please tell me what is the mode of the above data please please please please please please please please please please please please please
Answers
The mode is the number that appears most frequently in a data set. A set of numbers may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average (mean) of a set, and the median, the middle value in a set.
A:Explanation:
First thing we need tio do is to put the data in increasing order. This is needed to calculate the median:
30
,
31
,
32
,
33
,
34
,
35
,
35
,
36
,
37
,
39
Now we can calculate the parameters of this set:
Mean:
¯
x
=
30
+
31
+
32
+
33
+
34
+
35
+
35
+
36
+
37
+
39
10
=
342
10
=
34.2
Median
To calculate the median we need to take "middle" elements in an ordered set. If the set has an odd number of elements, then there is only one middle element, otherwise there are 2 such elements and median is the mean of those elements.
To find the middle elements we can cross out elements at both ends of the set until only 1 or 2 remain uncrossed:
30
,
31
,
32
,
33
,
34
,
35
,
35
,
36
,
37
,
39
30
,
31
,
32
,
33
,
34
,
35
,
35
,
36
,
37
,
39
30
,
31
,
32
,
33
,
34
,
35
,
35
,
36
,
37
,
39
30
,
31
,
32
,
33
,
34
,
35
,
35
,
36
,
37
,
39
There are 2 uncrossed elements, so their mean is the median:
M
e
=
34
+
35
2
=
69
2
=
34.5
Mode is the element which occurs the most times in the set. Here it is
35
.
Range is the difference between the smallest and the largest element:
r
=
39
−
30
=
9
thanks