Calculating the Median of a Data Set
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12. For a 10-day period, a bank kept track of the number of new accounts opened each day. The results are shown in the table below. What is the median number of accounts opened per day during this 10-day period? [Table: Day: May 7, Accounts: 6; Day: May 8, Accounts: 2; Day: May 9, Accounts: 7; Day: May 10, Accounts: 5; Day: May 11, Accounts: 4; Day: May 14, Accounts: 4; Day: May 15, Accounts: 8; Day: May 16, Accounts: 6; Day: May 17, Accounts: 4; Day: May 18, Accounts: 7] A. 5 B. 5.3 C. 5.5 D. 6 E. 6.7
This question includes visual content: A table with two sets of columns listing 'Day' and 'Accounts'. The left side lists May 7 through May 11 with corresponding account values (6, 2, 7, 5, 4). The right side lists May 14 through May 18 with corresponding account values (4, 8, 6, 4, 7). There are multiple choice radio buttons labeled A, B, C, D, E corresponding to numerical values.
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Step by Step Written Solution
Hi Rebec, let's solve this together. The problem asks us to find the median number of new accounts opened per day over a ten-day period, using the data provided in the table.
Step 1: List and Sort the Data
First, let's write down the number of accounts opened each day directly from the table.
Daily Accounts Opened:
To find the median, we need to arrange these ten numbers in ascending order, from smallest to largest.
Sorted Data:
Since we have a total of ten data points, which is an even number, the median is the average of the two middle values.
Step 2: Calculate the Median
For $N = 10$ values, the median is the average of the 5th and 6th values.
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