Estimate the mean running time of movies using the data in the Movie Database Sample. Express the estimate both symbolic and verbally. (The running times are the 4th table.) ### Movie Data TableThis table provides a detailed overview of various films, including information on genre, MPAA ratings, release years, runtimes, box office revenues, and more. It serves as a resource for understanding aspects of successful movies from different time periods and genres.| Title | Genre | Rating | Year | Runtime (min) | Revenue | Awards ||---------------------------------------|---------------|--------|------|---------------|------------------|--------|| A Bug's Life | Animation | G | 1998 | 95 | $363,398,565 | 1 || Good Will Hunting | Drama | R | 1997 | 126 | $225,933,436 | 5 || Sherlock Holmes | Adventure | PG-13 | 2009 | 128 | $524,028,679 | 2 || Toy Story 3 | Animation | G | 2010 | 103 | $1,063,171,911 | 5 || Mission: Impossible | Action | PG-13 | 1996 | 110 | $457,696,359 | 0 || Ghost | Drama | PG-13 | 1990 | 127 | $505,702,588 | 5 || How to Train Your Dragon | Animation | PG | 2010 | 98 | $494,878,759 | 5 || The Fifth Element | Action | PG-13 | 1997 | 126 | $263,920,180 | 0 || Harry Potter and the Chamber of Secrets | Adventure | PG | 2002 | 161 | $878,979,634 | 0 || The Full Monty | Comedy | R | 1997 | 91 | $257,938,646 | 4 || Twins | Comedy | PG | 1988 | 107 | $216,614,388 | 0 || Saving Private Ryan | Drama | R | 1998 | 169 | $481,840,909 | 11 || Iron Man 2 | Action | **Popular Movies and Their Details**This table showcases a selection of popular films across various genres, providing key information such as the title, genre, rating, release year, runtime (in minutes), box office earnings, and the number of Academy Awards won. Below is the transcription of the data:| Title | Genre | Rating | Year | Runtime | Box Office | Awards ||-------------------------------------|------------|--------|------|---------|----------------|--------|| The Bourne Identity | Action | PG-13 | 2002 | 119 | $214,034,224 | 0 || Twister | Drama | PG-13 | 1996 | 113 | $494,471,524 | 2 || Return of the Jedi | Adventure | PG | 1983 | 134 | $475,106,177 | 0 || Grease | Musical | PG | 1978 | 110 | $394,955,690 | 1 || Rain Man | Drama | R | 1988 | 133 | $354,825,436 | 8 || Titanic | Adventure | PG-13 | 1997 | 194 | $1,843,201,268 | 14 || The Dark Knight | Action | PG-13 | 2008 | 152 | $1,001,921,825 | 0 || 300 | Action | R | 2007 | 117 | $456,068,181 | 0 || The Godfather | Drama | R | 1972 | 175 | $245,066,411 | 11 || Star Wars | Adventure | PG | 1977 | 121 | $775,398,007 | 11 || Jaws | Thriller | PG | 1975 | 124 | $470,653,000 | 4 || Forrest Gump | Drama | PG-13 | 1994 | 142 | $677,387,116 | 13 || Monsters, Inc. | Animation | G | 2001

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Description: Estimate the mean running time of movies using the data in the Movie Database Sample. Express the estimate both symbolic and verbally. (The running times are the 4th table.) ### Movie Data TableThis table provides a detailed overview of various films

The running time of the movies are taken from the 4th column of the given movies table:

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Estimate the mean running time of movies using the data in the Movie Database Sample. Express the estimate both symbolic and verbally. (The running times are the 4th table.)

### Movie Data Table

This table provides a detailed overview of various films, including information on genre, MPAA ratings, release years, runtimes, box office revenues, and more. It serves as a resource for understanding aspects of successful movies from different time periods and genres.

| Title | Genre | Rating | Year | Runtime (min) | Revenue | Awards |
|---------------------------------------|---------------|--------|------|---------------|------------------|--------|
| A Bug's Life | Animation | G | 1998 | 95 | $363,398,565 | 1 |
| Good Will Hunting | Drama | R | 1997 | 126 | $225,933,436 | 5 |
| Sherlock Holmes | Adventure | PG-13 | 2009 | 128 | $524,028,679 | 2 |
| Toy Story 3 | Animation | G | 2010 | 103 | $1,063,171,911 | 5 |
| Mission: Impossible | Action | PG-13 | 1996 | 110 | $457,696,359 | 0 |
| Ghost | Drama | PG-13 | 1990 | 127 | $505,702,588 | 5 |
| How to Train Your Dragon | Animation | PG | 2010 | 98 | $494,878,759 | 5 |
| The Fifth Element | Action | PG-13 | 1997 | 126 | $263,920,180 | 0 |
| Harry Potter and the Chamber of Secrets | Adventure | PG | 2002 | 161 | $878,979,634 | 0 |
| The Full Monty | Comedy | R | 1997 | 91 | $257,938,646 | 4 |
| Twins | Comedy | PG | 1988 | 107 | $216,614,388 | 0 |
| Saving Private Ryan | Drama | R | 1998 | 169 | $481,840,909 | 11 |
| Iron Man 2 | Action |

**Popular Movies and Their Details**

This table showcases a selection of popular films across various genres, providing key information such as the title, genre, rating, release year, runtime (in minutes), box office earnings, and the number of Academy Awards won. Below is the transcription of the data:

| Title | Genre | Rating | Year | Runtime | Box Office | Awards |
|-------------------------------------|------------|--------|------|---------|----------------|--------|
| The Bourne Identity | Action | PG-13 | 2002 | 119 | $214,034,224 | 0 |
| Twister | Drama | PG-13 | 1996 | 113 | $494,471,524 | 2 |
| Return of the Jedi | Adventure | PG | 1983 | 134 | $475,106,177 | 0 |
| Grease | Musical | PG | 1978 | 110 | $394,955,690 | 1 |
| Rain Man | Drama | R | 1988 | 133 | $354,825,436 | 8 |
| Titanic | Adventure | PG-13 | 1997 | 194 | $1,843,201,268 | 14 |
| The Dark Knight | Action | PG-13 | 2008 | 152 | $1,001,921,825 | 0 |
| 300 | Action | R | 2007 | 117 | $456,068,181 | 0 |
| The Godfather | Drama | R | 1972 | 175 | $245,066,411 | 11 |
| Star Wars | Adventure | PG | 1977 | 121 | $775,398,007 | 11 |
| Jaws | Thriller | PG | 1975 | 124 | $470,653,000 | 4 |
| Forrest Gump | Drama | PG-13 | 1994 | 142 | $677,387,116 | 13 |
| Monsters, Inc. | Animation | G | 2001

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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