Answer :
Let's break down each part of the question using the provided solution and step-by-step mathematical calculations.
### Part a: How many people took the exam?
To determine how many people took the exam, we sum all the individuals in each score range:
- 10 people scored between 55 and 59
- 8 people scored between 60 and 64
- 7 people scored between 65 and 69
- 9 people scored between 70 and 74
- 8 people scored between 75 and 79
Summing these values together:
[tex]\[ 10 + 8 + 7 + 9 + 8 = 42 \][/tex]
So, 42 people took the exam.
### Part b: How many people scored between 60 and 64?
From the table, we see that:
[tex]\[ 8 \][/tex] people scored between 60 and 64.
So, 8 people scored between 60 and 64.
### Part c: What percent of people scored between 60 and 64?
We know that 8 people scored between 60 and 64 out of the total 42 people who took the exam.
To find the percentage:
[tex]\[ \left( \frac{8}{42} \right) \times 100 \][/tex]
[tex]\[ \approx 19.05 \][/tex]
Rounding to a whole number, 19% of the people scored between 60 and 64.
### Part d: How many people scored 64 or lower?
To determine how many people scored 64 or lower, we sum the counts for the score ranges 55-59 and 60-64:
[tex]\[ 10 \text{ (55-59)} + 8 \text{ (60-64)} = 18 \][/tex]
So, 18 people scored 64 or lower.
### Part e: What percent of people scored above 64?
To find the number of people who scored above 64, we need to subtract the number of people who scored 64 or lower from the total number of people:
[tex]\[ 42 \text{ (total people)} - 18 \text{ (scored 64 or lower)} = 24 \][/tex]
To find the percentage:
[tex]\[ \left( \frac{24}{42} \right) \times 100 \][/tex]
[tex]\[ \approx 57.14 \][/tex]
Rounding to a whole number, 57% of the people scored above 64.
### Summary:
a. 42 people took the exam.
b. 8 people scored between 60 and 64.
c. 19% of people scored between 60 and 64.
d. 18 people scored 64 or lower.
e. 57% of people scored above 64.
### Part a: How many people took the exam?
To determine how many people took the exam, we sum all the individuals in each score range:
- 10 people scored between 55 and 59
- 8 people scored between 60 and 64
- 7 people scored between 65 and 69
- 9 people scored between 70 and 74
- 8 people scored between 75 and 79
Summing these values together:
[tex]\[ 10 + 8 + 7 + 9 + 8 = 42 \][/tex]
So, 42 people took the exam.
### Part b: How many people scored between 60 and 64?
From the table, we see that:
[tex]\[ 8 \][/tex] people scored between 60 and 64.
So, 8 people scored between 60 and 64.
### Part c: What percent of people scored between 60 and 64?
We know that 8 people scored between 60 and 64 out of the total 42 people who took the exam.
To find the percentage:
[tex]\[ \left( \frac{8}{42} \right) \times 100 \][/tex]
[tex]\[ \approx 19.05 \][/tex]
Rounding to a whole number, 19% of the people scored between 60 and 64.
### Part d: How many people scored 64 or lower?
To determine how many people scored 64 or lower, we sum the counts for the score ranges 55-59 and 60-64:
[tex]\[ 10 \text{ (55-59)} + 8 \text{ (60-64)} = 18 \][/tex]
So, 18 people scored 64 or lower.
### Part e: What percent of people scored above 64?
To find the number of people who scored above 64, we need to subtract the number of people who scored 64 or lower from the total number of people:
[tex]\[ 42 \text{ (total people)} - 18 \text{ (scored 64 or lower)} = 24 \][/tex]
To find the percentage:
[tex]\[ \left( \frac{24}{42} \right) \times 100 \][/tex]
[tex]\[ \approx 57.14 \][/tex]
Rounding to a whole number, 57% of the people scored above 64.
### Summary:
a. 42 people took the exam.
b. 8 people scored between 60 and 64.
c. 19% of people scored between 60 and 64.
d. 18 people scored 64 or lower.
e. 57% of people scored above 64.
