Mean - math word problems - page 15 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
- Arithmetic 54441
The arithmetic mean of the six numbers is precisely 9.5. The sum of these five numbers is 56.9. The sixth number is? - A plumber
A plumber has the following lengths of PVC: 3.3 ft, 9.77 ft, 8.41 ft, 9.61 ft, and 8 ft. What is his average length of PVC? - Day trip
A group of tourists went on a day trip. For two hours they walked at a speed of 6 km/h, for another hour they climbed a steep hill at a speed of 2 km/h, spent an hour and a half at lunch, then in an hour they inspected the castle garden at a free step at - Range, mean, median
The ages of 7 employees in an office are given below 32, 42, 30, 32, 33, 23, 32 Find a) Range b) Mean c) Median
- A frequency
A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 2,14,13,8, and 1, respectively. Using percentages, what are the relative frequencies of the five classes? - The average 3 The average of fractions is 7/10. One of the fractions is 2/3; the other fraction is?
- Manufacturing company A random sample of 8 manufacturing companies is selected from a population of manufacturing companies. The market values (in millions of rands) of these eight manufacturing companies are: 17 65 117 206 172 181 221 94 What is the lowest and highest market
- Language test
Your language test scores are 58, 68, 89, and 95. What is the lowest you can earn on the next test while still achieving an average of at least 79? - 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 - Blueberries 48771
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? - 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.
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