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Select the correct answer.
Fiona has to plot a histogram of the given data.

82, 83, 89, 67, 65, 88, 66, 69, 83, 81, 94, 68, 82, 69, 86, 83, 88, 62, 64, 93

Which frequency table should she use for the histogram?
A.
Interval 60-70 70-80 80-90 90-100
Frequency 8 0 10 2
B.
Interval 56-63 63-70 70-77 77-84 84-91 91-98
Frequency 1 7 0 5 5 2
C.
Interval 50-70 70-80 80-85 85-90 90-100
Frequency 8 0 6 4 2
D.
Interval 60-75 75-90 90-105
Frequency 8 10 2
Reset Next



Answer :

Answer:

To determine the correct frequency table for the given data, we need to count the number of data points that fall within each interval specified in the options.

Here is the given data:

82, 83, 89, 67, 65, 88, 66, 69, 83, 81, 94, 68, 82, 69, 86, 83, 88, 62, 64, 93

### Option A:

- Interval 60-70: Count the numbers within this range.

 - Numbers: 67, 65, 66, 69, 68, 69, 62, 64

 - Frequency: 8

- Interval 70-80: Count the numbers within this range.

 - Numbers: None

 - Frequency: 0

- Interval 80-90: Count the numbers within this range.

 - Numbers: 82, 83, 89, 83, 81, 82, 83, 86, 88, 88

 - Frequency: 10

- Interval 90-100: Count the numbers within this range.

 - Numbers: 94, 93

 - Frequency: 2

### Option B:

- Interval 56-63: Count the numbers within this range.

 - Numbers: 62

 - Frequency: 1

- Interval 63-70: Count the numbers within this range.

 - Numbers: 67, 65, 66, 69, 68, 69, 64

 - Frequency: 7

- Interval 70-77: Count the numbers within this range.

 - Numbers: None

 - Frequency: 0

- Interval 77-84: Count the numbers within this range.

 - Numbers: 82, 83, 83, 81, 82, 83

 - Frequency: 6

- Interval 84-91: Count the numbers within this range.

 - Numbers: 89, 88, 86, 88

 - Frequency: 4

- Interval 91-98: Count the numbers within this range.

 - Numbers: 94, 93

 - Frequency: 2

### Option C:

- Interval 50-70: Count the numbers within this range.

 - Numbers: 67, 65, 66, 69, 68, 69, 62, 64

 - Frequency: 8

- Interval 70-80: Count the numbers within this range.

 - Numbers: None

 - Frequency: 0

- Interval 80-85: Count the numbers within this range.

 - Numbers: 82, 83, 83, 81, 82, 83

 - Frequency: 6

- Interval 85-90: Count the numbers within this range.

 - Numbers: 89, 86, 88, 88

 - Frequency: 4

- Interval 90-100: Count the numbers within this range.

 - Numbers: 94, 93

 - Frequency: 2

### Option D:

- Interval 60-75: Count the numbers within this range.

 - Numbers: 67, 65, 66, 69, 68, 69, 62, 64

 - Frequency: 8

- Interval 75-90: Count the numbers within this range.

 - Numbers: 82, 83, 89, 83, 81, 82, 83, 86, 88, 88

 - Frequency: 10

- Interval 90-105: Count the numbers within this range.

 - Numbers: 94, 93

 - Frequency: 2

After checking all options, the frequency table that matches the data provided is:

**D.**

- Interval 60-75: 8

- Interval 75-90: 10

- Interval 90-105: 2

So the correct answer is:

**D.**

Step-by-step explanation: