### Understanding Quartiles and Box-and-Whisker PlotsThe data show the number of vacation days used by a sample of 20 employees in a recent year. Use technology to answer parts (a) and (b).**Data:**```9, 10, 3, 6, 8, 1, 4, 1, 9, 0, 1, 7, 3, 3, 9, 4, 1, 4, 9, 5```#### a. Find the data set's first, second, and third quartiles.- **Q1:** \[ Q1 = \_\_\_ \]- **Q2:** \[ Q2 = \_\_\_ \]- **Q3:** \[ Q3 = \_\_\_ \](Type integers or decimals. Do not round.)#### b. Draw a box-and-whisker plot that represents the data set.Choose the correct answer plot below. Note that different technologies will produce slightly different results.- **Option A:** ![Option A](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mP8/wcAAwAB/8EQkY0AAAAASUVORK5CYII=)- **Option B:** ![Option B](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mP8/wcAAwAB/8EQkY0AAAAASUVORK5CYII=)- **Option C:** ![Option C](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mP8/wcAAwAB/8EQkY0AAAAASUVORK5CYII=)To aid in the selection of the correct box-and-whisker plot, consider the following explanations of each plot's components:1. **Box-And-Whisker Plot (General Explanation)** - The box represents the interquartile range (IQR), which is the middle

The data shows the number of vacation days used by a sample of 20 employees.

Answered: The data show the number of vacation…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The data show the number of vacation days used by a sample of 20 employees in a recent year. Use technology to answer parts (a) and (b). a. Find the data set's first, second, and third quartiles. b. Draw a box-and-whisker plot that represents the data set. 1 5 4 3 6 0 5 3 4 5 3 1 10 7 8 6 1 2 89 a. Find the three quartiles. Q₁ = Q₂ = Q3 = (Type integers or decimals. Do not round.) b. Choose the correct answer plot below. Note that different technologies will produce slightly different results. O A. OB. Q Q C O C. Q
3. The data in the table shows the mileage that students commute to school. B. Find the weighted mean. Miles Midpoint Frequency 10 - 14 12 8 15 - 19 17 C. Draw a histogram for the data. 20 - 24 22 9 25 - 29 27 21 30 - 34 32 7 A. How many students are in the class?
A sales manager recorded the number of sales made by each of the 300 salespeople working athis chain of furniture outlet stores on a Saturday and created the following table.# Sales (bins) Proportion of salespeople in this bin0 – 3 0.053 – 6 0.156 – 9 0.30 9 – 12 0.3512 -15 0.15a. What is the unit of observation in this sample?b. What is the variable collected?c. Draw and label the histogram for this dataset.d. Which is the modal category?e. Calculate the proportion of the salespeople made 9 or more sales.f. Calculate the number of salespeople who made between 0 and 9 sales.
Determine if the data set is a population or a sample. The incomes of every employee at an amusement park.
10. Refer back to the histogram from question #4.(Attatched)a. Compute the mean number of shipping daysc. Write the 5-number summary for this data.d. Create box plot.
Find the range, median, and the first and third quartiles and the interquartile range for the dot plot below
Using the following stem & leaf plot, find the five number summary for the data by hand.1|1 32|1 3 63|1 34|2 3 8 95|5 6 6 7 86|1 4Min = Q1 = Med = Q3 = Max
Use the stem-and-leaf plot to list the actual data entries. What is the maximum data entry? What is the minimum data entry? Key: 2 | 7=27 27 3 2 4 1224779 5 011233 3 4 4 4 4 56 689 6 999 7 399 8 5 Choose the correct actual data entries below. O A. 27, 32, 41, 42, 42, 44, 47, 47, 49, 50, 51, 51, 52, 53, 53, 53, 54, 54, 54, 54, 55, 56, 56, 58, 59, 69, 69, 69, 73, 79, 79, 85 B. 27, 32, 41, 42, 44, 47, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, 69, 73, 79, 85 OC. 2.7, 3.2, 4.1, 4.2, 4.4, 4.7, 4.9, 5.0, 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.8, 5.9,6.9, 7.3, 7.9, 8.5 O D. 2.7, 3.2, 4.1, 4.2, 4.2, 4.4, 4.7, 4.7, 4.9, 5.0, 5.1, 5.1, 5.2, 5.3, 5.3, 5.3, 5.4, 5.4, 5.4, 5.4, 5.5, 5.6, 5.6, 5.8, 5.9, 6.9, 6.9, 6.9, 7.3, 7.9, 7.9, 8.5 The maximum data entry is The minimum data entry is
Determine which one of the following data sets would be right skewed. Age of students at a university. Age of death. Weights of baby elephants O Heights of teenagers at a high school
Refer back to the histogram from question #4. Compute the mean number of shipping days Compute the median number of shipping days Write the 5-number summary for this data. Create box plot.
Refer back to the histogram attached. a. Compute the mean number of shipping days b. Compute the median number of shipping days c. Write the 5-number summary for this data. d. Create box plot.
The data show the distance (in miles) from an airport of a sample of 22 inbound and outbound airplanes. Use technology to answer parts (a) and (b). a. Find the data set's first, second, and third quartiles. b. Draw a box-and-whisker plot that represents the data set. 3.3 4.7 3.3 2.5 5.3 5.6 3.6 5.3 3.5 4.4 4.5 4.7 5.7 3.9 4.2 4.8 3.4 5.4 3.2 3.2 5.8 4.8 a. Find the three quartiles. Q1 Q₂ Q3 (Type integers or decimals. Do not round.) b. Choose the correct box-and-whisker plot below. OA. 0 6 Q B. 3 S Q 5 OC. 3 6 9 Q N

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