## Textbook Answers – Averages and Range

July 31, 2016

Workout (The mode)

Question 1:

(a)  6             (b)  1            (c)  7              (d)  5             (e)  3

(f)  15            (g)  2.3        (h)  -1

Question 2:

(a)  44

(b)  Size 5

Question 3:

(a)  1

(b)  3

Question 3:

(a)  Hockey

(b)  30

(c)  7 more

Question 5

(b)  20

(c)  18/20  or  9/10

Workout (the median)

Question 1

(a)  5            (b)  7            (c)  5            (d)  6.5            (e)  6

(f)  0            (g)  30          (h)  34          (i)  6.6         (j)  139.5

Question 2

(a)  Toto

(b)  Fido

Question 3

(a)  1.83m

(b)  1.78m

Question 4:   5, 6, 7, 8, 9      7, 7, 7, 7, 7       6, 6, 7, 9, 100   etc

Question 5:  7, 8, 9, 10, 10, 11, 12, 13         3, 4, 5, 9, 11, 13, 19, 20  etc

Question 6:    3, 4, 5, 6       1, 3, 6, 120   etc

Question 7:  -5, -3, -1, 1, 4, 9      -20, -15, -4, 4, 9, 80    etc

Workout (the mean)

Question 1

(a) 7            (b)  6            (c)  2            (d)  5.5            (e)  26.5

(f)  7.2        (g)  1             (h)  2.3

Question 2

(a)  mean = 68               (b)  mode = 62            (c)  median = 67.5

Question 3:

(a)  mean = 62.3%

(b)  median = 67%

(c)  6 students scored above the mean mark.

Question 4: £180,200

Question 5:   13

Question 6:   9

Question 7:   1

Workout (the range)

Question 1:

(a)  8           (b)  4            (c)  15              (d)  80           (e)  7.3

(f)  5            (g)  14           (h)  8              (i)  31             (j)  28

(k)  23

Question 2:     11

Question 3:     5

Question 4:    3

Question 5:    114

Question 6:

(a)   range = 34           (b)  median = 21.5

Question 7:

(a)  range = 7 degrees           (b)  mean = -2 degrees

Apply

Question 1

(a)  mode =  10cm         (b)  median = 8cm

(c)  mean =  8cm           (d)  range = 9cm

Question 2: He should use the median

Question 3:

(a)  range = 6 kg          (b)  median = 10kg         (c)  mean = 10kg

Question 4:

(a)  median = 330ml    (b)  range = 4925ml

Question 5:  5 footballers have a height under 1.85m

Question 6:     8, 10, 10, 10, 12, 16, 18     etc   (Adds to 84 with range of 10).

Question 7:     3, 7, 7, 9, 12, 16

Question 8:     17  or  34

Question 9:     9 goals

Question 10:    1 car

Question 11:

(a)  median = £7.75               (b)   mean = £11.35

(c)  the median is most suitable, as there is an outlier of £50 which brings up the value of the mean.

Question 12:     6, 6, 8, 10, 12, 14

Question 13:     The four missing numbers are  7, 7, 10, 11