Pages77-78Mean, Median,Mode andRange

Thenumber which occurs the mostoften is 3.

b) (i) 2, 3, 3,4, 5, 6, 7 (ii) 7-2 = 5

(i) The median is in the middle: 432 + 40 + 25 +12+ 9+ 48 + 27 + 15 = 208

b) There are8 values, SO mean =208 : 8 = 26

a) 4 - 1 = 3

b) 1, 1, 1,2, 3, 4

Mode = 1The median is half-way between 1 and 2, so it's 1.5.Mean = (1+1+1+2+ 3 +4):6=12: 6=2

(i) The mean of the numbers is2.

The median of the numbers is 1.5.

Total = 3.2 + 6.8 + 7.2 + 5.3 + 4.4 + 5.5 = 32.4 gMean= 32.4 + 6 = 5.4g

b) (i) 7.2 - 3.2 - 4 g

(ii) Using the actual mass would make the rangesmaller since you're subtractinga bigger number.

a) Write the times in order (converting 1 hourto

60 minutes): 15, 26, 32, 45, 60So the median is 32minutes.

b) (i) Total = 15 + 26 + 32+45 + 60 = 178 minutes

Mean = 178 - 5 = 35.6 = 36 minutes(to the nearest minute)

(ii) On average, it took the second group longer thanit took the first group.Answer this question by comparing the means40 minutes is greater than 36 minutes.