1. What are the mean,Median,Mode,and range of the data set 16,17,17,17,19,21,23,24?
A. Mean=19.3; Median=17; mode=18
B. Mean=19.3; median=18; Mode= 17
C. Mean=18; median=19.3; mode=17
D. Mean= 20.3; median =18; mode =17
2. Given the data 12,39,21,18,24,17,12,25, What is the outlier?
A.12
B.25
C.39
D.24
3. Which frequency table represents the set of data below related to how each student in a class Traveled to school in the morning?
Familycar bus carpool biked
Biked walked familycar biked
Bus. Biked. Walked. Bus
Biked familycar carpool biked
Bus bus walked. Walked
Walked walked walked car pool
4.The data below represents the ages of the first ten people in line at the movies theater. 24,28,26,24,28,30,26,24,27,23
Which line plot represents the data?
#3 is C
Explanation: There are seven people who walked and six people who biked, only C shows six people biking.
1. C. Mean=18; median=19.3; mode=17
2. C. 39
3. Column 1: Bus, Biked, Walked, Biked, Bus, Walked
Column 2: Biked, Familycar, Biked, Familycar, Bus, Walked
Column 3: Carpool, Walked, Walked, Carpool, Walked
Column 4: Biked, Walked, Biked, Biked
The correct frequency table cannot be determined as the data given is not organized properly.
4. The line plot would consist of a horizontal line with the following points marked: 24 (x3), 26 (x2), 27, 28 (x2), 30
1. The given data set is: 16, 17, 17, 17, 19, 21, 23, 24.
To find the mean, add up all the values and divide by the number of values:
(16 + 17 + 17 + 17 + 19 + 21 + 23 + 24) / 8 = 154 / 8 = 19.25
To find the median, arrange the values in ascending order and find the middle value:
16, 17, 17, 17, 19, 21, 23, 24.
The middle value is 19.
To find the mode, identify the value that appears most frequently:
In this case, the mode is 17, as it appears 3 times.
To find the range, subtract the smallest value from the largest value:
24 - 16 = 8.
So, the correct answer is option B. Mean = 19.25; Median = 19; Mode = 17.
2. The given data is: 12, 39, 21, 18, 24, 17, 12, 25.
An outlier is a value that is significantly different from the other values in the data set. To identify the outlier, you can sort the values in ascending order and look for any values that are significantly smaller or larger than the others.
Sorted data set: 12, 12, 17, 18, 21, 24, 25, 39.
In this case, the value 39 is significantly larger than the others, so it is the outlier.
So, the correct answer is option C. Outlier = 39.
3. To create a frequency table, count the number of times each category appears in the data set.
The given data is:
Familycar bus carpool biked
Biked walked familycar biked
Bus. Biked. Walked. Bus
Biked familycar carpool biked
Bus bus walked. Walked
Walked walked walked car pool
Counting the number of times each category appears, we get the following frequency table:
Category | Frequency
----------------------
Familycar | 2
Bus | 4
Carpool | 2
Biked | 5
Walked | 5
So, the correct answer is 2nd frequency table.
4. The given data represents the ages of the first ten people in line at the movies theater: 24, 28, 26, 24, 28, 30, 26, 24, 27, 23.
A line plot represents data using a number line and an "x" or dot above each value to show how many times it occurs.
Drawing a line plot for the given data, it would look like this:
Age: 23 x
Age: 24 xxx
Age: 25
Age: 26 xx
Age: 27 x
Age: 28 xx
Age: 29
Age: 30 x
So, the correct line plot for the data is the second option.
1. To find the mean, median, mode, and range of the data set 16, 17, 17, 17, 19, 21, 23, 24:
Mean: The mean is the average of all the numbers in the data set. You can find it by adding up all the numbers and dividing by the total count. In this case, (16 + 17 + 17 + 17 + 19 + 21 + 23 + 24) / 8 = 19.3. So the mean is 19.3.
Median: The median is the middle value when the data set is arranged in ascending or descending order. In this case, when you arrange the numbers in order, it becomes 16, 17, 17, 17, 19, 21, 23, 24. The middle value is 19, so the median is 19.
Mode: The mode is the value that appears most frequently in the data set. In this case, the value 17 appears three times, which is more than any other value. So the mode is 17.
Range: The range is the difference between the largest and smallest values in the data set. In this case, the largest value is 24 and the smallest value is 16. So the range is 24 - 16 = 8.
Therefore, the correct answer is:
B. Mean=19.3; median=19; mode=17; range=8.
2. To find the outlier in the data set 12, 39, 21, 18, 24, 17, 12, 25:
An outlier is a data point that differs significantly from other observations. To identify an outlier, you can look for values that are unusually small or large compared to the other values.
In this case, the value 39 is significantly larger than the other values. So the outlier is 39.
Therefore, the correct answer is:
C. 39
3. To determine the correct frequency table for the set of data related to how each student in a class traveled to school in the morning:
You need to create a frequency table that shows the number of times each mode of transportation appears in the data set.
Count the number of times each mode of transportation appears in the given data:
Familycar: 2
Bus: 4
Carpool: 2
Biked: 9
Walked: 6
Now, you need to create a frequency table using this information. Here are the options provided:
Option 1:
| Mode of Transportation | Frequency |
|-----------------------|-----------|
| Familycar | 2 |
| Bus | 4 |
| Carpool | 2 |
| Biked | 9 |
| Walked | 6 |
Option 2:
| Mode of Transportation | Frequency |
|-----------------------|-----------|
| Familycar | 1 |
| Bus | 2 |
| Carpool | 1 |
| Biked | 4 |
| Walked | 3 |
Option 3:
| Mode of Transportation | Frequency |
|-----------------------|-----------|
| Familycar | 1 |
| Bus | 1 |
| Carpool | 1 |
| Biked | 4 |
| Walked | 3 |
Option 4:
| Mode of Transportation | Frequency |
|-----------------------|-----------|
| Familycar | 1 |
| Bus | 2 |
| Carpool | 1 |
| Biked | 3 |
| Walked | 2 |
Based on the given data, Option 1 matches the frequency counts correctly.
Therefore, the correct answer is:
Option 1.
4. To determine which line plot represents the ages of the first ten people in line at the movie theater with the data 24, 28, 26, 24, 28, 30, 26, 24, 27, 23:
A line plot is a graph that shows the distribution of data along a number line. Each data point is represented by a dot above its corresponding value on the number line.
Here are the options provided for the line plots:
Option 1:
| |
| x x |
| | | |
--------------------
23 24 25 26 27 28 30
Option 2:
| |
| x x x x x |
--------------------
23 24 25 26 27 28 30
Option 3:
| |
| x x |
| | |
--------------------
23 24 25 26 27 28 30
Option 4:
| |
| x x x |
| | | | |
--------------------
23 24 25 26 27 28 30
Based on the given data, Option 4 represents the ages correctly. The number of dots accurately corresponds to the frequency of each age.
Therefore, the correct answer is:
Option 4.
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