In a set of 100 ACT scores that are normally distributed and with a mean of 23 and standard deviation of 4.69, a. How many scores are expected to be lower than 18.31 (one standard deviation below the mean)? B. How many of the 100 scores are expected to be below 32.38 (two standard deviations above the mean)?

A) 16 scores

B) 98 scores

Explanation:

if we look at a normal distribution table, 50% + 34.13% of all scores will be greater than 18.31 (one standard deviation)

this means that 84.13% or 84 scores will be higher than 18.31, so 100 - 84 = 16 scores will be lower than 18.31

we follow a similar procedure for 2 standard deviations, where 50% + 47.72% of the scores will be lower than 32.38 (the other side of the bell curve)

this means that 97.72% or 98 scores will be lower than 32.38

answer: life insurance

explanation:

answer: a. the kind of population living in your neighbourhood.

the census explorer data tool by the us census bureau allows the user to zoom in on any neighbourhood within the united states and find the kind of people residing in that by race and age.  

the tool needs to needs to be used twice – once in order to find what type of people reside in a neighbourhood, and then to see the age groups of the people in the same neighbourhood.