Question

the stem-and-leaf plot below gives the test scores for mr. uzun’s english classes. there were 18 students in fourth period and 21 in fifth period. use the plot to answer the questions. score on mr. uzun’s english test fourth period fifth period 9 5 8 9 9 6 0 1 2 3 4 4 5 6 9 9 6 6 2 7 0 3 4 7 4 2 1 0 8 2 2 3 3 3 6 7 5 1 0 9 0 5 6 9 (a) what were the ranges of test scores for the two classes? fourth period square fifth period square (b) which class had the greater median test score? fourth period fifth period the medians were the same (c) which class had more test scores in the 70s? fourth period fifth period each had the same

Explanation:

Step1: Extract all scores for 4th period

Scores: 59, 69, 69, 66, 79, 76, 76, 72, 74, 87, 84, 82, 81, 80, 97, 95, 91, 90

Step2: Calculate 4th period range

Range = Max - Min = $97 - 59 = 38$

Step3: Extract all scores for 5th period

Scores: 58, 61, 62, 63, 64, 64, 65, 66, 69, 70, 73, 74, 82, 83, 83, 83, 86, 90, 95, 96, 99

Step4: Calculate 5th period range

Range = Max - Min = $99 - 58 = 41$

Step5: Find 4th period median

18 scores: median = $\frac{9^{th}+10^{th}}{2} = \frac{74+79}{2}=76.5$

Step6: Find 5th period median

21 scores: median = $11^{th}$ score = 73

Step7: Count 70s scores for 4th period

Scores: 70,71,72,74,75,76,76,79 → 8 scores

Step8: Count 70s scores for 5th period

Scores: 70,73,74 → 3 scores

Answer:

(a) Fourth period range: 38; Fifth period range: 41
(b) Fourth period
(c) Fourth period