Question

As part of a survey, 18 college graduates and 19 non-graduates were asked, "How many hours did you spend at your job last week?" The results are shown in the stem-and-leaf display below. Answer the questions that follow. Number of hours at work Graduates Non-graduates 9 2 2 7 6 6 5 4 4 2 0 3 2 2 3 3 8 5 5 421 402 4 6 7 8 9 9 3000 5 014 7 8 Key: 29 92 12 + 22 (a) What were the ranges for the two groups? X $ ? - Graduates Non-graduates (b) Which group had the higher median number of hours? Graduates Non-graduates The medians were the same (c) Which group had more responses in the 40s? Graduates Non-graduates Each had the same

Answer 1

Here, given Steam & leaf plot of no. of bours at works of 18 college graduates & 19 non- graduates ca) Ranges for the two groups range max - min. Graduates range: 53- 29 = 24 Non-graduates range 58-22 = 36 Ans: Graduates 24 Non-gooduates 36 Сь) ith 1871.). "Obs: median for graduates = size of f( 18 size of C9.53th obseovation gth obsto's cloth 18th = abs 87+0.5 (41-37) 3g - .:: median no. of hours for graduates 39

median for non o graduates th - size of 1971 J Observation. e size of 10th observation 46 = median number of hours for non- gouduates is 46 Which group had th higher median number of hours? Ans: o Non-graduates more responses which in the group had 40'S 2 Graduates have s responses in 40s & Non-graduates have 8 Jesponses in 40s Ans: Non-graduates