Mean - practice problems - page 8 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
- Statistical 81497
Determine the median, mode, arithmetic mean, variance, standard deviation, range of variation, and coefficient of variation of the character x in the statistical file: 2x 9, 7x 10, 9x 11, 11x 15, 15x 17, 16x 19, 13x 21, 10x 25, 9x 29, 4x 32
- Three-day trip
George went on a moped for a three-day trip. He drove 90 km on the first day, 30 km on the second day, and 60 km on the third day. He always drove at the same average speed and always the whole number of hours. Calculate the average speed if George drove
- Increased 81490
Suzan managed to get 40 points out of a possible 60 from the last paper. Her average number of points from the tests increased from 27 to 28 points. How many points should she have written if she wanted her overall average to rise to 29 points?
- Arithmetic 81453
A set of numbers 5,8,13,15,17,19 is given. What number should be added so that the arithmetic mean is 16?
- Simultaneously 81441
The tank is filled through three openings, A, B, and C. The simultaneously open inlets A and B are filled in 1 hour, inlets A and C in 45 minutes, and inlets B and C in 1.5 hours. How long would it take to fill each inlet separately?
- Classification 81133
One of the conditions for classification with grade 2 in geography is to obtain an average of at least 64 points from four tests. The minimum number of points a skater must receive from the fourth test to meet this condition is if she received 59, 67, or
- Processed 81125
The total number of orders processed in the courier office in five days is 10, 6, 8, 7, 9, then the total of Squares is ...
- Observations 81124
The number of observations is 24, and the value of the mean is 28, then the sum of all the values is ...
- Together 81046
Two painters are painting the factory fence together. If everyone worked alone, the first would finish the job in 16 days, the second in 20 days. When will they finish the work together?
- Everyone's 81021
There are 10 students in the drama club. We count everyone's age in whole years. The average age of the girls is 12.25 and the boys 12.5, and the average age of all is 12.3. How many girls and how many boys are there in the class?
- Five-minute 80951
Karel has an average grade of exactly 1.12 from five-minute episodes. Prove that at least 22 of them have one.
- Determine 80714
Three different numbers are given. The average of the average of two smaller numbers and the average of the two larger numbers is equal to the average of all three numbers. The average of the smallest and largest number is 2022. Determine the sum of the t
- Confidence interval
When checking the use-by date of a specific type of canned meat in warehouses of meat industry products, 340 canned goods were randomly selected, and it was found that 63 of them had passed their warranty period. Establish a 95% confidence interval to est
- Grandchildren 80639
The average age of the grandfather, grandmother, and their five grandchildren is 26 years. The average age of the grandchildren themselves is 7 years. Grandma is a year younger than grandpa. How old is grandma?
- Teacher's ages
The ages of the 10 teachers of a School are 32, 41, 67, 55, 23, 25, 28,40, 22, 35. Find out the range of the age of teachers.
- Characteristics: 80608
Arithmetic mean xA=40 and standard deviation sx=8 were calculated. Determine from which numbers the student calculated the given characteristics: a) 24 and 56 b) 16 and 64 c) 32 and 48
- Received 80578
A poultry company received a thousand chickens with an average weight of 1.7 kg at CZK 50/kg. During the day, the company sold 300 chickens for 24 thousand. CZK. What was the average weight of unsold chickens?
- Double 23
Double 1.25, then subtract 0.75. What do you get?
- Coefficient 80514
The resistance of a platinum wire at a temperature of 20°C is 20 Ω, and when heated to 500°C, it increases to 59 Ω. Determine the mean temperature coefficient of platinum
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