Use the table to answer the question.
Grades Frequency
50-64 2
65-74 4
75-80 1
81-85 5
85-94 8
95-100 6
The table represents the data in a histogram. In 1-2 sentences, describe the shape of the data and find the range of the data.
(2 points)
The data in the histogram is skewed to the right, with the majority of grades falling in the higher range. The range of the data is 50-100.
The following dataset represents the number of eggs laid in the chicken coop each day for the past week.
5, 8, 0, 3, 2, 7, 4
In 3-5 sentences, find the five-number summary, create a box plot, and describe the distribution of data using the box plot and explain what the distribution means.
(4 points)
The five-number summary for the dataset is: minimum = 0, Q1 = 2, median = 4, Q3 = 6.5, and maximum = 8.
To create a box plot, you would plot these values on a number line and draw a box from Q1 to Q3, with a line inside the box representing the median. Whiskers would extend from the box to the minimum and maximum values.
The box plot of the dataset shows that the data is positively skewed, with the majority of the number of eggs laid falling in the lower range. This distribution means that most days, the chickens laid fewer eggs, with a few days having higher egg production. The outliers at 0 and 8 suggest that some days had significantly lower or higher egg production compared to the rest of the week.
shorten this
To create a box plot, you would plot these values on a number line and draw a box from Q1 to Q3, with a line inside the box representing the median. Whiskers would extend from the box to the minimum and maximum values.
The box plot of the dataset shows that the data is positively skewed, with the majority of the number of eggs laid falling in the lower range. This distribution means that most days, the chickens laid fewer eggs, with a few days having higher egg production. The outliers at 0 and 8 suggest that some days had significantly lower or higher egg production compared to the rest of the week.
To create a box plot, plot the values on a number line with a box from Q1 to Q3 and a line inside representing the median. The box plot shows the data is positively skewed, with most days having lower egg production. Outliers at 0 and 8 indicate significantly low or high egg production days.
You are trying to find the average number of siblings that your classmates have. In 3-5 sentences, explain whether the distribution of the data you gathered is symmetrical or skewed and if the mean or median would be the most appropriate center. Also calculate and state the mean and median in your response. Finally, state the best measure of center for the number of siblings.
(4 points)
If the data on the number of siblings that my classmates have is gathered, and the distribution is skewed, it means that the data is not symmetrical and it is either positively or negatively skewed. In a positively skewed distribution, the tail is on the right side of the distribution, where there are a few extremely high values that would pull the mean towards them, making it an inappropriate measure of center. In this case, the median would be the most appropriate measure of center. To determine the most appropriate measure, you would calculate both the mean and median. Suppose we have data on the number of siblings for 10 classmates: 1, 2, 2, 2, 2, 3, 3, 3, 4, 5. The mean is (1+2+2+2+2+3+3+3+4+5)/10 = 2.7. The median would be the middle value when the data is ordered: 2.5. So, in this case, the median would be the best measure of center.
shorten this to only 4 sentences
If the data on the number of siblings that my classmates have is gathered, and the distribution is skewed, it means that the data is not symmetrical and it is either positively or negatively skewed. In a positively skewed distribution, the tail is on the right side of the distribution, where there are a few extremely high values that would pull the mean towards them, making it an inappropriate measure of center. In this case, the median would be the most appropriate measure of center. To determine the most appropriate measure, you would calculate both the mean and median. Suppose we have data on the number of siblings for 10 classmates: 1, 2, 2, 2, 2, 3, 3, 3, 4, 5. The mean is (1+2+2+2+2+3+3+3+4+5)/10 = 2.7. The median would be the middle value when the data is ordered: 2.5. So, in this case, the median would be the best measure of center.
If the distribution of the data on the number of siblings is skewed, indicating non-symmetry, the median would be the most appropriate measure of center as the mean can be influenced by extreme values. In the given example with a dataset of 1, 2, 2, 2, 2, 3, 3, 3, 4, 5, the mean is 2.7 and the median is 2.5. Hence, in this case, the median would be the best measure of center for the number of siblings.
Compare the graphs showing the number of pets each student in Mr. Bernhardt's and Ms. Daniel's classes has. In 3-5 sentences, state whether the distributions are symmetric and provide at least two similarities and two differences.
(4 points)