Question

Dataset: 147; 159; 164; 182; 172; 171; 162; 163; 157; 145; 164; 188; 172; 163; 162; 164 and 166. a) Arrange the data into a stem-and-leaf diagram. b) Use the diagram to determine the mean, median and mode.​

Answer 1

The mean of data is 164.70, median and mode of data are 164

Given that Dataset: 147; 159; 164; 182; 172; 171; 162; 163; 157; 145; 164; 188; 172; 163; 162; 164 and 166. and asked to arrange data in stem and leaf diagram and asked to determine mean, mode and median form the stem and leaf diagram

STEM                                    LEAF

14                                           5         7
15                                                       7    9
16                    2 2 3 3 4 4 4         6
17                  1 2 2
18                      2                                  8

$Mean =\frac{total sum}{numberof terms}$

$Mean=\frac{2800}{17}$

Mean= 164.70

Median⇒since there are 17 terms

Median= $\frac{N+1}{2}$the term

Median=9th term=164

Mode⇒ most frequent number

Mode⇒164

Therefore, 164 is mode and median ,164.70 is mean

Hence,The mean of data is 164.70, median and mode of data are 164

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