Question

The following is the price of a suit:

480	485	485	490	490	490	495
495	495	495	500	500	500	500
500	505	505	505	505	505	505
510	510	510	510	510	510	510
515	515	515	515	515	515	520
520	520	520	520	525	525	525
525	530	530	530	535	535	540

1. Write a report about the price of a suit by using all important statistics.

2

. Write a report about the price of a suit by using stem and leaf plot, dotplot and boxplot. Calculate 90^th percentile from the dotplot.

Answer 1

1) Descriptive statistics from excel

Variable	N	Mean	SE Mean	StDev	Minimum	Q1	Median	Q3	Maximum	IQR	Mode	Skewness
Price	49	510	2.04	14.29	480	500	510	520	540	20	510	0

There are 49 observations for the price siut. The mean of the price suit is 510 which means on an average one has to spend 510 units for the purchase of suit. median of the data is 510 which mean there are 50 % of the siuts which has the price less than 510 units and 50% of the suits price is greater than 510 units. The minimum price of the siut is 480 units and the maximum price of the suit is 540 units. Mode of the suits price i.e., most repeated or most of the suits have the price 510. The Q1 is 500 which means the price of 25% of the suits are less than 500 units and 75% of the suits costs less than 520 units. The price range of the sits follows the perfect normal distribution since the skewness coefficient is 0.

2)

stem plot

Stem-and-leaf of Price   N = 49

Frequency	Stem		Leaf
3	48		055
7	49		0005555
11	50		00000555555
13	51		0000000555555
9	52		000005555
5	53		00055
1	54		0

Leaf Unit = 1

Dot Plot

90th percentile from the dot plot is 530 this is the 44th observation weh the data is arranged in ascending order.

box plot