Mean - math word problems - page 17 of 37
Number of problems found: 730
- An architect
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 - A professor
A professor in a typing class found out that the average performance of an expert typist is 85 words per minute. A random sample of 16 students took the typing test, and we obtained an average speed of 62 words per minute with a standard deviation of 8. C - Unemployment rate
Over the last 16 years, the country's unemployment rate has changed according to the following frequency table: years of unemployment: 2 5 2 3 3 1 unemployment rate: 0.5 1 1.5 2 2.5 3 in % (percent). Determine the two-sided confidence interval for the var - Confidence Interval The average grade of 50 senior students in a statistics class is 85, with a standard deviation of 10.2. In comparison, 60 senior students got an average of 80 with a standard deviation of 8.9. Can the difference in the mean grade be attributed to chance,
- 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 that this group performs le - 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 how many seedlings were in each part was calculated. It was found that there were no seedlings in six parts. Five parts contained one seedling, twelve parts two seedlings, and seven parts three - Corresponding Suppose that the country has had the following inflation rates over the past 14 years: 6.0; 6.7; 10.4; 11.9; 7.2;3.5; 8.4; 7.5; 2.8; 4.3; 1.9; 3.9; 0.9; 0.7. Use the χ² goodness-of-fit test to determine whether the random variable ξ corresponding to this
- Bucket blueberry filling
Mirka picks up a bucket of blueberries in two hours. Lorenzo fills one-third of the bucket every hour. How long would it take to fill one bucket together to the brim? - Volunteer hours average
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 mean median
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
- Jana grade average
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? - Assembly sick worker
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? - Dice six probability
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 odd numbers
The sum of two consecutive odd numbers is 184. What are these numbers? - Vineyard spraying time
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 be 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 of the bedroom. Sol
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