Mean - math word problems - page 13 of 32
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: 637
- Performance comparing
A standardized test was administered to thousands of students with a mean score of 85 and a standard deviation of 8. A random sample of 50 students was given the same test and showed an average score of 83.20. Is there evidence to show that this group has - Three sigma rule
The height of trees in a given stand is known to be a quantity with a normal probability distribution with a mean value of 15 m and a variance of 5 m². Determine the interval in which there will be tree heights in such a stand with a probability of 90% - Seedlings
The meadow was divided into 30 equally large parts, and then it was calculated how many seedlings were in each part. It was found that there were no seedlings in six parts. Five parts contained one seedling, twelve parts two seedlings, and seven parts thr - Blueberries 48771
Mirka picks up a bucket of blueberries in two hours. Lojzo fills one-third of the bucket every hour. How long would it take to fill one bucket together to the brim?
- Modifications 48393
During the cross-country ski run modifications, 32 volunteers worked 256 hours. How many hours did an average volunteer work? - A machine
A machine produces steel rods of normally distributed length, the mean length and the standard deviation being 50.0 cm and 0.5 cm, respectively. The rods do not conform to safety standards if they are either shorter than 49.1 cm or longer than 50.7 cm in - Arithmetic 48053
Calculate the arithmetic mean, median, and mode of numbers x1, x2. .., x15, if the number 2 occurs between them five times, the number 7 eight times, and the numbers 10 and 12 once. - Five number summary
Find the five-number summary for these data and make a boxplot. 14,5,12,19,2,35,5,4,3,7,5,8 - Mathematics 47563
The average of 19 students from the mathematics paper was 2.63 (rounded to two decimal places). Jana wrote the paper later because she was sick. After taking Janča's grade into account, the average changed to 2.60. What grade did Jana get?
- Assemblers 47483
Two assemblers with the same daily output were to complete the assembly in 12 days. After 4 days, one of them got sick, and the other finished the assembly in another 16 days. How long would it take everyone to do the assembly by themselves? - Average speed
The car drove on one section of the highway for half an hour at a speed of 80 km/h. Then he reduced his speed to 60km/h. It went three-quarters of an hour at a speed of 60 km/h. What was the average speed of the car? - Probability 47373
We were tasked with throwing the dice until we hit the "six." a) Find the average number of throws we will have to make to complete the task. b) How many times do we have to roll the dice so that the probability of falling at least one "six" is at least 9 - Consecutive 47011
The sum of two consecutive odd numbers is 184. What are these numbers? - Treatment 46571
They have 3 sprayers for the chemical treatment of the vines. The first would spray the vineyard in 12 hours, the second in 15 hours, and the third in 10 hours. How long would it take to spray the vineyard with all the sprayers combined?
- An architect 2
An architect is designing a house. He wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume - The volleyball ball
The volleyball ball can have a circumference of at least 650 max 750 mm after inflation. What air volume can this ball hold if its circumference is the average of the minimum and maximum inflation of the ball? - Roxville
The temperature in Rockville decreased by 15 degrees in five hours. What was the average decrease in temperature per hour? Write your answer as an integer. - Molecules 45441
The mean square velocity of the gas molecules is 1200 m/s. What pressure does this gas exert on the vessel wall when its density is 0.03 kg/m³? - Confidence interval
A food testing laboratory in Abu Dhabi has been commissioned to estimate the amount of olive oil contained in 1-gallon tins purchased from a range of international olive oil producers. The manufacturers state that the standard deviation of the amount of o
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