Answer:
i did the first 5 for you with explanation. try doing the rest so you'll understand better :)
1) mean:
[tex] \frac{5 + 3 + 2 + 6 + 5 + 2 + 5}{7} = \frac{28}{7} = 4[/tex]
median:
*arrange the numbers in ascending order and choose the number at the centre
2, 2, 3, 5, 5, 5, 6
= 5
mode:
*the number that occurs most often
= 5
range:
*highest value - lowest value
= 6-2
=4
2) mean:
[tex] \frac{10 + 10 + 12 + 12 + 15 + 22 + 24}{7} = \frac{105}{7} = 15[/tex]
median
10, 10, 12, 12, 15, 22, 24
=12
mode = 10 and 12
range = 24-10
= 14
3) mean:
[tex] \frac{14 + 9 + 20 + 5 + 17 + 13}{6} = \frac{78}{6} = 13[/tex]
median:
5, 9, 13, 14, 17, 20
*since there are 2 numbers at the centre, you need to add both numbers and divide it by 2 to get the median
[tex] \frac{13 + 14}{2} = 13.5[/tex]
mode:
no mode as all number occurs once only
range = 20-5
= 15
4) mean:
[tex] \frac{21 + 15 + 16 + 25 + 13 + 18}{6} = \frac{108}{6} = 18[/tex]
median:
13, 15, 16, 18, 21, 25
[tex] \frac{16 + 18}{2} = 17[/tex]
mode:
no mode
range = 25-13
= 12
5) mean:
[tex] \frac{20 + 17 + 10 + 31 + 25 + 18 + 12}{7} = \frac{133}{7} = 19[/tex]
median:
10, 12, 17, 18, 20, 25, 31
= 18
mode:
= no mode
range = 31-10
= 21
