Mean - practice problems
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: 774
- Common work 2
Person A works twice as fast as person B. If both of them together can finish a piece of work in 12 days, how many days would person B alone take to do it? - Insert two > GP
If 4, 36, 324 are in a geometric progression, insert two more numbers into this progression so that it still forms a geometric progression. - V jedálni
In the school canteen of an elementary school, a survey was conducted among pupils about their favourite food. The results are shown in the following table: Pancakes; 102 Fried cheese; 81 Spaghetti; 18 Sweet dumplings; 42 Chicken with rice; 30 Determine: - Journey 9
A person covers half of his journey at 40 km/h and the remaining half at 20 km/h. Find his average speed for the whole journey. - A train 6
A train covers distances of 10 km, 20 km, and 30 km at speeds of 50 km/h, 60 km/h, and 90 km/h respectively. Find the average speed of the train in km/h. - The centroid
The centroid of a triangle ABC is at the point (3, 3, 3). If the coordinates of A and B are (3, −5, 7) and (−1, 7, −6) respectively, find the coordinates of point C. - The average 19
The average age of a class was 15 years. When 5 boys with an average age of 12 years and 6 months were admitted, the class average decreased by 6 months. How many students were in the class originally? - The average age
The average age of a 5-member committee is the same as it was 3 years ago, because an old member has been replaced by a new one. Find the difference between the ages of the old and new members. - Correcting mean
The average of 10 numbers is calculated as 25. It is later discovered that while calculating the average, the number 36 was wrongly read as 56. Find the correct average. - Two masons
Mason A can build a wall in 30 days, while Mason B can build it in 40 days. If they build it together and receive a payment of $7,000, what is B's share? - The average 17
The average monthly salary of 20 workers in an office is $4,590. If the manager's salary is added, the average salary becomes $4,920 per month. What is the manager's monthly salary? - Lightbulbs
The physical plant at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 48 and a standard deviation of 10. Using the em - Avg velocity
A car travels 120 km at 60 km/h and another 120 km at 40 km/h. What is its average speed for the entire journey? - Three people
Three people: Peter, Quinton, and Roland. 5 years ago, the average age of P and Q was 15 years. The current average age of P, Q, and R is 20 years. Find the age of R in 10 years. - Monthly income
There are three workers: X, Y, and Z. The average monthly income of X and Y is $5,050. The average monthly income of Y and Z is $6,250, and the average monthly income of X and Z is $5,200. What is the monthly income of X? - The median 3
The median of the following observations arranged in ascending order is 64: 27, 31, 46, 52, x, x + 4, 71, 79, 85, 90 Find the value of x. - Four legs of journey
A car driver covers a distance between two cities at a speed of 60 kmph and on the return, his speed is 40 kmph. He goes again from the first to the second city at twice the original speed and returns at half the original return speed. Find his average sp - Twins 2
The average age of a man and his two twin sons is 30 years. The ratio of the ages of father and one son is 5 : 2, what is the father's age? - Avg speed 2
A car covers four successive 3 km stretches at 10 kmph, 20 kmph, 30 kmph, and 60 kmph, respectively. What is the average speed over this distance? - Squares of odd
Find the average of squares of consecutive odd numbers from 1 to 13.
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