1. What type of graph best suits GPA of 500 students?
2. What type of graph best suits blood type of students in a classroom?

1 Date: 11/06/ 2020 American college of Technology Stat173 assignment 4 (Due date 28 /06/2020) 1. A social worker collected the following data on marital status for 25 persons. (M=married, S=single, W=widowed, D=divorced). Construct the frequency distribution and draw a bar graph M S D W D S S M M M W D S M M W D D S S S W W D D 2. What type of graph is appropriate for the following data? a. GPA of 500 students b. Blood type of students in statistics class 3. The following data gives the heights (to the nearest cm) of 40 students of your department. 144, 125, 149, 157, 132, 150, 164, 138, 146, 158, 140, 147, 168, 126, 138, 176, 136, 148, 142, 144, 163, 119, 154, 165, 146, 173, 161, 145, 135, 142, 142, 147, 135, 153, 140, 135, 150, 156, 128, 145 a. Construct a frequency distribution table giving frequencies, relative frequencies, cumulative relative frequencies and cumulative frequencies of two types (more than and less than type). 2 b. Create grouped frequency table (Tabulate the data into equal classes, the 1st class being 118 - 122). Also indicate the class boundaries and the class-marks. What is: i. Number of the class ii. The class width c. Plot histogram, frequency polygon and O give curve (greater and less than type) for the grouped frequency distributions. d. Compute i. Mean, Mode, Median for ungrouped data ii. Mean, Mode, Median for grouped data 4. Discusses some merits and demerits of: a. Mean b. Median c. mode 5. Solve the following and show all the necessary steps a. The average marks of three batches of students having 70, 50 and 30 students respectively are 50, 55 and 45. Find the average marks of all the 150 students, taken together. b. The mean of a certain number of observations is 50. If three items with values 52, 53 and 55 are added to this data, the mean rises to 51. Find the number of items in the original data. c. The sum of deviations of a certain numbers of observations measured from 5 is 50 and the sum of deviations of observations measured from 10 is -5. Find the number of observations and their mean. d. The mean weight of 100 students is found to be 55kg. It is later discovered that the frequency of the weight 50kg wrongly taken as 5 instead of 7. Calculate the correct mean. 6. The following data are the age of 40 adults. 30 45 34 35 35 47 24 28 25 57 25 37 32 30 21 36 50 31 26 27 44 45 58 49 22 44 48 23 49 56 39 29 57 35 22 35 43 35 21 40 Compute a. Range and quartile deviation b. The variance, standard deviations