The hand spans, to the nearest cm, of some students in a class are shown below: 19, 22, 21, 15, 18, 22, 17, 19, 16, 21, 19, 18, 22, 20, 21, 22, 19, 15, 17, 21 Henry created the following incorrect dot plot to represent the data: Dot plot showing 2 dots over 15, 1 dot over 16, 2 dots over 17, 2 dots over 18, 4 dot over 19, 1 dot over 20, 5 dots over 21, and 4 dots over 22 What should Henry do to make the dot plot correct?
He should remove one dot over 21 so that the actual data plot and his data plot matches.
We are given a set of data points as:
19, 22, 21, 15, 18, 22, 17, 19, 16, 21, 19, 18, 22, 20, 21, 22, 19, 15, 17, 21
on making the frequency table of these data points.
Hand span(cm) Frequency
15 2
16 1
17 2
18 2
19 4
20 1
21 4
22 4
Hence, when we will make the dot plot of it then:
There must be:
2 dot over 15
1 dot over 16
2 dot over 17
2 dot over 18
4 dot over 19
1 dot over 20
4 dot over 21
and 4 dot over 22
But according to Henry it was given:
2 dots over 15
1 dot over 16
2 dots over 17
2 dots over 18
4 dot over 19
1 dot over 20
5 dots over 21
and 4 dots over 22
Hence, Henry should remove one dot over 21 in order to get the correct dot plot.