(i) Calculate the standard deviation. Robert's friend Asha collected a sample of hei

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11 On page 29 you saw the example about Robert, the student at Avonford
College, who collected data relating to the heights of female students. This is
his corrected frequency table and his calculations so far.
Height, h
Mid-value, x
Frequency, f
xf
157.5 <h< 159.5
158.5
4
634.0
159.5 <h<161.5
160.5
11
1765.5
161.5 <h< 163.5
162.5
19
3087.5
163.5 <h<165.5
164.5
8.
1316.0
165.5 < h< 167.5
166.5
5
832.5
167.5 <h<169.5
168.5
505.5
Totals
50
8141.0
8141.0
= 162.82
%3D
50
(i) Calculate the standard deviation.
Robert's friend Asha collected a sample of heights from 50 male PE students.
She calculated the mean and standard deviation to be 170.4 cm and 2.50 cm.
Later on they realised they had excluded two measurements. It was not
clear to which of the two data sets, Robert's or Asha's, the two items of data
belonged. The values were 171 cm and 166 cm. Robert felt confident about
one of the values but not the other.
(ii) Investigate and comment.
3.
Transcribed Image Text:11 On page 29 you saw the example about Robert, the student at Avonford College, who collected data relating to the heights of female students. This is his corrected frequency table and his calculations so far. Height, h Mid-value, x Frequency, f xf 157.5 <h< 159.5 158.5 4 634.0 159.5 <h<161.5 160.5 11 1765.5 161.5 <h< 163.5 162.5 19 3087.5 163.5 <h<165.5 164.5 8. 1316.0 165.5 < h< 167.5 166.5 5 832.5 167.5 <h<169.5 168.5 505.5 Totals 50 8141.0 8141.0 = 162.82 %3D 50 (i) Calculate the standard deviation. Robert's friend Asha collected a sample of heights from 50 male PE students. She calculated the mean and standard deviation to be 170.4 cm and 2.50 cm. Later on they realised they had excluded two measurements. It was not clear to which of the two data sets, Robert's or Asha's, the two items of data belonged. The values were 171 cm and 166 cm. Robert felt confident about one of the values but not the other. (ii) Investigate and comment. 3.
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