Question

Find the mean, median, mode and range for each set of numbers.

a. The salamanders have a competition to see how far they can jump.

The results are as follows:

Shawn Cedric Joshua Noah Timothy Saka

3.4m 4.6m 2.8m 4.4m 3.2m 2.8m

Mean:

Median:

Mode:

Range:

b. An ice cream van sells a range of different ice creams for 2 weeks.

This is the numbers of ice cream he manages to sell.

Week 1 : 87 75 95 102 109 61 85

Week 2 : 77 103 102 80 81 63 70

Mean:

Median:

Mode:

Range:

Answer 1

Answer:

a. Mean =3.53 (approx)

   Median = 3.3

   Mode=2.8

b. Mean = 85

   Median = 83

   Mode = 102

Step-by-step explanation:

a. Arranging in increasing order,

  2.8m, 2.8m, 3.2m, 3.4m, 4.4m, 4.6m

Mean = $\frac{Sum of values}{No. of values}$

          =(2.8+2.8+3.2+3.4+4.4+4.6) ÷ 6

          =21.2 ÷ 6  

Mean =3.53 (approx)

Median is the middle value,

Median = $\frac{3.2+3.4}{2}$

            =6.6  ÷ 2

Median = 3.3

Mode is the most frequently occurring

Mode=2.8

b.Arranging in increasing order,

 61,63,70,75,77,80,81,85,87,95,102,102,103,109

 Using the above formulae,

Mean = (61+63+70+75+77+80+81+85+87+95+102+102+103+109) ÷ 14

          = 1190 ÷ 14

Mean = 85

Median = $\frac{81+85}{2}$

            = 166 ÷ 2

Median = 83

Mode = 102