Math topic中文

Measures of spread

range, interquartile range and standard deviation as measures of spread for a set of data

Practice questions

  1. 1The masses of two batches of 400 steel bars produced by factory A and B were measured and recorded. The cumulative frequ…
  2. 2The stem-and-leaf diagram shows the test scores of the boys and girls from a particular class. [Stem-and-leaf diagram pr…
  3. 3The smallest of a set of five number is an even number and it is prime. The range and the mean is 7. The median is also…
  4. 4The following stem-and-leaf diagram shows the scores of students in a math test. the median score, Answer ___ the interq…
  5. 5The marks of a group of 19 students in a test were recorded, as the marks are shown in the stem and leaf diagram. The mo…
  6. 6The cumulative frequency graph shows distribution of the waiting times before being served, in minutes, of 60 customers…
  7. 7The waiting time, t in minutes, for 40 customers at two phone service shops, Shop A and Shop B, are as follows. Calculat…
  8. 8The temperatures of eighteen girls in a class on a particular day are shown in the stem-and-leaf diagram. (Stem-and-leaf…
  9. 9The heights of 400 students in School A are recorded. The cumulative frequency curve below shows the distribution of the…
  10. 10The heights, in centimeters, of 100 plants of each of species A and species B are recorded. The cumulative frequency cur…
  11. 11The cumulative frequency curve shows the weekly expenditure on home deliveries of 160 households from Block W. Use the c…
  12. 12The masses of 20 bags, in kg, are measured. The results are shown on the stem-and-leaf diagram. Find the mean mass of th…
  13. 13The masses, in grams, of 200 apples of each of variety A and variety B are recorded. The cumulative frequency curves sho…
  14. 1412 students from class A took a Mathematics test. The table below shows the test marks of the students. However, two of…
  15. 15The box-and-whisker plots show the distribution of the masses (in grams) of eggs sold in Shop A and Shop B. There are 25…
  16. 16Six positive integers have a mean of 15, a median of 15 and a mode of 16. The range of these numbers is 7. Find the six…
  17. 17A researcher conducted a Particle Filtration Efficiency (PFE) test on surgical masks and reusable masks which have been…
  18. 18There are five numbers. Some information of the numbers are as shown. Range = 6 mean = 7 median = 8 mode = 9 Find the nu…
  19. 19The weights (in kg) of 14 students are measured and illustrated in the dot diagram. the range of the weights. Answer ___…
  20. 20The cumulative frequency curve shows the distribution of marks scored by 180 students in a Mathematics examination in 20…
  21. 21The table below shows the number of books read by 50 students in Class A in semester 1. Calculate an estimate for the me…
  22. 22A group of students recorded the volume of water using a measuring cylinder in an experiment. The mean volume of water r…
  23. 23The cumulative frequency curve shows the distribution of the wages per week of 80 workers in a factory. Use the curve to…
  24. 2421 girls took a 40-metre shuttle run test in January 2021. The timings are shown in the stem-and-leaf diagram. Find the…
  25. 2520 female shoppers went to buy their groceries. The amount of time (in minutes) each female shopper spent is shown in th…
  26. 26Given that x1,x2,x3,…,x10x_1, x_2, x_3, \dots, x_{10} are 10 unique numbers whose mean, xˉ\bar{x}, is 11.8 and standard deviation is…
  27. 27The table below summarises the times taken by female participants to complete a 10 km race. Given that the estimated mea…
  28. 28A group of students was asked to complete a class test. The time taken to complete the test was represented as shown in…
  29. 29A group of 50 patients had their blood pressure taken. The results are shown in the table below. State the median class…
  30. 30The distances travelled per litre of petrol of 50 cars manufactured in Factory X are shown in the table below. Calculate…
  31. 31The cumulative frequency graph shows the distribution of heights of a sample of 240 children from ABC Primary School. Fi…
  32. 32The cumulative frequency diagram shows the time in hours that each of the 120 adults from Town A spend on exercise in on…
  33. 33The times taken, in minutes, by 14 students to complete a Mathematics assignment are recorded. The results are shown in…
  34. 34Billy's basketball team scored the following points over the course of the first 11 games of the season: 42, 47, 53, 53,…
  35. 35The table shows the scores of 10 students in a Mathematics test. Write down the values of w, x, y and z. Answer w = ___…
  36. 36Five positive integers have a mean of 5, median of 4, mode of 3 and a range of 7. Find the five numbers. Answer ___
  37. 37The stem-and-leaf diagram shows the daily number of customers over a period of one month at Branch A of a Food Outlet. W…
  38. 38The time spent by 60 students on social media in a week is recorded. The cumulative frequency curve below shows the dist…