Use the image to answer the question.
An illustration shows a number line with arrows on both ends ranging from 1 to 13 in one unit increments. Dots are plotted above the number line to indicate frequency. There is 1 dot over 2; 2 dots over 7; 4 dots over 8; 4 dots over 9; 3 dots over 10; 4 dots over 11; 3 dots over 12; and 2 dots over 13. There are no dots over the numbers 1, 3, 4, 5, and 6.
What number is the outlier in this dot plot?
(1 point)
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The number 2 is the outlier in this dot plot. It is the only number with just 1 dot above it, while all the other numbers with dots have at least 2 or more.
What are the mean and median of the following dataset?
5, 7, 11, 11, 6
(1 point)
To find the mean, you sum up all the numbers and divide by the total count:
Mean = (5 + 7 + 11 + 11 + 6) / 5
Mean = 40 / 5
Mean = 8
To find the median, you need to first arrange the numbers in ascending order:
5, 6, 7, 11, 11
Since there are an odd number of values, the median is the middle value, which in this case is 7.
Therefore, the mean is 8 and the median is 7 for the given dataset.
Lori asks some of her friends how many pets they have. The answers are as follows: 0, 6, 7, 0, 1, 1, 2, 0, 3, 1. What is the spread of this dataset?(1 point)
To find the spread of the dataset, you need to calculate the range. The range is the difference between the highest and lowest values in the dataset.
First, let's put the numbers in ascending order:
0, 0, 0, 1, 1, 1, 2, 3, 6, 7
The lowest value is 0 and the highest value is 7.
Range = Highest Value - Lowest Value
Range = 7 - 0
Range = 7
Therefore, the spread of the dataset is 7.
Use the image to answer the question.
An illustration shows a number line representing ages of children at the party, ranging from 1 to 6 in unit increments. Different numbers of circles are placed vertically above each number in the number line. The number of circles placed above each number in the number line are as follows: 3 circles above 1, 2 circles above 2, 3 circles above 3, 1 circle above 4, 2 circles above 5, and 1 circle above 6.
What are the mean and median of the data shown in the line plot?
(1 point)
Mean=
, Median=
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To calculate the mean of the ages shown in the line plot, we first need to determine the total sum of ages represented by the circles.
Total sum = (1 x 3) + (2 x 2) + (3 x 3) + (4 x 1) + (5 x 2) + (6 x 1)
Total sum = 3 + 4 + 9 + 4 + 10 + 6
Total sum = 36
Since there are a total of 3 + 2 + 3 + 1 + 2 + 1 = 12 circles, we can now calculate the mean:
Mean = Total sum / Total count
Mean = 36 / 12
Mean = 3
To find the median, we need to look for the middle value in the data set when arranged in ascending order:
1, 1, 2, 2, 3, 3, 4, 5, 5, 6
Since we have 10 values, the median will be the average of the two middle values, which are 3 and 3:
Median = (3 + 3) / 2
Median = 3
Therefore, the mean of the data shown in the line plot is 3 and the median is also 3.
Your friend finds the mean and median of the data set: 40, 38, 62, 70, 56, 41, 58, 48, 60, 45. Your friend says that the mean and median are both 52. Is your friend correct? If not, find the correct answer.(1 point)
Responses
My friend is correct.
My friend is correct.
My friend is not correct. The mean is 51.8. The median is 52.
My friend is not correct. The mean is 51.8. The median is 52.
My friend is not correct. The mean is 52. The median is 51.8.
My friend is not correct. The mean is 52. The median is 51.8.
My friend is not correct. The mean is 51.8. The median is 48.5.
My friend is not correct. The mean is 51.8. The median is 48.5.
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My friend is not correct. The mean is 51.8. The median is 52.
To find the mean:
Mean = (40 + 38 + 62 + 70 + 56 + 41 + 58 + 48 + 60 + 45) / 10
Mean = 518 / 10
Mean = 51.8
To find the median, you need to arrange the numbers in ascending order:
38, 40, 41, 45, 48, 56, 58, 60, 62, 70
Since there are 10 data points, the median is the average of the two middle values:
Median = (48 + 56) / 2
Median = 52
Therefore, the correct answers are that the mean is 51.8 and the median is 52.
Use the image to answer the question.
State of Birth Frequency
Texas 15
Oklahoma 8
Louisiana 10
New Mexico 5
Arkansas 12
Summarize the data using the mode. What is the mode of the data in the table?
(1 point)
Responses
Texas
Texas
Oklahoma
Oklahoma
Louisiana
Louisiana
Arkansas
Arkansas
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