Is it true the Nile river flooded the posting grains in the Nile Delta allowing crops to grow in Egypt’s arid climate
Yes, it is true that the flooding of the Nile River played a significant role in allowing crops to grow in Egypt's arid climate, particularly in the Nile Delta region. The annual flood of the Nile brought rich silt and nutrients that replenished the soils, making them highly fertile for agriculture. This natural irrigation system allowed the ancient Egyptians to sustainably cultivate a variety of crops, including grains such as wheat and barley. The floodwaters also provided a steady water supply for irrigation during the dry season, making agriculture possible even in the arid climate of Egypt.
What are the mean and median of the following dataset?
5, 7, 11, 11, 6
(1 point)
Mean of the dataset =
.
Median of the dataset =
.
To find the mean of a dataset, you sum up all the values and divide by the total number of values.
Mean of the dataset = (5 + 7 + 11 + 11 + 6) / 5 = 40 / 5 = 8
To find the median of a dataset, you arrange the values in ascending order and find the middle value. If there is an even number of values, you take the average of the two middle values.
Arranging the dataset in ascending order: 5, 6, 7, 11, 11
Median of the dataset = 7
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 a dataset, you need to calculate the range.
The range is the difference between the maximum and minimum values in the dataset.
Arranging the dataset in ascending order: 0, 0, 0, 1, 1, 1, 2, 3, 6, 7
Minimum value = 0
Maximum value = 7
Spread of the dataset = Maximum value - Minimum value = 7 - 0 = 7
Use the image to answer the question.
An illustration shows a bar graph. The x-axis ranges from 50 to 54 in one unit increments. The y-axis ranges from 0 to 4 in one unit increments. The bar values are 4 units for 50; 0 units for 51; 2 units for 52; 3 units for 53; and 1 unit for 54.
Identify the gap in the bar graph. Which number represents the gap in the data?
(1 point)
Responses
49
49
54
54
52
52
51
51
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Based on the information provided, the gap in the bar graph can be identified by observing the missing bar. In this case, the missing bar corresponds to the value of 51 on the x-axis. Therefore, 51 represents the gap in the data.
Which dot plot includes an outlier?(1 point)
Responses
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 1; 4 dots over 2; 2 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; 3 dots over 7; and 1 dot over 8. There are no dots over 9, 10, 11, 12, or 13.
Image with alt text: 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 1; 4 dots over 2; 2 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; 3 dots over 7; and 1 dot over 8. There are no dots over 9, 10, 11, 12, or 13.
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 are 2 dots over 1; 4 dots over 2; 0 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; and 3 dots over 7. There are no dots over 3, 8, 9, 10, 11, 12, or 13.
Image with alt text: 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 are 2 dots over 1; 4 dots over 2; 0 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; and 3 dots over 7. There are no dots over 3, 8, 9, 10, 11, 12, or 13.
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 are 3 dots over 4; 2 dots over 5; 4 dots over 6; 1 dot over 7; 4 dots over 8; 3 dots over 9; 4 dots over 10; and 2 dots over 11. There are no dots over 1, 2, 3, 12, or 13.
Image with alt text: 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 are 3 dots over 4; 2 dots over 5; 4 dots over 6; 1 dot over 7; 4 dots over 8; 3 dots over 9; 4 dots over 10; and 2 dots over 11. There are no dots over 1, 2, 3, 12, or 13.
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 are 2 dots over 1; 4 dots over 2; 2 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; 3 dots over 7; and 1 dot over 13. There are no dots over 8, 9, 10, 11, or 12.
Image with alt text: 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 are 2 dots over 1; 4 dots over 2; 2 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; 3 dots over 7; and 1 dot over 13. There are no dots over 8, 9, 10, 11, or 12.
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Based on the information provided, the dot plot that includes an outlier is the first one:
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 1; 4 dots over 2; 2 dots over 3; 4 dots over 4; 3 dots over 5; 4 dots over 6; 3 dots over 7; and 1 dot over 8. There are no dots over 9, 10, 11, 12, or 13.
Describe the dataset. Which histogram is symmetrical?(1 point)
Responses
A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 4 at range 12 to 14; 5 at range 14 to 16; 5 at range 16 to 18; 1 at range 18 to 20; 2 at range 20 to 22.
Image with alt text: A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 4 at range 12 to 14; 5 at range 14 to 16; 5 at range 16 to 18; 1 at range 18 to 20; 2 at range 20 to 22.
A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 2 at range 18 to 20; 1 at range 20 to 22.
Image with alt text: A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 2 at range 18 to 20; 1 at range 20 to 22.
A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 3 at range 12 to 14; 5 at range 14 to 16; 2 at range 16 to 18; 2 at range 18 to 20; 2 at range 20 to 22.
Image with alt text: A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 3 at range 12 to 14; 5 at range 14 to 16; 2 at range 16 to 18; 2 at range 18 to 20; 2 at range 20 to 22.
A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 3 at range 18 to 20; 5 at range 20 to 22.
Image with alt text: A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 3 at range 18 to 20; 5 at range 20 to 22.
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