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WorksheetsPractice using the Normal Curve
Total questions: 40
Worksheet time: 3hrs 11mins
About what percent of the products last between 12 and 15 days?
About what percent of the products last 6 days or less?
Then, 68% of all tires will have a life between ___________ km and __________ km.
Suppose a male long jumper's jump ranked in the 75th percentile. How long was his jump?
A study of the amounts of time college freshmen study each week found that the times are normally distributed with a mean of 7.06 hours and a standard deviation of 2.32 hours. How many hours would a student that spends the fewest 5% of time on homework work?
In the world of Harry Potter, wand lengths are normally distributed with a mean of 10.7 inches and a standard deviation of 1.6 inches.
What proportion of wizard and witches have wands shorter than Harry Potter's wand which is 11 inches?
0.4256
0.0744
0.5744
0.2450
In the world of Harry Potter, wand lengths are normally distributed with a mean of 10.7 inches and a standard deviation of 1.6 inches.
The shortest known wand (belonging to Mary Cattermole) is 8.75 inches. If one wand is randomly selected, find the probability that it is longer than her wand.
0.1186
0.8885
0.3885
0.1115
In the world of Harry Potter, wand lengths are normally distributed with a mean of 10.7 inches and a standard deviation of 1.6 inches.
What wand length is the 37th percentile?
9.62 inches
10.7 inches
11.23 inches
10.17 inches
75
What percent of a normal distribution lies 3 standard deviations above the mean?
99.7%
.15%
.3%
100%
The speeds of cars on the highway have a mean of 95 km/h with a standard deviation of 5 km/h. What percentage of cars averaged less than 85 km/h?
.15%
23.5%
2.5%
18.5%
In a normal curve,
the mean is greater than the median
the mean is less than the median
the mean is equal to the median
who knows
What is Standard Deviation?
A measure of central tendency
A measurement of how much data varies
A measurement of how much data varies from the average
Which measure goes in the center of the Normal Curve?
standard deviation
mean
median
mode
What's the standard deviation?
150
60
240
30
What goes in the yellow box?
mean
median
mode
standard deviation
Which statement(s) is/are true about the histogram?
the median is higher than the mean
the median is lower than the mean
it is skewed right
it is skewed left
Two measures of center are marked on the density curve shown. Which of the following is correct?
The median is at the yellow line and the mean is at the red line.
The median is at the red line and the mean is at the yellow line.
The mode is at the red line and the median is at the yellow line.
The mode is at the yellow line and the median is at the red line.
.
The mode is at the red line and the mean is at the yellow line.
What is the shape of the distribution?
Symmetrical
Uniform
Skewed Right
Skewed Left
A survey asked 72 randomly chosen students if they were going to attend the school play. Twelve said yes. If there are 210 tickets sold for the play, predict the number of students who attend the school.
12 students
72 students
35 students
Not enough information
What is the shape of this bar graph?
Skew right
Skew left
Symmetrical
uniform
the mean is less than the median
skewed left
skewed right
symmetrical
Find the mean: 1,0,10,7,13,2,9,15,0,3
4
5
6
7
Find the median: 1, 0, 10, 7, 13, 2, 9, 15, 0, 3
1
5
10
4
In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 99.7% of molds filled by this machine will hold weights in what interval?
Use the following information and the Empirical Rule to estimate the answer (non-calculator).
The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.
Find the proportion of golfers that are between 30 and 46 years old.
68%
94%
95%
99.7%
2000 freshmen at State Univ. took a Biology test. The scores were distributed normally with μ=70 and σ=5.
What percent of scores are less than 70 (non-calculator)?
34%
50%
16%
84%
500 juniors at Central High School took the ACT last year. The scores were distributed normally with μ=24 and σ=4.
What percent of ACT scores are between 20 and 28 (non-calculator)?
34%
68%
81.5%
95%
