Mean - practice problems - page 4 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
- Squared deviation
Given the data from the problem (sample data: 23, 27, 35, 44), find the sum of the squared deviations (the numerator of the fraction under the square root in the formula). In finding the number, round all calculations to 2 decimals (if you carry more or f
- Variance formula
Find the variance of 10,10,10,20,20,30.
- Below 5
Below is a collection of test scores from a class of 20 students. Make 2 histograms of the data. Choose your own horizontal scales as long as you have more than 4 cells in each histogram. 65 70 68 87 98 91 77 85 70 72 86 86 94 95 67 88 77 99 74 71
- Geometric 20
Find the geometric mean of 15 15 20 25 30.
- The average 11
The average of a set of 7 numbers is 20. The average of a second set of 13 numbers is 40. What is the mean of all 20?
- The median (odd)
Jane's grades in her third periodical tests are 98, 97, 86, 94, 90, 97, 91, and 94. Find the median of her grades and interpret the result.
- The average 10
The average of three fractions is 2 3/8. If two of the fractions are 2 1/5 and 1 2/3, what is the total value of the three fractions?
- The number 9
The number of minutes it took Jim to ride his bike to school for each of the past six days was 21, 18, 16, 19, 24, and 19. Find the mean number of minutes.
- Kenji
Kenji earned the test scores below in English class. {79, 91, 93, 85, 86, and 88} After his next test, his mean and median scores both changed to 88. What does he earn on his test?
- Two classes
The average of 1A class of 25 is 12 years, and the average age of 1B class of 22 is 10 years. What is the average age of the pupils of 1A and 1B classes?
- A meteorologist
A meteorologist calculated that the average temperature over the last four years dropped a total of 20 degrees. What integer represents the average change in the temperature per year?
- Suppose 12
Suppose in a physics test involving 30 students, and four scored 75%, eight scored 60%, twelve scored 50%, and six scored 30%. Calculate the mean of the group and the standard deviation.
- The mass 3
The mass of certain types of cabbage is normally distributed with a mean of 1000 g and a standard deviation of 0.15 kg. In a batch of 800 cabbages, estimate how many a mass between 750g and 1290g.
- The following 4
The following are the scores of 10 students in a quiz in Teaching Mathematics in the Intermediate Grades subject: 14, 16, 13, 17, 16, 16, 13, 19, 17, and 13. Find the mode and interpret it
- A student 5
A student took the measurements of his classroom and gave the width as 7m and the length as 9m. If there is an error of 2 percent in measurement, determine the greatest value of [X+Y]/X if X and Y are the width and length of the classroom, respectively. G
- Education - 5 modules
In a self-paced online class, there are five modules. The first four modules are worth the same, but the fifth module is worth as much as the other four combined. A student is one-fourth of the way through the last module and has done one-third of three o
- Credit courses
A student takes a 5 credit course, a four-credit course, two three-credit courses, and a one-credit course. He gets a C in the five-credit course, a B in the four-credit course and one of the three-credit courses, and an A in the other three-credit course
- Coefficient of skewness
For the data set whose Karl Pearson's Coefficient of skewness = -2.25, variance is 16, and Mean is 35, then its median value will be:
- A sample variance
Calculate the value of the sample variance. −8,−8,−3,13,4,−8,10,8
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