Year | Percentage of scores |

1st Year | 70 |

2nd Year | 82 |

3rd Year | 76 |

4th Year | 80 |

Step: 1

The ascending order of the percentages obtained by John is 70, 76, 80, 82.

Step: 2

In the percentages, the least value is 70 and the greatest value is 82.

Step: 3

Middle quartile = Median of all the data

Step: 4

= 7 6 + 8 0 2 = 156 2 = 78

[Add and simplify.]

Step: 5

Lower quartile = Median of lower half of the data

Step: 6

= 7 0 + 7 6 2 = 146 2 = 73

[Add and simplify.]

Step: 7

Upper quartile = Median of upper half of the data

Step: 8

= 8 0 + 8 2 2 = 162 2 = 81

[Add and simplify.]

Step: 9

So, plot (1) is the equivalent box-and-whisker plot of the data.

Step: 10

Median of the scores obtained by John = Middle quartile = 78

Correct Answer is : Plot 1, 78

Students | Number of coins |

Joseph, John,name | 18 |

Charles | 10 |

CatJoseph, John,rine | 16 |

Cindy | 20 |

Jack | 16 |

Step: 1

TJoseph, John, ascending order of tJoseph, John, number of coins collected by each student is 10, 16, 16, 18, 20.

Step: 2

In tJoseph, John, table, least value is 10 and tJoseph, John, greatest value is 20.

Step: 3

Middle quartile = median of tJoseph, John, entire data = 16

Step: 4

Lower quartile = median of lower half of tJoseph, John, data

= 1 0 + 1 6 2 = 26 2 = 13

[Add and simplify.]

Step: 5

Upper quartile = Median of upper half of tJoseph, John, data

= 1 8 + 2 0 2 = 38 2 = 19

[Add and simplify.]

Step: 6

Plot (1) is tJoseph, John, equivalent box-and-whisker plot for tJoseph, John, data.

Step: 7

Range of tJoseph, John, box-and-whisker plot

= Greatest value - Least value

Step: 8

= 20 - 10 = 10.

[Substitute and subtract.]

Correct Answer is : Plot 1, 10

Step: 1

The number of customers who visited the super market each hour are 15, 10, 12, 9, 18, 5, 8, 9, 15, 10 and 11.

Step: 2

The ascending order of the above data set is: 5, 8, 9, 9, 10, 10, 11, 12, 15, 15,18.

Step: 3

The least value in the above list of data is 5 and the greatest value is 18.

Step: 4

Middle quartile = median of the data = 10.

Step: 5

Lower quartile = median of lower half of the data = 9.

Step: 6

Upper quartile = median of upper half of the data = 15.

Step: 7

So, among the plots, plot 4 is the equivalent box-and-whisker plot for the data.

Correct Answer is : Plot 4

Edition | Income (Million dollars) |

Harry Potter and the Sorcerer's stone | 10 |

Harry Potter and the Chamber of Secrets | 40 |

Harry Potter and the Prisoner of Azkaban | 80 |

Harry Potter and the Goblet of Fire | 150 |

Harry Potter and the order of the Phoenix | 200 |

Step: 1

The least value in the above list of data = 10 and the greatest value = 200.

Step: 2

Middle quartile = median of all the data = 80.

Step: 3

Lower quartile = median of lower half of the data = 1 0 + 4 0 2 = 50 2 = 25

Step: 4

Upper quartile = median of upper half of the data = 1 5 0 + 2 0 0 2 = 350 2 = 175

Step: 5

So, plot 3 is the equivalent box-and-whiskers plot for the data.

Correct Answer is : Plot 3

Step: 1

The number of passengers transported in 7 trips in a day are 50, 70, 60, 80, 40, 75, 50.

Step: 2

The ascending order of the above data set is 40, 50, 50, 60, 70, 75 and 80.

Step: 3

The least value in the above list is 40 and the greatest value is 80.

Step: 4

Middle quartile = median of the data = 60.

Step: 5

Lower quartile = median of lower half of the data = 50.

Step: 6

Upper quartile = median of upper half of the data = 75.

Step: 7

Plot (2) is the appropriate box-and-whisker plot of the data.

Step: 8

Median of the data = middle quartile of the plot = 60

Correct Answer is : Plot 2, 60

Name | Height (in 100 ft.) |

Mt. McKinley | 200 |

Mt. St. Elias | 180 |

Mt. Foraker | 175 |

Mt. Bona | 165 |

Mt. Blackburn | 160 |

Mt. Alverstone | 145 |

Sunshine Peak | 140 |

Step: 1

From the table, the heights of mountains in the U.S are 200, 180, 175, 165, 160, 145 and 140.

Step: 2

The ascending order of the above data set is 140, 145, 160, 165, 175, 180, 200.

Step: 3

So, the least value in the data set is 140 and the greatest value is 200.

Step: 4

Middle quartile = median of the data = 165.

Step: 5

Lower quartile = median of lower half of the data = 145

Step: 6

Upper quartile = median of upper half of the data = 180

Step: 7

So, plot (1) is the appropriate box-and-whisker plot of the data.

Step: 8

Mean of the data = sum of the heights / number of heights given = [(140 + 145 + 160 + 165 + 175 + 180 + 200) / 7] x 100 = 166.43 x 100 = 16643 ft.

Correct Answer is : Plot 1, 16643 ft

Channel | Number of viewers (in millions) |

Discovery | 20 |

Star Sports | 10 |

Star Movies | 32 |

Cartoon Network | 16 |

CNN | 14 |

Step: 1

The ascending order of the number of viewers in the data is 10, 14, 16, 20 and 32.

Step: 2

The least value in the above list is 10 and the greatest value is 32.

Step: 3

Middle quartile of the plot = Median of the given data = 16

Step: 4

Lower quartile = Median of lower half of the data = 10+14 2 = 24 2 = 12

[Simplify.]

Step: 5

Upper quartile = Median of upper half of the data = 20+32 2 = 52 2 = 26

[Simplify.]

Step: 6

Among the plots, plot (4) is the appropriate box-and-whisker plot for the data.

Step: 7

Mean number of T.V viewers = Sum of the viewers of all channels / Number of channels

Step: 8

= 10+14+16+20+32 5 = 18.4 millions

[Substitute and simplify.]

Correct Answer is : Plot 4, 18.4 millions

Step: 1

The ascending order of the data is 2, 2, 3, 4, 5, 5, 7, 8, 9, 10 and 12.

Step: 2

The least value in the data set is 2 and the greatest value is 12.

Step: 3

Middle quartile = Median of the data = 5

Step: 4

Lower quartile = Median of lower half of the data = 3

Step: 5

Upper quartile = Median of upper half of the data = 9

Step: 6

So, Plot 3 is the appropriate box-and-whisker plot for the data set.

Correct Answer is : Plot 3

Color | Number of balls |

Red | 7 |

Blue | 8 |

Green | 6 |

White | 3 |

Black | 10 |

Yellow | 5 |

Pink | 2 |

Step: 1

The ascending order of the above data set is 2, 3, 5, 6, 7, 8 and 10.

Step: 2

From the above data set, the least value is 2 and the greatest value is 10.

Step: 3

Middle quartile = Median of the whole data set = 6

Step: 4

Lower quartile = Median of lower half of the data set = 3

Step: 5

Upper quartile = Median of upper half of the data set = 8

Step: 6

Among the four plots, plot (2) is the equivalent box-and-whisker plot of the data.

Correct Answer is : Plot 2

Step: 1

Range = greatest value - least value.

Step: 2

The ascending order of the above data set is: 8, 10, 11, 12, 13, 14, 15, 17, 17, 18, 18, 19, 19, 20, 20.

Step: 3

From the above list of data, least value = 8 and greatest value = 20.

Step: 4

The range of the data = 20 - 8 = 12

Step: 5

Middle quartile = median of all the data set = 17.

Step: 6

Lower quartile = median of lower half of the data set = 12.

Step: 7

Upper quartile = median of upper half of the data set = 19.

Step: 8

Among the four plots, plot (2) is the appropriate box-and-whisker plot of the data.

Correct Answer is : Plot 2, 12

- Writing Quadratic Equations for Line of Fit-Algebra1-Solved Examples
- Constructing Line Plots-Algebra1-Solved Examples
- Constructing Histograms-Algebra1-Solved Examples
- Reading and Interpreting Scatter plots-Algebra1-Solved Examples
- Constructing Scatter Plots and Line of Fit-Algebra1-Solved Examples
- Comparing Two Related Sets of Data and Expected Value-Algebra1-Solved Examples
- Identifying Outliers-Algebra1-Solved Examples
- Comparing Linear, Quadratic and Exponential Models-Algebra1-Solved Examples
- Correlation Coefficient, Causation and Correlation-Algebra1-Solved Examples
- Meaning of Slope and Intercepts in Graphs and Situations-Algebra1-Solved Examples

- Box-And-Whisker Plot