Question

The five-number summary for the number of accounts managed by each sales manager at Force Inc. is shown in the following table. \text{Min}Minstart text, M, i, n, end text Q_1Q 1 ​ Q, start subscript, 1, end subscript \text{Median}Medianstart text, M, e, d, i, a, n, end text Q_3Q 3 ​ Q, start subscript, 3, end subscript \text{Max}Maxstart text, M, a, x, end text 353535 454545 505050 656565 858585 The five-number summary suggests that about 50\%50%50, percent of sales managers at Force Inc. manage fewer than what number of accounts?

Answer 1

The median is is the midpoint of the data. This means half is below 50 and half is above 50.

The answer would be they handle less than 50 accounts.

Answer 2

50% of sales managers at Force Inc. manages fewer than 50( = the median given) number of accounts.

Given that:

$Min = 35\\Q_1 = 45\\Median = 50\\Q_3 = 65\\Maximum = 85$

These 5 numbers summary tells the partition of data or quartiles with endpoints as minimum and maximum.

The median is a point for which the counts of data lying above it is equal to the counts of data lying below it.

Since the question asks about :

50% Sales managers manage < ? number of accounts

and since 50% of data lie below and above the median which is 50 given in the table.

Thus we have:

50% of the Sales manager at Force Inc. managing fewer than 50(the median given) number of accounts.

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