Statistics revision paper 1

STATISTICS - REVISION PAPER 1

Table 1
Mark 0-15 16-39 40-59 60-79 80-100
Frequency 5 9 20 15 4

Table 2

Mark 1-10 11-20 21-30 31-40 41-50 51-60
Frequency 2 4 7 12 10 5

Table 3
Mark 0-4 4-8 8-10 10-16 16-20
Frequency 3 8 17 6 4

Table 4
x 4 7 6 7 5 7 5 6
y 6 5 8 8 5 9 6 8

TASKS

1 Using the data in table 1 find the:
a) Mean
b) Variance
c) Standard deviation
2 Using the data in table 2 draw the cumulative frequency curve and find the:
a) Median
b) Lower quartile
c) Upper quartile
3 Using the data in table 3 construct a histogram and find the:
a) Mode
b) Median
4 Using the data in table 4 calculate the:
a) Product moment correlation coefficient
b) Rank correlation coefficient

ANSWERS (calculations given to 2 decimal places)

1a 50.52
b 484.57
c 22.01

2a 35.9
b 26.2
c 44.5

3a 8.93
b 8.94

4a 0.48
b 0.46