Question

2. Below is the stem-plot of an exam score: Stem-and-leaf of First Exam N = 31

Stem Leaves

   5 | 58

   6 | 058

   7 | 00235558

   8 | 0001355557

   9 | 00023338

Unit=1

a. 2pts. Find the median and mode

b. 1pt. Find the range of the data values.

Answer 1

Stem & leaf pa

5 | 5 8

6 | 0 5 8

7 | 0 0 2 3 5 5 5 8

8 | 0 0 0 1 3 5 5 5 5 7

9| 0 0 0 2 3 3 3 8

Data is

55, 58, 60 , 65 , 68 , 70 , 70 ,72 , 73 , 75 , 75 , 75 , 78 , 80 , 80 , 80 , 81 , 83 , 85 , 85 , 85, 85,87 , 90 ,90 , 90 ,92 ,93,93,93,98

N= 31

1) Median :-

Median =( n+1 / 2) th observation = (31+1) / 2 = 32/2 = 16

16th observation is median.

16 th observation is 80.

Median = 80

2) Mode:-

The mode is the most occurred observation.

The mode occurred observation in the data is 85 which occurs 4 times

Mode = 85

b)

range = maximum - minimum

= 98 - 55

= 43

Range = 43