Exam (elaborations)
Statistics Revision Paper 4 & 5
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It is statistics revision paper 4 and 5 can be used as A levels, BTEC, and Diploma in HE CSM statistics exam.
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STATISTICS - REVISION PAPER 4Table 1 - distribution of results by students in an exam
Mark 0-20 21-40 41-60 61-80 81-100
Frequency 2 9 26 18 7
Table 2 – phone calls recorded in a company
Time (mins) 0-10 10-20 20-30 30-40 40-50
No. of calls 11 22 34 22 11
Table 3 –
x 15 13 17 19 14 16 14 14 15 18
y 7 4 9 8 7 7 4 6 4 7
TASKS
1 Using the data in table 1 find the:
a) Mean
b) Variance
c) Standard deviation
2 Using the data in table 1 draw the cumulative frequency curve and find the:
a) Median
b) Lower quartile
c) Upper quartile
3 Using the data in table 2 construct a histogram and find the:
a) Mode
b) Median
4 Using the data in table 3 calculate the:
a) Product moment correlation coefficient
b) Rank correlation coefficient
ANSWERS (calculations given to 2 decimal places)
1a 56.61
b 370.71
c 19.25
2a 55
b 44
c 69
3a 25
b 25
4a 0.69
b 0.76
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