The table below shows the sales of a product ($) over 30 days period. 45 82 62 58 49 67 64 59 83 58 48 41 45 54 45 88 52 82 67 71 71 77 41 71 62 52 58 46 45 88 a) Plot a histogram using the above data. [15 Marks] b) Use the above information to compute: The mean [5 Marks] ii. The median [5 Marks] 111. The mode [2 Marks] iv . The range [3 Marks]

Mean: 59.37

Median: 58.5

Mode: 45

Range: 47

Step-by-step explanation

i. Mean

Add all the numbers given and divide by total number of scores given. 

1781÷30=59.37

ii. Arrange all the numbers in ascending order. Since the given data has a total of 30 which is even, get the two middlemost scores and divide by 2. 

58 and 59 are the middlemost score

So 58+59=117, 117÷2= 58.5

iii. Mode

The number that appears most frequently is the mode. In this case, 45 appeared 4 times so this is the Mode of the scores.

iv. Range

Just get the difference between the highest score and lowest score, that is the range. 

88-41=47