Domanda del libro di testo
Drawing a Box-and-Whisker Plot In Exercises 15–18,
(b) draw a box-and-whisker plot that represents the data set.
39 36 30 27 26 24 28 35 39 60 50 41 35 32 51
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Ch. 2 - Descriptive Statistics
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470
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TOC.tableOfContents
- Ch. 1 - Introduction to Statistics87
- Ch. 2 - Descriptive Statistics176
- Ch. 3 - Probability184
- Ch. 4 - Discrete Probability Distributions102
- Ch. 5 - Normal Probability Distributions183
- Ch. 6 - Confidence Intervals154
- Ch. 7 - Hypothesis Testing with One Sample165
- Ch. 8 - Hypothesis Testing with Two Samples134
- Ch. 9 - Correlation and Regression87
- Ch. 10 - Chi-Square Tests and the F-Distribution87
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Capitolo 2, Problema 2.5.16b
Drawing a Box-and-Whisker Plot In Exercises 15–18,
(b) draw a box-and-whisker plot that represents the data set.
171 176 182 150 178 180 173 170 174 178 181 180
Guida verificata passo dopo passo1
Step 1: Organize the data set in ascending order. The given data set is: 150, 170, 171, 173, 174, 176, 178, 178, 180, 180, 181, 182.
Step 2: Identify the five-number summary of the data set. This includes the minimum value, first quartile (Q1), median (Q2), third quartile (Q3), and maximum value. Use the ordered data to calculate these values.
Step 3: Calculate the quartiles. For Q1 (lower quartile), find the median of the lower half of the data (excluding the overall median). For Q3 (upper quartile), find the median of the upper half of the data (excluding the overall median).
Step 4: Draw a number line that includes the range of the data. Mark the five-number summary (minimum, Q1, median, Q3, maximum) on the number line.
Step 5: Construct the box-and-whisker plot. Draw a box from Q1 to Q3 with a line at the median. Extend whiskers from the box to the minimum and maximum values.
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Box-and-Whisker Plot
A box-and-whisker plot is a graphical representation of a data set that displays its minimum, first quartile, median, third quartile, and maximum. The 'box' shows the interquartile range (IQR), which contains the middle 50% of the data, while the 'whiskers' extend to the smallest and largest values within 1.5 times the IQR from the quartiles. This plot helps visualize the distribution, central tendency, and variability of the data.
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Percorso guidato
07:38
Residuals and Residual Plots
Quartiles
Quartiles are values that divide a data set into four equal parts, each containing 25% of the data. The first quartile (Q1) is the median of the lower half of the data, the second quartile (Q2) is the overall median, and the third quartile (Q3) is the median of the upper half. Understanding quartiles is essential for constructing a box-and-whisker plot, as they determine the boundaries of the box and the placement of the median.
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Percorso guidato
04:51Find 5-Number Summary - TI-84 Calculator
Interquartile Range (IQR)
The interquartile range (IQR) is a measure of statistical dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3). It is calculated as IQR = Q3 - Q1 and indicates the spread of the middle 50% of the data. The IQR is crucial for identifying outliers and is used to determine the length of the box in a box-and-whisker plot, providing insight into the variability of the data set.
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Percorso guidato
05:45Find 5-Number Summary - TI-84 Calculator Example 1
Pratica correlata
Domanda del libro di testo
Drawing a Box-and-Whisker Plot In Exercises 15–18,
(b) draw a box-and-whisker plot that represents the data set.
4 7 7 5 2 9 7 6 8 5 8 4 1 5 2 8 7 6 6 9
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Domanda del libro di testo
Hourly Earnings Refer to the data set in Exercise 26 and the box-and-whisker plot you drew that represents the data set.
b. What percent of the employees made more than \$23.39 per hour?
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Domanda del libro di testo
What Would You Do? You work at a bank and are asked to recommend the amount of cash to put in an ATM each day. You do not want to put in too much (which would cause security concerns) or too little (which may create customer irritation). The daily withdrawals (in hundreds of dollars) for 30 days are listed. 72 84 61 76 104 76 86 92 80 88 98 76 97 82 84 67 70 81 82 89 74 73 86 81 85 78 82 80 91 83
If you put \$9000 in the ATM each day, what percent of the days in a month should you expect to run out of cash? Explain.
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Domanda del libro di testo
Use the relative frequency histogram to
approximate the greatest and least relative frequencies.
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Domanda del libro di testo
Extending Concepts
Golf The distances (in yards) for nine holes of a golf course are listed.
336 393 408 522 147 504 177 375 360
b. Convert the distances to feet. Then rework part (a).
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