Hence,
Mean=15.9
Median=16
Interquartile=14.5
On arranging our data in the increasing order we get the data set as:
5 5 8 8 13 14 16 16 19 22 23 27 31
Now we find the mean as:
Now, we know that the median is the central tendency of the data and lie in the middle of the data.
Hence, by looking at the data we see that the middle value of the data is 16.
Hence, Median=16.
Now, the lower set of data is:
5 5 8 8 13 14
Now, the lower quartile is calculated as:
The middle value of the lower set of data is:
8 8
Hence, the lower quartile is middle of 8,8.
i.e.
similarly the upper set of data is:
16 19 22 23 27 31.
Similarly the upper quartile is calculated as:
Hence, interquartile range (IQR) is calculated as:
Hence,
Mean=15.9
Median=16
Interquartile=14.5
5 3/4___6 1/4
Answer:
Her gross pay for that week=$525
Step-by-step explanation:
Step 1: Express the gross pay
The gross pay can be expressed as follows;
A=F+(R×T)
where;
A=the gross pay per week
F=fixed income per week
R=commission rate
T=total commission sales
In our case;
F=$300 a week
R=15%=15/100=0.15
T=(2,500-1,000)=$1,500
replacing;
A=300+(15% of 1,500)
A=300+(0.15×1,500)
A=300+225=525
A=$525
Her gross pay for that week=$525