Statistics - practice problems
Statistics is the mathematical science of analyzing and interpreting data. While its inputs may be uncertain or variable, its methods provide precise tools for uncovering patterns within seemingly random information. As classicists say, "Statistics is the exact sum of imprecise numbers."At its core, statistics transforms raw data—no matter how chaotic it appears—into meaningful insights. By examining large datasets, statisticians can identify trends, test hypotheses, and make reliable predictions. Whether in science, economics, or everyday decision-making, statistics turns uncertainty into measurable knowledge.
Number of problems found: 887
- The airlines
The airline's company is interested in decreasing the waiting time spent by customers while buying air tickets. So, the relationship between waiting time "y" in minutes and the number of counters "x" operating to sell tickets has been studied (Marks 6) Th - Play with mean
The sum of few numbers is 450 and their mean is 50 and if another number 100 is included, the mean would be? - Average cost
A man bought 1 dozen banana at Rs 60 and 8 apples at Rs 120 . What is the average cost of each? - The mean - mi
Find the mean of 3 5 8 4 10. - Third tests
Third periodical tests are 98, 97, 86, 94, 90, 97, 91, and 94. Find the median of her grades and interpret the result. - Find mean Find the mean of two numbers: -4 and 5 (the first is negative four).
- The median 2 Here is a list of numbers: 9.9, 5.9, 3.6, 6.2, 8.9, 0.7, 4.4, 6.7, 9.9, 0.7 State the median. Give your answer as a decimal.
- The usage The battery usage time installed in a particular smartphone has a Normal distribution with a mean of 25.2 hours and a standard deviation of 7.5 hours. What is the probability of usage time greater than 32?
- 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. - Test scores
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 - 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 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. - 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? - 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 - A sample variance
Calculate the value of the sample variance. −8,−8,−3,13,4,−8,10,8 - A group 2 A group of students was asked, "How many hours did you watch television last week? "Here are their responses. 13, 14, 4, 19, 19, 11 Find the median and mean number of hours for these students. If necessary, round your answers to the nearest tenth. (a) Med
- A Gallup A Gallup poll investigated whether adults in Mumbai preferred staying at home or going out as their favorite way of spending time in the evening. Out of the 500 adults, the majority of adults (70%) indicated that staying at home was their favorite evening
- The test 2 The test scores for a class are 86, 94, 70, 81, 92, 74, 75, 89, 76, and 97. What is the mean of the data set?
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