Question

example 2) the box plot below shows the test results of a math class. test scores (as %) for 9th period 38 72 88 96 102 a) what was the high score on the test? b) what percent of the class scored above a 72? c) what was the median score on the test? d) what percent of the class scored between 88 & 96? e) is the graph skewed? if so, indicate the direction of skewness. f) what is the interquartile range (iqr = q3 - q1)? example 3) test scores for two algebra 1 classes are shown below: test scores for mrs. bradleys algebra 1 classes class 1: class 2: min min q1 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100

Explanation:

Step1: Identify high - score

The end of the right - most whisker represents the high score. In the given box - plot, the high score is 102.

Step2: Analyze position of 72

72 is the first quartile (Q1). 75% of the data lies above the first quartile. So, 75% of the class scored above 72.

Step3: Locate median

The line inside the box represents the median. Here, the median score is 88.

Step4: Determine percentage between 88 and 96

88 is the median (Q2) and 96 is the third quartile (Q3). The percentage of data between Q2 and Q3 is 25%. So, 25% of the class scored between 88 and 96.

Step5: Check for skewness

The distance from the median to the maximum (102 - 88 = 14) is greater than the distance from the minimum to the median (88 - 38=50). The graph is skewed right.

Step6: Calculate IQR

Q1 = 72, Q3 = 96. IQR=Q3 - Q1 = 96 - 72=24

Answer:

a) 102
b) 75%
c) 88
d) 25%
e) Yes, skewed right
f) 24