WorksheetsM3R Normal Distribution Practice
Total questions: 15
Worksheet time: 42mins
About what percent of the products last between 12 and 15 days?
434 Company pack coffee in bags marked as 250 g
A large number of packs of coffee were weighed and the mean and standard deviation were calculated as 255 g and 2.5 g respectively.
Assuming this data is normally distributed, what percentage of packs are underweight?
2.5%
3.5%
4%
5%
The heights of male students are Normally distributed with mean 1.7 m and standard deviation 0.2 m
In a population of 400 male students, how many would you expect to have a height between 1.4 m and 1.6 m?
24
54
97
100
A company makes parts for a machine. The lengths of the parts must be within certain limits or they will be rejected.
A large number of parts were measured and the mean and standard deviation were calculated as 3.1 m and 0.005 m respectively.
Assuming this data is normally distributed and 99.7% of the parts were accepted, what are the limits?
Between 3.075 m and 3.125 m
Between 3.080 m and 3.120 m
Between 3.085 m and 3.115 m
Between 3.090 m and 3.110 m
Students pass a test if they score 50% or more.
The marks of a large number of students were sampled and the mean and standard deviation were calculated as 42% and 8% respectively.
Assuming this data is normally distributed, what percentage of students pass the test? in percentage...
5
16
24
32
The ages of the population of people living in Meru area in Ipoh are Normally distributed with mean 43 and standard deviation 14
The town has a population of 5,000.
How many would you expect to be aged between 22 and 57?
You can use this Standard Normal Distribution curve:
1750
3860
3870
4330
The mean July daily rainfall in Hulu Kinta is 10 mm and the standard deviation is 1.5 mm
Assume that this data is normally distributed.
How many days in July would you expect the daily rainfall to be less than 8.5 mm?
5
6
7
10
Mensa International is a non-profit organization that accepts only people with IQ score within the top 2%. What level of IQ qualifies one to be a member of Mensa?
Suppose a male long jumper's jump ranked in the 75th percentile. How long was his jump?
If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist sizes greater than 31 inches?
