Question

The following frequency table summarizes a set of data. What is the five-number summary?

Value | Frequency |
---|---|

2 | 5 |

3 | 2 |

4 | 1 |

5 | 1 |

12 | 1 |

13 | 1 |

14 | 5 |

15 | 3 |

17 | 1 |

19 | 1 |

20 | 1 |

22 | 1 |

Select the correct answer below:

Min |
Q1 |
Median |
Q3 |
Max |
---|---|---|---|---|

2 | 5 | 6 | 14 | 22 |

Min |
Q1 |
Median |
Q3 |
Max |
---|---|---|---|---|

2 | 3 | 7 | 15 | 22 |

Min |
Q1 |
Median |
Q3 |
Max |
---|---|---|---|---|

2 | 8 | 9 | 17 | 22 |

Min |
Q1 |
Median |
Q3 |
Max |
---|---|---|---|---|

2 | 4 | 18 | 17 | 22 |

Min |
Q1 |
Median |
Q3 |
Max |
---|---|---|---|---|

2 | 3 | 14 | 15 | 22 |

Answer #1

**Five** **point**
**summary**

We get the data as:

2,2,2,2,2,3,3,4,5,12,13,14,14,14,14,14,15,15,15,17,19,20,22.

So there are 23 data points in total.

Minimum and maximum are clearly 2 and 22 respectively.

As 23 is odd so [(23+1)/2]= 12th data point is the median which is 14 here. So median =14.

Q1 and Q3 are the middle points of the first and second halves of the data respectively.

Now the first half is 2,2,2,2,2,3,3,4,5,12,13 and the second half is 14,14,14,14,15,15,15,17,19,20,22.

Clearly the middle point of first half is 3 and second half is 15.

Thus Q1= 3 and Q3= 15.

So the last option is correct.

QUESTION 1
·
1 POINT
The following frequency table summarizes a set of data. What is
the five-number summary?
Value
Frequency
2
3
3
2
5
1
6
3
7
1
8
2
11
3
Select the correct answer below:
Min
Q1
Median
Q3
Max
2
7
9
10
11
Min
Q1
Median
Q3
Max
2
3
6
8
11
Min
Q1
Median
Q3
Max
2
3
4
8
11
Min
Q1
Median
Q3
Max
2
6
8
10
11...

The following frequency table summarizes a set of data. What is
the five-number summary?
Value
Frequency
3
1
5
2
6
2
7
1
8
3
10
3
11
1
12
2

The five-number summary for a set of data is given below.
Min
Q1
Median
Q3
Max
43
52
53
57
90
What is the interquartile range of the set of data?

Given the following frequency table of data, what is the
potential outlier?
Value
Frequency
15
1
16
0
17
3
18
4
19
6
20
10
21
3
22
2
23
1
24
0
25
0
26
0
27
0
28
0
29
0
30
1
Select the correct answer below:
30
18
23
19
17

Find the 5 number summary for each set of data and create 2 box
plots. (Show your boxplot) 11, 19, 15, 20, 13, 15, 12, 14, 14, 17,
16, 22
Respiratory rates at rest (in breaths per minute) of adults in
group B: (show your boxplot) 13, 24, 12, 15, 18, 22, 14, 17, 11,
18

Q37
Here is a set of sample data
1
6
16
22
39
50
61
83
84
90
98
Identify the 5 number summary (min, Q1, median, Q3, max)
_____,______,______,______,

Here is the data set for quiz scores for the students who enroll
the Economics 101.
13
14
14
17
15
18
14
18
19
19
20
20
22
22
23
13
9
11
14
14
16
Using the five number summary, describe (1) the shape, (2)
appropriate central tendency, (3) appropriate dispersion method,
& (4) any extreme value of the data.

calculate the five number summary of the given data. use the
approximation method. 18, 15, 1, 14, 18, 11, 12, 20, 13, 19, 14, 8,
24, 18, 17

The following is a set of data from a sample of
n=7.
18 19 17 20 15 13 6
(a) Compute the first quartile (Upper Q1), the third quartile
(Upper Q3), and the interquartile range.
(b) List the five-number summary.
(c) Construct a boxplot and describe the shape.

The five-number summary for the weights (in pounds) of fish
caught in a bass tournament is: Min Q1 Median Q3 Max 2.3 2.8 3.0
3.3 4.5
a) Would you expect the mean weight of all fish caught to be
higher or lower than the median? Explain.
b) You caught 3 bass weighing 2.3 pounds, 3.9 pounds, and 4.2
pounds. Were any of your fish outliers? Explain.

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