standard deviation is a measure of the spread of the values around the mean. If we assume that for hitting the axis we should understand that the two given values are the end of the curve, then we can evaluate how spread is each of the curve then:

case A 115 - 75 = 40

case B 72 - 48 = 24

case C We do not touch x -axis in this case so curve is open we can find distribution values (theoretically) from -∞ to +∞ we dont really have a normal distribution in this case.

case D 38 - 28 = 10

Then if we dismiss case C the biggest standard deviation will be case A.

Note: we do not need to calculate standard deviation we just need to look how width it is