Question

[1] Use JMP to construct a histogram and box-plot for the variable Receipt Total.

[2] Describe the shape of the distribution. Is the distribution roughly symmetric or skewed in a direction?

[3] Does the distribution have any outliers? If so, how many and what are the values?

[4] Use JMP to construct a Quantiles table. Paste the quantiles table in the left-hand box and enter the values that make up the five-number summary on the right.

maximum 75% quartile median 25% quartile minimum

Use the Quantiles table in [4] to answer the following questions.

[5] Twenty-five percent of the receipt totals exceeded what total?
[6] Ninety percent of the receipt totals are less than what total?
[7] What percent of the receipts have totals between $14.19 and $34.04?

[8] Use JMP to construct a Summary Statistics table displaying the mean, median, and mode. Paste the Summary Statistics JMP table in the left-hand side box and enter the values on the right.

Summary Statistics	Central Tendency
	Mean Median Mode

[9] Use JMP to construct a Summary Statistics table displaying the standard deviation, variance, and range. Paste the Summary Statistics JMP table in the left-hand side box and enter the values on the right.

Summary Statistics	Variability
	Standard Deviation Variance Range

[10] Use JMP to construct a Stem and Leaf display. Paste the Summary Statistics JMP table in the left-hand side box. Use the display to answer the question in the right-hand side box.

How many receipts have a total value of $40 or more? How many receipts have a total value of at least $20 but less than $40? How many receipts have a total value less than $15?

2.32
6.61
6.9
8.04
9.45
10.26
11.34
11.63
12.66
12.95
13.67
13.72
14.35
14.52
14.55
15.01
15.33
16.55
17.15
18.22
18.3
18.71
19.54
19.55
20.58
20.89
20.91
21.13
23.85
26.04
27.07
28.76
29.15
30.54
31.99
32.82
33.26
33.8
34.76
36.22
37.52
39.28
40.8
43.97
45.58
52.36
61.57
63.85
64.3
69.49

Answer 1

1. Steps : graph, histogram, boxplot.
Histogram of Receipt total 18 16 12 5 C10 2 urrent Worksheet: Wor

Boxplot of Receipt total 70 60 Outlier symbol, Row 48 Receipt total 1 63.3 50 0 40 30 20 10
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2. Shape and skewness : tge distribution is positively skewed as the horizontal line in the boxplot lies in the lower part of the box.

3. If we move the cursor on the outlier value in the boxplot, it'll guve us the exact value as shown above. The data has 3 outliers which are : 63.85, 64.30, 69.49

4.5. Twenty-five percent of the receipt totals exceeded 13.72 total

Descriptive Statistics: Receipt total

6. As (50*90)/100=45 and 45th value is 45.58 so Ninety percent of the receipt totals are less than 45.58

7. 26 values are between $14.19 and $34.04 so 52% of the values lie between these limits.

8. Steps : stat, basic statistics, display descriptive statistics.
Descriptive Statistics: Receipt total N for Mean Median Mode Mode Variable Receipt total 25.94 20.73
9.
Descriptive Statistics: Receipt total StDev Variance Range 260.9367.17 Variable Receipt total 16.15 2
10.
Stem-and-Leaf Display: Receipt total 50 Stem-and-leaf of Receipt total N Leaf Unit = 1.0 50 6689 15 1 0112233444 24 1 556788899 (5) 2 00013 21 2 6789 17 3 012334 11 3 679 4 03 46 134
How many receipts have a total value of $40 or more?

Ans : 8

How many receipts have a total value of at least $20 but less than $40?

Ans : 18

How many receipts have a total value less than $15?

Ans : 15