QUESTION #1 (15 marks)

The human rights commission has determined that reading instruction in elementary schools is insufficient at ensuring all children become able and proficient at reading. The commission found that students with learning disabilities were left behind because teachers were not differentiating the way they taught students to read. All teachers are now required to assess their students on a standardized reading comprehension scale and then make a specific reading intervention strategy for every child. In a small school with two grade 2 classrooms, the assessment scores are as follows:

47,10, 31, 25, 20, 2, 11, 31, 25, 21, 44, 14, 15, 26, 21, 41, 14, 16, 26, 21, 7, 30, 17, 27, 24, 6, 30, 16, 29, 24, 35, 32, 15, 29, 23, 38, 33, 19, 28, 20, 35, 34, 18, 29, 21, 36, 32, 16, 27, 20

Using this data,

a. Construct a frequency table (4 marks) b. Calculate all measures of central tendency (3 marks) c. Calculate the standard deviation (2 marks) d. Graph the data (2 marks) e. Describe the distribution (1 mark) f. Given the shape and type of data, which measure of central tendency would you be more likely to report? (1 mark) Why? (2 marks)