Divide the range of data into classes of equal with
IQ (Binned)
Frequency
Percent
Valid Percent
Cumulative Percent
Valid
<= 90.00
4
6.7
6.7
6.7
91.00 - 101.00
7
11.7
11.7
18.3
102.00 - 112.00
15
25.0
25.0
43.3
113.00 - 123.00
15
25.0
25.0
68.3
124.00 - 134.00
13
21.7
21.7
90.0
135.00+
6
10.0
10.0
100.0
Total
60
100.0
100.0
Histogram
Find Mean, median and mode of the raw data:
Statistics
IQ
N
Valid
60
Missing
0
Mean
1.1493E2
Median
1.1400E2
Mode
124.00
Std. Deviation
1.47761E1
Variance
218.334
Minimum
81.00
Maximum
145.00
Find Mean median and mode of the group data:
Statistics
IQ (Binned)
N
Valid
60
Missing
0
Mean
3.73
Median
4.00
Mode
3a
Std. Deviation
1.376
Variance
1.894
Minimum
1
Maximum
6
Percentiles
25
3.00
50
4.00
75
5.00
The overall pattern:
From the histogram it can be found out it has been distributed negatively. negative skew can be defined in this way that the left tail is longer than the right tail.
Quartile:
Statistics
IQ
N
Valid
60
Missing
0
Percentiles
25
1.0350E2
50
1.1400E2
75
1.2475E2
Find standard deviation and find z score for x=110 and x=135