Mean - practice problems - page 6 of 35
the arithmetic mean (simply the mean or average) is the sum of a collection of numbers divided by the count of numbers in the collection. The arithmetic mean is the most commonly used and readily understood measure of central tendency in a data set. It is a statistical characteristic of the center of a given data set.Arithmetic mean is a quantity very sensitive to extreme values, so the median and mode are also used in practice. Mode is the most common value. The median halves the ordered file.
Number of problems found: 690
- The test 2
The test scores for a class are 86, 94, 70, 81, 92, 74, 75, 89, 76, and 97. What is the mean of the data set?
- Z-score 3
A random variable X has a mean of 4 and a standard deviation of 2. What is the corresponding z-score for x = 7?
- A fair 2
A fair die is thrown two times. What is the probability that the sum of the score is almost 8?
- The bowling
The bowling scores in the local bowling tournament are 175, 200, 150, and 165. If he intends to average 170 in the 5 game series, what must his score be on his last game?
- 3 sigma
Students' performance scores in a statistic test have a mean of 70 and a standard deviation of 4.0. The scores obtained can be modeled by a normal distribution. Find the probability that the score of a randomly selected student is i. more than 80 marks ii
- Midpoint between conjugate
Find the midpoint between two roots: 2+3.464i and 2 - 3.464i
- The profit 3
An investment's profit (or loss) is normally distributed with a mean of $11,200 and a standard deviation of $8,250. What is the probability of a loss rather than a profit?
- The Uniform Distribution
The number of tickets purchased by an individual for Beckham colleges holiday music festival is uniformly distributed random variable ranging from 5 to 12. What is the standard deviation?
- Suppose 8
Suppose the scores on a test have a normal distribution with X=74 and a standard deviation of s=18. What percentage of students have scores higher than 90? What percentage of students have scores between 70 and 85? Twenty percent of the students do better
- The miniature
The miniature golf scores for 7 friends are 23, 30, 39, 32, 35, 14, and 23. What is the mean golf score for this group of friends?
- Arithmetic 84171
The arithmetic mean of two numbers is 10. One of the numbers is 2. What is the second number?
- Lifetime - bell curve
Laser lifetime follows a normal distribution with a mean of 7000 hours and a standard deviation of 600 hours. What is the probability that the laser will fail before 6000 hours? What is the probability that the laser will last at least 7500 hours?
- Arithmetic 83428
What is the arithmetic mean of straight and right angles?
- Arithmetic 83270
Marks with equal weight 2,1,3,2,2,3,1,3,1,1,2,4,2,2,3,1,1,2,1,3 specify: 1) arithmetic mean 2) absolute and relative frequency 3) mode and median 4) create a chart
- Calculate 83263
Calculate the average of the numbers 1.95 2.02 2.05 2.07 2.07 2.07 2.09 2.11 2.11 2.12 2.14 2.16 2.16 2.16 2.18 2.18 2.24 2.26
- Decoration
Jarka and Jana decided to decorate their common room. If Jarka painted it alone, it would take her 4 hours, and Jane 3 hours. How long would they paint the room if they painted together?
- Increased 83221
There are 12 players on the team, with an average height of 185cm. If the average height of a new player increased by 1cm after he joined the team, what would be his height?
- Successful 83167
Eighth-grade test results: 8D =? 8B = 47 8A = 44 8E = 37 8C = 28 Class 8A achieved exactly the average result. How many points did the winning class 8D get? By what % is class 8B more successful than class 8C?
- Students 83149
There are 30 students in the class. Five had a mark three — other twos and ones. The average grade was 1.9. How many students got mark one?
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