Question

The number of one type of sold product in one store is listed below.
51 55 49 61 53 49 62 54 49 51 48 50 53 51 52 52 52 51 51 48
1.(5) calculate mean, median, mode, lower quartile and upper quartile.
2.(5) construct a modified box-plot.

Answer 1

Here in this scenario we have to calculate the mean median mode and quartiles of the given sample data .

Following steps will be used for calculating the quartiles of given data,

The first task is to compute the median and the quartiles. And, in order to compute the median and the quartiles, the data needs to be put into ascending order, as shown in the table below

Position	X (Asc. Order)
1	48
2	48
3	49
4	49
5	49
6	50
7	51
8	51
9	51
10	51
11	51
12	52
13	52
14	52
15	53
16	53
17	54
18	55
19	61
20	62.

  

From the above,

The mode is the most frequent values in data set here in this Question the mode is 51 because it repeated 5 times.

This is the answer of 1 & 2.

Thank you.