Statistics - practice problems - page 5 of 46
Number of problems found: 919
- 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 average 15
The average age of a group of four men whose ages are in the ratio of 2:3:4:5 is 42 years, what is the age of the eldest person of this group? - 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: - 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. - TF quiz
Gomer has to take a 5 question true/false quiz, but he hasn't studied. He will guess at each problem. In how many different ways is it possible to answer the quiz questions? How likely is it that he will get a score of 100%? - 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. - Offset the mean
The mean of 16 numbers is 8. If 2 is added to every number, what will be the new mean? - 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 - Q10 - investigate
A nutritionist who investigates fruits reported that the average weight of a raspberry is 4.4 g with a standard deviation of 1.28 g. What is the probability that a randomly selected raspberry would weigh less than 3.1 grams? Let X represent the weight of - A potato
A potato farmer incurred a total cost of $1600 and $2500 from producing 5 and 8 potato bags, respectively, in 2 separate weeks. Find the cost of x bags. - Find median
What is the median value in this list? 6/10,1/2,0.9,75%,0.03 - 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 - The vertices
The vertices of a triangle are A (-1,3), B (1,-1), and C (5, 1). Find the length of the median through the vertex C. - The coordinates 4
The coordinates of the vertices of ∆ABC are respectively (-4, -2), (6, 2) and (4, 6). Find the centroid G of ∆ABC. - A student 5
A student took the measurements of his classroom and gave the width as 7 m and the length as 9 m. 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. - A journey - 2 parts
A part of journey is covered in 1 h 40 min at 75 km/h and the remaining part of it is covered in 2 h 50 min at 60 km/h. Find the total length of the journey and average speed. - 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? - Automobil
The car traveled three quarters of the total journey at a speed of 90 km/h and the remaining part of the journey at a speed of 50 km/h. Find its average speed. - 3 sigma
Students' performance scores in a statistic test have a mean of 70 and a standard deviation of 4.0. The scores obtained can be modeled by a normal distribution. Find the probability that the score of a randomly selected student is i. more than 80 marks ii
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