answering questions

Statistics– STAT101

Assignment 1/Weeks: 2 - 4

2nd semester 2017-2018

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Due Date: 22.02.2018

Student Name:*		Student ID:*
Marking Scheme
Question	Score
Q.1	/3
Q.2	/3
Q.3	/3
Q.4	/3
Q.5	/3
Q.6	/3
TOTAL	/18

*: Mandatory Field (to be filled by student)

Solve the following questions

Q1.  Here are the travel times of 20 randomly chosen SEU students:

10, 30, 5, 25, 40, 20, 10, 15, 30, 20, 15, 20, 75, 15, 65, 15, 60, 60, 40, 45. Construct a stem and leaf diagram of the given data.  

Q2. Construct a relative frequency histogram from the following frequency table.

Height	Frequency
59.5-61.5	4
61.5-63.5	0
63.5-65.5	8
65.5-67.5	2
67.5-69.5	18
69.5-71.5	2
71.5-73.5	2
73.5-75.5	4

Q3. Calculate the median, mean and mode for the set:

{26, 31, 21, 29, 32, 26, 25, 28}

Q4. It was found that families bought milk in the following quantites in a particular week.

Milk Quantity (Litres)	Number of families
1	3
3	3
5	4
7	14
9	7
11	4
13	3
15	4

Find the mean and standard deviation.

Q5. Consider a pack of 52 playing cards. A card is selected at random. What is the probability that the card is either a diamond or a King?

Q6. Two Dice are thrown 100 times and the sum are recorded in each throw. The recorded outcomes are as follows

Sum (x)	Frequency(f)
2	7
3	6
4	7
5	12
6	22
7	18
8	8
9	3
10	4
11	5
12	8

Construct the probability distribution.