Example 27. The distribution of monthly wages (in Rs.) of 40 workers in a factory is given below: Monthly wages No of workers Monthly wages No. of workers 210 – 230 4 290 – 310 5 230 – 250 7 310 – 330 250 – 270 5 330 – 350 4 270 – 290 Draw a frequency polygon.
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- 1. Graph the frequency polygon of the following scores of student in a quiz (refer to Table A) 2. Now increase the number of students to 15. Observe what will happen to the shape of the graph. (refer to Table B)Example 2 Draw a frequency polygon for the following frequency distribution. C. I.: 10-20 20-30 30-40 40-60 Frequency: 6. 8.Problems 19-21. Use the frequency distribution in Table 1 to answer the questions. Table 1. Frequency Distribution Class Frequency 249-263 10 264-278 19 279-293 22 294-308 17 309-323 12 19. What is the class width? 20. What is the midpoint of the first class? 21. What are the class boundaries for the first class?
- #1: DIRECTION: Accomplish each step in solving the Grouped Frequency Distribution. The height (inches) of the 44 grade 5 pupils' is shown below. Construct a stem and leaf plot and analyze the data. 60 52 48 64 61 59 55 59 67 55 62 61 55 59 60 61 58 57 67 53 59 59 56 54 51 62 59 58 63 50 59 59 49 54 52 54 55 58 54 64 51.Here is a data set: Data range 210-229 230-249 250-269 270-289 290-309 214 217 219 223 228 238 241 245 247 253 253 254 X Construct a frequency distribution table for this data set. • Number of classes: 10 • Use a "nice" class width, such as a multiple of 5 or 10. • Label classes using interval notation. • For example, if the class is 70-79, label it as [70,79]. The lower class limit should be a multiple of the class width. • • For example, if the class width is 10, the lower class limit should be a number like 30 or 40 (depending on the data). X 5 263 265 286 291 X 4 50 11 250 X 2 256 X 8 10% Frequency 28 266 269 287 290 291 303 305 307 56 259 262 X10
- Consider the following frequency table representing the distribution of hours students spend on homework in a week. Hours Students Spend on Homework in a Week Answer Class 10-15 16-21 22-27 28-33 34-39 Frequency 3 Step 2 of 2: Determine the relative frequency for the third class as a simplified fraction. 3 9 3 9The table below displays marks of 120 students in mathematics at a faculty of science. Construct a frequency .polygon for their marks Marks Number of Students 30-35 10 36-41 12 42-47 14 48-53 10 54-59 20 60-65 24 66-71 18 72-77 8 78-83 4Construct a sub divided bar diagram
- Q 4 (a) Construct the frequency histogram, frequency Polygon, Cumulative frequency graph and Pie graph from the following data: C. I. 0-10 10-20 20-30 30-40 40-50 50-60 f 2 4 7 11 6 3 Q4 (b) Construct the frequency histogram, frequency Polygon, and Pie graph from the following data are of 20 students grades: A, C, B, D, A, C, D, B, C, C C, B, B, F, D, C, B, C, F, A Q4 (c) Find the mean, variance, standard deviation and coefficient of variation for the following data: 25, 17, 30, 20, 40, 15, 25, 30, 15, 20.Here is a data set: 203 231 233 238 257 263 275 285 285 286 302 311 313 314 319 323 326 328 336 339 362 364 366 378 390 390 422 447 Construct a frequency distribution table for this data set. Number of classes: 10 Use a "nice" class width, such as a multiple of 5 or 10. Label classes using interval notation. For example, if the class is 70-79, label it as [70,79]. The lower class limit should be a multiple of the class width. For example, if the class width is 10, the lower class limit should be a number like 30 or 40 (depending on the data). Data range Frequency