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The given double stem-and-leaf plots show the number of customers in two popular pizzerias in the town over a 10-day period.

Giavano's:
- 1 | 2 3 6
- 3 | 9
- 2 | 4 6
- 4 | 1 1 3

Brick Oven:
- 3 | 1
- 2 | 5 7 8 8
- 1 | 3 1 9
- 3 | 9

The mean absolute deviation for each pizzeria is approximately 10. Approximately how many times the mean absolute deviation is the difference between the means of the data sets?

A. 21.1
B. 6
C. 4.2
D. 2.1

Answer :

The number of times the mean absolute deviation is difference from the means of the data sets would be = 2.1. That is option C.

How to calculate the difference between the two means?

To calculate the difference between the two means, the following steps should be taken as follows:

First, calculate the mean of Giavano's Brick Oven by adding all the customers and dividing by the number of days.

31+32+33+36+42+44+46+52+63+68/10 = 447/10 = 44.7

Secondly, calculate the mean of Brick Oven by adding all the customers and dividing by the number of days.

58+58+66+69+74+77+78+79/10= 655/10 = 65.5

Calculate the difference between the means of the two pizzerias.

65.5-44.7 = 20.8

Since the mean absolute deviation for each pizzeria is approximately 10, we divide the difference between the means by the mean absolute deviation to find out how many times the mean absolute deviation is the difference between the means of the data sets.

20.8/10 = 2.1

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Rewritten by : Barada