Problem 3
Question
In the following set of test scores, what is the mode and what is the range? Test Scores: \(71,67,75,65,66,32,69,70,72,82,\) 73,68,75,68,75,78 (A) Mode: 68; Range: 75 (B) Mode: 69; Range: 50 (C) Mode: 75; Range: 70.5 (D) Mode: 75; Range: 50
Step-by-Step Solution
Verified Answer
(D) Mode: 75; Range: 50
1Step 1: Organize the data
Arrange the test scores in ascending order for easier analysis:
32, 65, 66, 67, 68, 68, 69, 70, 71, 72, 73, 75, 75, 75, 78, 82.
2Step 2: Count the occurrences of each score
Count how many times each score appears in the set to find the mode:
32 - 1 time,
65 - 1 time,
66 - 1 time,
67 - 1 time,
68 - 2 times,
69 - 1 time,
70 - 1 time,
71 - 1 time,
72 - 1 time,
73 - 1 time,
75 - 3 times,
78 - 1 time,
82 - 1 time.
The mode is the number that appears most often, which in this case is 75 with 3 occurrences.
3Step 3: Find the range
The range is the difference between the highest and lowest values in the set. In this set of test scores, the lowest value is 32, and the highest value is 82.
So the range is: \(82 - 32 = 50\).
Thus, the mode is 75, and the range is 50. The correct answer is (D) Mode: 75; Range: 50.
Other exercises in this chapter
Problem 1
Five subjects were weighed before and after an 8-week exercise program. What is the average amount of weight lost in pounds for all five subjects, rounded to th
View solution Problem 2
The height of six trees is measured. Is plant 6 taller than the median for all six trees? $$\begin{array}{|c|c|} \hline \text { Plant } & \begin{array}{c} \text
View solution Problem 4
Given the cross \(A a B b C c \times A a B b C c\), what is the probability of having an \(A A B b C C\) offspring? (A) \(\frac{1}{4}\) (B) \(\frac{1}{8}\) (C)
View solution Problem 5
Given the cross \(A a B b \times a a b b\), what is the probability of having an \(A a b b\) or aaBb offspring? (A) \(\frac{1}{2}\) (B) \(\frac{1}{4}\) (C) \(\f
View solution