Statistics - math word problems - page 24 of 45
Number of problems found: 887
- 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 - Report card grades
Karolína does not want to reveal at home what grades she will get on her report card. She said only this: "There will be 8 marks on the report card, their arithmetic mean is 2.125, the median is 2, the mode is 1, and I will not have any 2's. How many four - The bar chart
The bar chart shows the results of the math test. How many percents of pupils achieved approximately better results than the class average? Diagram: 1-10 pupils, 2-4 pupils, 3-6 pupils, 4-2 pupils, 5-4 pupils. (lowest results are better) - There
There are 24 students in the class. The math class is divided into two groups of 12 students on Friday. The table shows the results of pupil assessment in the two groups. Three students in the first group had worse grades than those in the second group. T - Box and whisker plot
Construct a box and whisker plot for the given data. 56, 32, 54, 32, 23, 67, 23, 45, 12, 32, 34, 24, 36, 47, 19, 43 - Fifteen
Fifteen students had an average age of 12 years. When the class teacher came to see them, their average increased by exactly one year. How old was the teacher? - 5-number summary
Given the following 5-number summary: 11, 19, 24, 30, 48, which of the statistics cannot be determined? - Three number average
Look for three numbers with an average of 2000. The middle number is 2000 - Average points
Fifty students took a math test. The average number of points was 68. The top 10 students scored 100 points. What is the average number of points for the remaining 40 students? - Average mark
Calculate the average mark in English if a student got a couple of 3's, 20% less two than 3, and 50% more 1's than the 2's. - Before yesterday
The merchant adds a sale sign in his shop window to the pair of shoes shown in the morning: "Today by p% cheaper than yesterday. " After a while, however, he decided that the sign saying: "Today 62.5% cheaper than the day before yesterday". Determine the - Nuts
Peter has 49 nuts. Walnuts have three more than hazelnuts and hazelnut two over almonds. Determine the number of walnuts, almonds, and hazelnuts. - 3y inflation
The price of the cookie rise in the first year by 2%, the second year fell by 6%, and in the third year increased by 17%. Calculate the average annual increase in the price of the cookie. - The following
The following data represents the number of cases of coffee or filters sold by four sales reps in a recent sales competition. Sales Person; Gourmet; Single Cup; Filters; Total Connor; 142; 325; 30; 497 Paige ; 42; 125; 40; 207 Bryce ; 9; 100; 10; 119 Mall - Class grade average
There are 30 students in the class. Five had a mark three — other twos and ones. The average grade was 1.9. How many students got mark one? - Class weight average
There were 31 students in the class, and the arithmetic average weight was 43 kg. Calculate the average weight in the class if a student weighing 91 kg has been added to the class. - Twenty
Twenty swallows sit on a 10 m long telephone cable. Assume that swallows are completely randomly distributed along the line. (a) What is the probability that more than three swallows sit on a randomly selected section of cable 1 m long? (b) What is the pr - Consecutive odd numbers
The sum of two consecutive odd numbers is 184. What are these numbers? - 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 - Javelin throwers
Javelin throwers Anna and Barbora have average throw lengths of 67 m and 75 m, respectively, and standard deviations of 6 m and 3 m, respectively. Assume that the throw lengths have independent normal distributions. Calculate the probability that Anna thr
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