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Shkiper50 [21]
3 years ago
6

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
Mathematics
1 answer:
Marta_Voda [28]3 years ago
3 0

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

<u>Median</u>

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

<u>Mode</u>

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

Mode =7

<u>Range</u>

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.

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