Q. 69 - The Practice of Statistics for AP

Question

Here are the amounts of money (cents) in coins carried by 10 students in a statistics class:  $50, 35, 0, 97, 76, 0, 0, 87, 23, 65.$To make a stemplot of these data, you would use stems

(a) $0, 1, 2, 3, 4, 5, 6, 7, 8, 9.$

(b) $0, 2, 3, 5, 6, 7, 8, 9$

(c) $0, 3, 5, 6, 7.$

(d) $00, 10, 20, 30, 40, 50, 60, 70, 80, 90.$

(e) None of these.

Step-by-Step Solution

Answer

The answer is $0,1,2,3,4,5,6,7,8,9$

Step 1: Given information

The given data is :

$50, 35, 0, 97, 76, 0, 0, 87, 23, 65$

Theory used :

A stem and leaf plot looks something like a bar graph. Each number in the data is broken down into a stem and a leaf, thus the name. The stem of the number includes all but the last digit. The leaf of the number will always be a single digit.

Step 2: Explanation for correct option

The stems will be the digits that are tens,

$0,2,3,5, 6, 7, 8, 9$

It also comprises the value in between the other stems. 

All the stems are then :

$0, 1, 2, 3, 4, 5, 6, 7, 8, 9$

Step 3 : Explanation for incorrect option

(b)We wouldn't use stems $0, 2, 3, 5, 6, 7, 8, 9$

(c)We wouldn't use stems $0, 3, 5, 6, 7$

(d)We wouldn't use stems  $00, 10, 20, 30, 40, 50, 60, 70, 80, 90$

(e)We wouldn't use stems  'None of these'