## Sta301

Q No. 1
A)

(i)
3 Median = Mode + 2 Mean
3 Median = (2) + 2 (5)
3 Median = 2 + 10
3 Median = 12
Median = 12 / 3
Median = 4

(ii)
What is aim of collecting numerical data for a statistics study .

The aim of collecting numerical data for a statistical study is to draw conclusions about various phenomena on the basis of real data collected through sample basis.

(iii)

Some of the major functions of the Statistics are assistance in:

• Summarizing the larger amount of data in comprehensive forms
• Effective planning for any field of inquiry as well as surveys
• Drawing conclusions

B)

1. Describe a population:

The Population is the set of 2,440 cans of paint.

2. Describe a variable of interest:

The variable of interest is the weight of cans, which the retailer wants to evaluate.

3. Describe the date type of variable:

The data type of variable is quantitative.

4. Describe a sample:

The set 50 cans, selected by the retailer, is the sample.

Q No. 02:

a)

The enumerators are the trained employees, assigned the task of assisting informants to proceed with the questionnaire correctly.

b)

Average height of the students in a school = 5.2 inches
A sample of 12 students showed following heights:

5.0, 5.3, 5.2, 4.9, 4.11, 5.0, 5.5, 5.4, 5.1, 5.0, 5.2, 4.10,
Average = sum of all numbers / total no. of numbers

Sampling Error =

c)

x f C.f Cum: Relative freq
2 2 2 2/15=0.13
4 1 3 3/15=0.20
6 4 7 7/15=0.46
8 3 10 10/15=0.66
10 5 15 15/15=1

Q. No. 03
a) Can we find out the Median from the following data? If yes, write the reason (No need to calculate the medioan)

Wages of Workers in a factory
Monthly Income (Rs) No. of workers
Less than 2000/- 100
2000 – 2999/- 300
3000 – 3999/- 250
4000 – 4999/- 50
5000 – Above 1200

we can not find the median.

b) Compute Mean, Median and Mode from the following data.

No. of Students F Fx C.F
1 15 15 15
2 10 20 25
3 5 15 30
5 15 75 45
6 5 30 50
50 155

155
=
50
Mean = 3.1

Median:

= [(n/2)+1]th value
= 3

Mod:
= 5