Counting Strategies
This symbol represents the product of all positive integers from 1 to a given number.
What is a factorial (n!)?
What is the measure of center is found by adding all data values and dividing by the number of values.
The Mean
The heights of students in a class are normally distributed with a mean of 65 inches. This means the average student's height is this value.
65 inches
The mean score for an SOL is 405 if Anon got a 430 what is the Z score for it if the standard deviation is 2.5
18
How many ways can 3 different books be arranged on a shelf?
6
This expression gives the number of ways to arrange 4 objects selected from 10 distinct objects when order matters.
What is 10p4?
What is the measure of center is the middle value of a data set when the values are arranged in order.
Median
The test scores in a class have a mean of 80 points and a standard deviation of 5 points. This means a typical score is about this many points away from the mean.
5 points
The weight of a pound of steak is 9.3 pounds with a standard deviation of 2.1 if you got a 5.0 pound steak what is the Z score
-2.14
The data set 3, 5, 7, 9, 11 has this median.
7
This expression gives the number of ways to choose 4 students from a class of 10 when order does not matter.
What is the measure identifies the value that occurs most frequently in a data set.
Mode
n a perfectly normal distribution, approximately 68% of the data falls within this many standard deviations of the mean.
1 Standard deviation
The mean efficiency of the average car is 25.9 mpg with a standard deviation of 3.4 if you drive at 43.2 miles per hour what is the Z score
0.37
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Approximately 95% of scores fall between these values.
70 and 130
The value of 6! is this number.
What is 720?
What is the measure describes how spread out data values are from the mean and is calculated by taking the square root of the variance.
Standard deviation
A distribution has a mean of 100 and a standard deviation of 15. A value of 130 has this z-score.
2
The mean is 596.2 and the Z score is 43.8 find the Z factor if the standard deviation is 2
683.8
The mean height is 68 inches with a standard deviation of 2 inches. A person who is 72 inches tall has this z-score.
2
Calculate 10p3
What is 336?
A data set has a mean of 50 and a standard deviation of 5. A value of 60 is this many standard deviations above the mean.
If the normally distributed mean is 4,400 pounds and a standard deviation of 200 pounds what percent of cars weigh between 4,400 pounds and 6,000 pounds
50%
Find the mean, standard deviation, Median, and mode 28, 35, 42, 33, 12
median, 42
Mode= N/A\
Mean=30
SD=10.1
A class has 12 students. Three students are selected to represent the class at a conference, and the order of selection does not matter. This counting expression correctly models the situation.
12C3