70+ Family Quantitative methods Version 1


Download 26.32 Kb.
bet1/3
Sana13.11.2023
Hajmi26.32 Kb.
#1769953
  1   2   3
Bog'liq
QM sample in-class test


70+ Family

Quantitative methods


Version 1

  1. A coach in football school collected the 20 footballer children’s favourite T-shirt (Jersey) numbers. The results show the following:

    7 10 1 8 9 10 7 7 11 7 9 10 6 9 7 10 8 6 1 11



a. Based on the given data, identify whether the statements below are False or True:
1) The given data is quantitative. (2 marks)
2) Data is in ratio scale (2 marks)
3) The mode is 7 (2 marks)
4) The mean can be identified for this data (2 marks)
5) Standard deviation is not applicable for this data (2 marks)
b. Plot the data graphically. (10 marks)

  1. The following data gives information about the CIFS students’ overall marks from QM in 2022-2023 academic year.

Students’ marks

Number of students

10-40

280

40-60

328

60-70

170

70-80

144

80-100

78

Show the formula for median, mean and mode. Calculate the median, mean and mode of this data (20 marks)



  1. The data below represents the number of cars sold in one of the car salons in August.

Number of cars

Number of days

4

10

6

6

7

4

8

7

10

3

Calculate the variance, standard deviation and IQR of the data (20 marks)

  1. a) Ann wants to deposit $12,000 into two banks for 2 years. Bank X offers 10% interest rate compounded semi-annually, and Bank Y offer 10.2% compounded yearly. What will be the future amount of the deposit in both banks after 2 years? Which bank would you suggest for Ann and why? (10 marks)

b) If the Ipak yo’li bank offered 26% annual interest rate for deposit in 2022 and the inflation rate was 11.45%, calculate the real interest rate. (5 marks)
c) If you are invited to a project which yields 10% annual interest rate compounded: 1) semi-annually; 2) monthly; 3) quarterly, find the effective annual rate.

  1. This is the information about the net income (in million dollars) generated by three companies, “Alpha”, “Betta” and “Gamma” from 2017 to 2020

Company/Year

2017

2018

2019

2020

Alpha

23.2

24.5

26.4

18.6

Betta

15

18.3

18.1

16.4

Gamma

30.1

28.6

32.5

40.9

  1. Calculate the SMI and SAI for the data. (10 marks)

  2. Calculate the chain-base index for “Gamma”. (10 marks)



Download 26.32 Kb.

Do'stlaringiz bilan baham:
  1   2   3




Ma'lumotlar bazasi mualliflik huquqi bilan himoyalangan ©fayllar.org 2024
ma'muriyatiga murojaat qiling