Identify any outliers from the following data:
{eq}7, 8, 2, 4, 5, 65, 9, 10, 3, 11, 71, 15, 16, 19, 17 {/eq}
Question:
Identify any outliers from the following data:
{eq}7, 8, 2, 4, 5, 65, 9, 10, 3, 11, 71, 15, 16, 19, 17 {/eq}
Outliers
An outlier is an extremely large and extremely small value in the data set. The first quartile, third quartile, and interquartile values are used to detect the outliers.
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answerThe first quartile is calculated as follows.
{eq}\begin{align*} {Q_1} &= {\left( {\dfrac{{n + 1}}{4}} \right)^{th}}value\\ &= {\left( {\dfrac{{15 +...
See full answer below.
Ask a question
Our experts can answer your tough homework and study questions.
Ask a question Ask a questionSearch Answers
Learn more about this topic:
Get access to this video and our entire Q&A library
Outlier in Statistics | Definition & Examples
from
Chapter 13 / Lesson 8
9.4K
What is an outlier? This lesson presents the concept of outliers in statistics, displays examples, and shows how to find them.
Related to this Question
- Check the following data set for any outliers. 121,125,130,127,123,122,121.
- Check the following data set for any outliers 121,125,130,127,123,130,122,121.
- Check each data set for outliers. a) 506, 511, 517, 514, 400, 521. b) 3, 7, 9, 6, 8, 10, 14, 16, 20, 12.
- Identify any outliers in the data set and list them. Explain why they qualify as outliers or, if none, explain the reasoning for concluding there are no outliers. 35, 37, 38, 39, 52, 67, 81, 85, 85, 88.
- 315 335 375 393 401 407 420 430 435 447 326 361 391 400 406 411 426 430 435 501 Are there any outliers in the data set above? If so, where are they? Show your work
- Given 315, 335, 375, 393, 401, 407, 420, 430, 435, 447, 326, 361, 391, 400, 406, 411, 426, 430, 435, 501, are there any outliers in the data set above? If so, where are they? Show your work.
- Make a scatter plot of the following data. How many outliers are there?
- In a descriptive statistical analysis, what is an outlier?
- Identify the outlier in the set of values and then describe how the outlier affects the mean of the data. -10, 32, 3, 12, 20, 30, 36, 32, 74, 26, 16, 7, 20, 33
- Use the accompanying data set to complete the following actions. (a) Find the quartiles. (b) Find the interquartile range. (c) Identify any outliers. 41, 53, 35, 44, 42, 38, 40, 48, 43, 38, 34, 56,
- The following data is obtained: 55 67 89 92 36 77 42 38 97 64 58 90 88 Does the data appear to have any outliers? Explain why or why not.
- For the data set below, find the upper outlier boundary. 160, 176, 193, 144, 163, 146, 152, 158, 154, 184, 129
- Which of the following is not a strength of the median? a) The median is a reliable statistic to use if your data set has outliers because it is rarely influenced by these extreme values. b) The median factors in all of the available data. c) Because it s
- Identify the measure of central tendency that is most likely to be negatively affected by outliers.
- If there are 1000 data points and 10 outliers, would the outliers have a significant impact on the mean?
- Use the dataset below to answer the following questions. {1, 3, 4, 4, 5, 5, 5, 7, 8, 12, 15, 22, 27, 37, 46} What is the median?
- Consider the following data set. 12, 31, 23, 8, 23, 11, 22, 17, 28, 23, 23, 16, 2, 40, 16, 15, 28, 35, 11, 33, 1, 8 a. Find the five-number summary. b. Build a box plot. c. Are there any outliers in this data set?
- How do you determine if a point on a scatterplot is an outlier?
- How do outliers and skewness affect data analysis in detail?
- Which measure of central tendency is most likely to be negatively affected by outliers?
- Which of the following statements is true about outliers in linear regression? a) Linear regression is sensitive to outliers. b) Linear regression is not sensitive to outliers. c) It depends. d) None of the above.
- Explain the difference between an outlier and an influential point. Can a data piece be classified as both?
- What is the name for the kind of model that is more robust to outliers?
- Explain what an outlier is and how does it effects the these three measures, mode, mean median.
- For this group of data, what is the best measure of central tendency? 115 135 122 169 79 85 181 111 107 89 125 72 105 189 118
- For the data set: 1, 9, 9, 11, 13, 14, 15, 15, 18, 20, 21, 23, 25, 26, 27, 27, 30, 34 a number is a suspected outlier if it is more than what number? (Round to the nearest tenth)
- Given the following data set: 15, 26, 26, 27, 27, 28, 30, 31, 32, 32, 33, 33, 33, 34, 34, 35, 36, 37, 38, 39, 40, 40, 41, 41, 42, 42, 43, 44, 45, 60, 65 Make a box and whisker diagram using the fences and show the outliers.
- What can you say about a data set when the box in the box plot is very wide but the whiskers do not go out very far from the box, and why is it important to identify outliers?
- In the data set below, which value constitutes an outlier? |715.798|721.544|703.534|710.786 |698.222|703.499|667.349|331.497 |687.819|668.167|650.374|688.491
- Consider the following midterm scores from a statistics course: 100, 98, 96, 94, 92, 90, 88, 86, 84, 82, 80, 78, 76, 74, 12. There is an outlier and you want to exclude the effects of this outlier on the measure of central tendency. What is the most appro
- Which of the following is not true about a scatter plot? (a) Every point on the graph is a variable. (b) We use scatter plots to detect trends. (c) Every point on the graph represents an outlier. (d) Every point on the graph represents one individual.
- What data is inappropriate for a regression analysis? A) Outliers don't exist B) You have multiple input variables C) Residuals that form a pattern when plotted D) The correlation coefficient is less than 1
- Briefly discuss the two factors that can cause a statistical outlier to be influential in regression analyses.
- Consider the following data: 5, 11, 6, 3, 15, 14. Determine the mean of the data.
- Which of the following are measures of how heavily an outlier affects the estimated regression line? A. DFITS B. DFBETA C. both A and B D. neither A nor B
- What is the relationship between percentiles and quartiles?
- Would you eliminate outliers from a set of data when calculating your correlation coefficient (r)?
- Which boxplot has the largest variability?
- A modified boxplot is a boxplot that uses symbols to identify outliers. The horizontal line of a modified boxplot extends as far as the minimum data entry that is not an outlier and the maximum data entry that is not an outlier. (a) Identify any outliers
- When you have an outlier in your data (a value that is very far from the mean and outside the rest of data) do you throw it out? What is your opinion about outlying data? When should it be kept in the analysis and when should it be discarded?
- (a) What is a scatterplot? (b) What is an outlier? (c) What is a regression line?
- A scatterplot and regression line can be used for all of the following except: a. to determine if any (x, y) pairs are outliers. b. to predict y at a specific value of x. c. to estimate the average y at a specific value of x. d. to determine if a change i
- What data is inappropriate for a regression analysis?
- Which of the followings is correct in diagnosing a multiple linear regression? Choose all correct answers. a. Outliers can be checked using the residual plot versus the predicted values. b. The Cook
- Make a stem plot for the following data. Calculate the mean, median and IQR for the following data. 32 24 67 24 33 43 47 20 31 42
- What two aspects of the data determine which measure of central tendency to use?
- Use the given dataset to answer the following questions: a) Determine the ANOVA tables for the following:
- What characteristic of a data set can be better understood by constructing a histogram? (a) Shape (b) Variation (c) Center (d) Outliers
- Residuals with large magnitudes can be used to locate data points that lie far apart from the rest of the data points, which are called: a. deviants b. misfits c. outliers d. defectives
- Interpret the value for the y intercept b_0 of the regression line for the following data.
- Determine the mode for the following data set: | X | Data | 1 | 7 | 2 | 7 | 3 | 7 | 4 | 7 | 5 | 7 | 6 | 7 | 7 | 7 | 8 | 7 | 9 | 7 | 10 | 7 | Mean | 7
- Determine the mode for the following data set: | X | Data | 1 | 9 | 2 | 5 | 3 | 8 | 4 | 6 | 5 | 12 | 6 | 2 | 7 | 13 | 8 | 1 | 9 | 10 | 10 | 4 | Mean | 7
- Determine the mode for the following data set: | X | Data | 1 | 8.5 | 2 | 5.5 | 3 | 7 | 4 | 9 | 5 | 5 | 6 | 7 | 7 | 8 | 8 | 6 | 9 | 9.5 | 10 | 4.5 | Mean | 7
- Using the data set provided, determine the following: a. the smallest value, the largest value and the range b. the 1st quartile, the 3rd quartile and the interquartile range
- What is the slope of the median-median line for the dataset in this table? |X |11 |6 |34 |20 |10 |46 |30 |y |22 |2 |14 |35 |1 |24 |41
- What is the sample correlation for the following data? Round your answer to 2 decimal places.
- What is the sample size for the data set used for regression analysis?
- What are 3 statistics measuring spread of data?
- Which of the following methods of graphing sample data uses fences to detect outliers? (a) stem-and-leaf display (b) box-and-whiskers display (c) dot plot (d) histogram
- State whether the following statement is True or False. The graph of the regression line is not affected by the outlier.
- Could the third quartile be greater than the first quartile in a data set consisting of 1,000 values that are all different? Explain.
- If the mean of the data is 20, which of the following would most likely be the shape of the data, if plotted on a dot plot or histogram? a. symmetric b. right (positively) skewed c. Left (negatively) skewed
- Compute the coefficient of correlation for the following set of data.
- Given the following data set X: __ X = 25, 31, 10, 27, 15, 24, 27, 35, 39, 17__ The interquartile range values lies between _____.
- Calculate a Pearson's correlation for the following set of Data: X: 2, 1, 2, 3, 4, 4, 7, 7, 8 y: 4, 7, 6, 9, 6, 8, 7, 10, 11
- Is logistic regression sensitive to outliers? If not, why not? If so, how?
- The measure of central tendency used with nominal scale data is the.
- The five number summary of a dataset was found to be: 0, 3, 13, 16, 20. (a) An observation is considered an outlier if it is below: (b) An observation is considered an outlier if it is above:
- What are the predictor variables that are statistically significant?
- In descriptive statistical analysis, what does a scatterplot show?
- What is the difference between a statistic and a parameter? Give an example of each.
- Which of the following measurement levels provides the most valuable data for a variable? a. nominal b. ordinal c. interval d. ratio
- In regression, explain under what circumstances should an outlier be removed in a data set. Why it should be removed?
- Outliers are observations that _____. a. render the study useless b. lie outside the sample c. disrupt the entire linear trend d. lie outside the typical pattern of points
- What is the variance of the following data? 10, 12, 15, 18, 11, 13, 14, 16, 19, 20.
- What is the variance of the following data? 100, 140, 130, 180, 80, 160.
- What is the variance of the following data? 10, 12, 6, 8, 9, 11, 13, 13, 5, 0, 1
- Which is not revealed on a scatter plot? A. Pairs of observed (x_{i}, y_{i}) data values B. Nonlinear relationships between X and Y C. Missing data values due to nonresponses D. Unusual data values (outliers)
- Are the data skewed? If so, how?
- In each of the following data sets, tell whether the outlier seems certain to be due to an error, or whether it could conceivably be correct. The length of a rod is measured five times. The readings i
- Find the three median x-values that would form the summary points of the median-median line for the dataset in the table. |X |24.9 |7.2 |15.1 |19.8 |10.3 |2.7 |21.3 |14.7 |y |38 |40 |25 |35 |21 |26 |46 |24
- Consider the following statements about unusual observations in linear regression models and pick the correct one. A. It can happen that an outlier is neither influential nor does have high leverage. B. It can happen that an observation with high lev
- The graph of the regression line is not affected by the outlier. True or False?
- Explain the following: (a) the f-test (b) f-statistic of the linear regression model.
- Given the following data set X: __ X = 25, 31, 10, 27, 15, 24, 27, 35, 39, 17__ The median of this data set is the _____ observation of the ordered array and the range is _____.
- Find the correlation coefficient of the data. s_x = 9.697, s_y = 16.100, b = 1.310
- Which of the following statements must be true about the data sets corresponding to Boxplots 1 and 2 below, assuming they are on the same scale. A) The data set corresponding to Boxplot 1 has a greater median. B) The data set corresponding to Boxplot 2
- The following is a set of data from a sample of n = 6. 6, 3, 8, 6, 2, 13 a. Compute the first quartile (Q1), the third quartile (Q3), and the interquartile range. b. List the five-number summary. c. Construct a boxplot and describe the shape.
- Consider the following data: Which linear trend model best fits this data? a) Y = 846.67 + 100X. b) Y = 840 + 100X. c) Y = 846.67 + 50X. d) Y = 796.67 + 50X. e) None of the above.
- Perform a regression analysis on the following:
- What statistical measures are used for describing dispersion in data? How do they differ from one another?
- Given the following data set X: __ X = 25, 31, 10, 27, 15, 24, 27, 35, 39, 17__ The median of this data set is the _____ observation of the ordered array and its value is _____.
- Describe the differences between correlations and regressions.
- The correlation coefficient measures the fraction of outliers that appear in a scatterplot. True or False?
- Calculate the correlation coefficient for the following ordered pairs. \begin{matrix} x & 3 & 8 & 3 & 6 & 6\\ y & 7 & 9 & 5 & 5 & 6 \end{matrix}
- Using the below data set, describe the distribution of the two variables of interest - gender and test scores - using a graphing technique and/or appropriate measures of central tendency and variability.
- Common errors in statistics do not include which of the following? a. indiscriminately removing outliers. b. accurately calculating the dispersions. c. ignoring the dispersion of the data. d. overzealous statistical inference.
- Suppose you have the following data. Draw the scatterplot.
- Find the slope of the median-median line for the dataset in this table. |X |24.9 |7.2 |15.1 |19.8 |10.3 |2.7 |21.3 |14.7 |17.6 |14.9 |4.4 |7.4 |11.6 |y. |38 |40 |25 |35 |21 |26 |46 |24 |44 |21 |36 |22 |20
- What is the difference between what a measure of central tendency tells us and what a measure of variability tells us?
Explore our homework questions and answers library
Browse
by subject