Mean - practice problems - page 9 of 33
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: 642
- The probability
The probability that a life bulb will have a lifetime of more than 682 hours is 0.9788. The probability that a bulb will have a lifetime of more than 703 hours is 0.0051. Find the probability that a bulb will last for more than 648 hours. - Two sigma
Khail took his math test and scored 88. If the class average was 78 with a standard deviation of 5, what percent of students earned a higher grade than Khail's grade? - Estimate the mode
A medium-sized asset management firm has 56 fund managers. Each of these managers has its own portfolio. The percentage returns from the managers' portfolios are shown in the table below: Return percentage; Number of managers 0-10; 8 10-20; 18 20-30; 21 - Outliers
The teacher found the five-number summary of a dataset to be: 0, 5, 7, 14, 17 An observation is considered an outlier if it is below: An observation is considered an outlier if it is above:
- Arithmetic 72544
The arithmetic mean of two numbers is 12. The first number is 5. What is the value of the second number? - Trapezoid 45
Trapezoid with: Area: 345 1/2 sq cm base 1= 15 1/3 cm height= 4 1/5 cm What size has base 2? - A biologist
A biologist knows that the average length of a leaf of a certain plant is 4 inches. The standard deviation of the population is 0.6 inches. A sample of 20 leaves of that type of plant given a new type of plant food had an average length of 4.2 inches. At - Construction 71794
Two different trucks together would bring the construction material in 6 hours. However, after 4 hours, the first car was transferred to another job, and the second one was driven for another 6 hours. How many hours would it take for the first car to deli - Apartment 71114
A father and son paint the apartment together in 6 hours. My father would paint the apartment in 9 hours. In how many hours would the son paint the apartment himself?
- GP 3 members
Given that 49, X, and 81 are consecutive terms of a geometric progression, find: A. The value of x B. Geometric mean - Employees 70614
The company has 18 employees aged 26-52. The age groups of the employees are: 3 employees aged 52 years, 2 aged 32 years, 1 ... 26 years old, 5 ... 36 years old, 4 ... 45 years old, and 3 ... 50 years old. Determine the median. - Average spending
If Rina's cell phone bills for the past five months have been $91, $69, $74, $56, and $70, what was her average cell phone bill for the past five months? - Collection 70394
We mixed two types of candies into the collection. The first species is for 36 CZK per 1 kg, and the second species is for 54 CZK per 1 kg. What was the price of one kg of a mixture? - A cyclist
A cyclist rides for 30 minutes on a style road to the top of a mountain. Down there, the road goes downhill. Its uphill speed is 20km/h and 60km/h downhill. The distance from the summit of the mountain to its destination is 30 km. Calculate the average sp
- Students 34
Students were surveyed as part of a Statistics project to determine if younger adults are more likely to have tattoos. The results are listed in the two-way table below: age; At least one tattoo; No tattoo; Row totals Age 18 - 29; 165 ; 342; 507 Age 30 - - An exam - normal distribution
Five thousand students take an exam with a mean of 59 and a deviation of 8. How many students will score less than 75? - The average 5
The average of the two numbers is 9.5. One of the numbers is 11. What is the value of the other number? - Determine 68804
The basket contains five red apples with an average weight of 125 grams and one yellow apple. The average weight of all apples in a basket is 120 grams. Determine the weight of the yellow apple in grams. - Length 26
The length of the median of the trapezoid is 10 inches. The median divides the trapezoid into two areas whose ratio is 3:5. The length of the shorter base is:
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