Heights (inches) Frequency
48 5
49 2
50 0
51 3
52 6
53 5
54 4
55 2
56 0
57 1
A frequency table is shown for the height's of 6th graders in a class at Oakville Elementary School. What is the probability that a sixth grader in this class is 52 inches tall?
A) 0.14
B) 0.21
C) 0.25
D) 0.28
a?
Probability that a student is x inches tall = (Number of students who are x inches tall)/(Total number)
In this case, the total number is the sum of all individual frequencies, which is 28
The number of students who are 52 inches tall = 6
Probability that a student is 52 inches tall = 6/28 = 3/14
Convert this to decimal, which of the answers do you get?
So the answer is b?
yes
To find the probability that a sixth grader in this class is 52 inches tall, we need to determine the proportion of students with a height of 52 inches compared to the total number of students in the class.
To do this, we first need to calculate the total number of students in the class. We can do this by adding up the frequencies in the frequency table:
5 + 2 + 0 + 3 + 6 + 5 + 4 + 2 + 0 + 1 = 28
Next, we need to determine the frequency of students with a height of 52 inches. According to the frequency table, the frequency for 52 inches is 6.
Now, we can calculate the probability by dividing the frequency of students with a height of 52 inches by the total number of students in the class:
Probability = Frequency of 52 inches / Total number of students = 6 / 28 = 0.2143
Rounding to two decimal places, the probability is approximately 0.21.
Therefore, the correct answer is:
B) 0.21