Question

The table below shows school T-shirt sales for the past ten weeks. The school wants to make one more order for the next 30 weeks. How could the school decide how many T-shirts to order?
Date:
Sept Sept Sep Oct Oct Oct Oct Oct Nov Nov
10 17 24 1 8 15 22 29 5 12
Sales:
7 50 8 9 10 12 7 7 9 11
1. What are the mean, median, mode, and range of the T-shirt data shown above?
2. Compare the mean, median, and mode. Which measure seems to best represent the ten numbers? Explain

Answer 1

Answer:

Mean =13, Median=9, Mode =7, Range=43

Step-by-step explanation:

$\left\begin{array}{c|cccccccccccc}Month&Sept &Sept& Sep& Oct& Oct &Oct &Oct &Oct &Nov& Nov\\Day&10 &17& 24& 1 &8& 15& 22& 29& 5 &12\\Sales&7 &50 &8& 9& 10& 12 &7& 7 &9& 11\end{array}\right$

(1)Mean

$Mean =\frac{\text{Sum of all the Sales}}{\text{Number of Sales}}$

$=\frac{7+50+8+9+10+12+7+7+9+11}{10}\\=\frac{130}{10} \\\bar x =13\\Mean=13$

Median

First we arrange the sales in ascending order

7,7,7,8,9,9,10,11,12,50

Since there are two terms in the middle, the Median =(9+9)/2 =9

Mode

The mode is the number of sales with the highest frequency.

Mode =7

Range

Range =Highest Value - Lowest value  =50-7=43

(b)Mean =13, Median=9, Mode =7, Range=43

The Median seems to best represent the ten numbers. this is as a result of the fact that the value of the Mean and range were affected by the outlier number(50).

The School should therefore order T-Shirts in the range of the Median.