Jayla is given the model N(361, 18)
for a set of 75 data values and wants to determine if a normal model would be a good fit for her set. What are the −1σ
and +1σ
values for her set? How many data points should she expect to fall within the −1σ
and +1σ
values?(2 points)
The −1σ
value is
. The +1σ
value is
. Jayla can expect that roughly
values should fall between −1σ
and +1σ
.
The -1σ value is 361 - 18 = 343
The +1σ value is 361 + 18 = 379
Jayla can expect that roughly 68% of the data points (which corresponds to one standard deviation in a normal distribution) should fall between -1σ and +1σ. Therefore, she can expect approximately 51 data points to fall within the -1σ and +1σ values.
what is the value of -1σ
To find the -1σ value, we subtract 18 from the mean value of 361:
-1σ = 361 - 18
-1σ = 343
Therefore, the -1σ value is 343.