Titel_SS06

interval is counted. Thereafter the frequencies of the measurements within each interval are
evaluated as the number of observations within one interval divided by the total number of
observations. The cumulative frequencies are estimated by summing up the frequencies for
each interval in increasing order.

Interval Midpoint Number ofobservations Frequency[%] Cumulativefrequency

23-26

26-29

29-32

32-35

35-38

38-41

24.5

27.5

30.5

33.5

36.5

39.5

1 4 3 6 4 2

5

20

15

30

20

10

0.05

0.25

0.40

0.70

0.90

1.00

Table 2.4: Summary of the observed concrete cube compressive strength measurements.

Figure 2.4 and Figure 2.5 show the graphical representation of the processed data of Table 2.4.

Concrete cube compressive strength (MPa) Concrete cube compressive strength (MPa)

(^0) 29-32 32-35 35-38 38-41
1
2
3
4
5
6
7
Number of observations
23-26 26-29 0 29-32 32-35 35-38 38-41
5
10
15
20
25
30
35
Frequency of observations (%)23-26 26-29
Figure 2.4: Histogram and frequency distribution representations of the observed concrete cube
compressive strength.
(^0242628303234363840)
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
Concrete cube compressive strength (MPa)
Cumulative frequency
Figure 2.5: Cumulative frequency plot of the observed concrete cube compressive strength.
Quantile Plots
Quantile plots are graphical representations containing information that is similar to the
cumulative frequency plots introduced above. A quantile is related to a given percentage, and