Question

The following frequency table summarizes 60 data values. What is the 80th percentile of the data? The table is read from left to right.

1 |
1 |
1 |
1 |
2 |

2 |
2 |
2 |
2 |
2 |

2 |
3 |
3 |
3 |
3 |

6 |
6 |
6 |
7 |
7 |

8 |
8 |
9 |
9 |
9 |

9 |
10 |
11 |
11 |
11 |

11 |
11 |
12 |
12 |
12 |

12 |
13 |
13 |
13 |
14 |

14 |
14 |
14 |
15 |
15 |

15 |
16 |
17 |
17 |
17 |

17 |
17 |
18 |
19 |
19 |

20 |
20 |
20 |
20 |
20 |

Answer #1

The p^{th} percentile is a value such that at least p
percent of the observations is less than or equal to this value and
at least (100−p) percent of the observations is greater than or
equal to this value.

The first step is to sort the values.

The sorted values are 1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,6,6,6,7,7,8,8,9,9,9,9,10,11,11,11,11,11,12,12,12,12,13,13,13,14,14,14,14,15,15,15,16,17,17,17,17,17,18,19,19,20,20,20,20,20

Since there are 60 values, then n=60.

Now, calculate the index

Since the index i is an integer, the 80^{th} percentile
is the average of the values at the positions i and i+1.

The value at the position i=48 is 17 and at the position i+1=49 is 17.

Their average is the percentile:

**Answer: the 80 ^{th} percentile is
17.**

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...

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

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...

Assuming that the population standard deviation is
unknown, calculate the 95% confidence interval of the
population mean.
The following is the data. Calculating Process should be shown
by Excel (Formulas). What formulas in statistics are used?
7
21
23
24
18
16
2
19
11
6
3
13
17
9
5
12
13
17
4
14
15
25
12
24
22
14
14
20
15
11
26
17
21
11
4
13
16
14
13
14
25
23
9
15...

I need a breakdown to perform in excel for numbers 7,8,9. I am
unsure of how I calculate the times. heres the data set and the
questions.
Calculate the probability that a flight will depart early or on
time.
Calculate the probability that a flight will arrive late.
Calculate the probability that a flight departs late or arrives
early.
DEP_Delay
ARR_Delay
-4
0
-3
-3
0
-5
-7
-1
8
3
-1
-5
3
8
11
6
-6
0
-5...

Cork price: 16 10 15 10 17 11 14 13 11 14 11 16 18 16 10 17 14
14 16 7 10 12 19 15 16 14 9 12 21 13 10 16 12 16 13 17 17 13 14 18
11 12 15 16 13 18 16 17 12 12 14 9 11 14 19 13 11 17 11 13 15 14 18
18 18 12 10 11 13 14 11 14 18 13 13 19 17 14...

Cork price: 16 10 15 10 17 11 14 13 11 14 11 16 18 16 10 17 14
14 16 7 10 12 19 15 16 14 9 12 21 13 10 16 12 16 13 17 17 13 14 18
11 12 15 16 13 18 16 17 12 12 14 9 11 14 19 13 11 17 11 13 15 14 18
18 18 12 10 11 13 14 11 14 18 13 13 19 17 14...

6. Using the class data (see Blackboard file - "Class Survey
Data - PSS-10 and GAS") calculate the correlation between the GAS –
Goal disengagement and the GAS – Goal reengagement scores. Write
the results in a statistical statement.
7. Using the class data calculate the correlation between the
GAS – Goal disengagement and the PSS-10 scores. Write the results
in a statistical statement.
8. Using the class data calculate the correlation between the
GAS – Goal reengagement scores and...

Part A. In the past it has been found that the arrival time have
a population mean value of μ = 13 and a population standard
deviation of σ = 6.26. Using the given data, test whether this mean
has changed. Use the critical value approach to test the
hypothesis. The significance level alpha is set at 0.05 . The
original data of time taken is given below. Show the process by
using excel (Formulas).
Part B. Test the hypothesis...

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

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