Question

The test scores on a 100-point test were recorded for 20 students. 61 94 91 85 54 74 85 83 77 93 89 99 91 71 86 67 | 94 | 76 96 83 | (a) Use a stem and leaf plot to describe the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) 1,7 1,4,6,7 3,3,5,5,6,9 9 1,1,3,4,4,6,9 (b) Describe the shape and location of the scores. The distribution is mound shaped. The distribution is skewed to the left. The distribution is skewed to the right. The distribution is bimodal. (c) Is the shape of the distribution unusual? Can you think of any reason that the scores would have such a shape? The shape is not unusual and could be indicative of an easy test in which most students performed very well. The shape is highly unusual and is probably indicative of errors in the writing of the test since none of the students performed well. The shape is not unusual and could be indicative of two distinct groups of students those who understand the material and those who don't. The shape is not unusual and could be indicative of an extremely difficult test in which most students performed poorly. The shape is not unusual and could be indicative of a typical test in which most students scored around the average with a few students performing poorly and a few students performing very well.

Answer 1

(A) STEM and LEAF plot is given below

STEM	LEAF
5	4
6	1 7
7	1 4 6 7
8	3 3 5 5 6 9
9	1 1 3 4 4 6 9

your stem and leaf plot is exactly same, but you have included commas. Remove commas and include spaces between leaves.

(C) We can see that it is a left skewed distribution which is not unusual, but it seems that the test is very easy because all students performed very well

So, option A is correct