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Zorluk: KolayDescriptive Statistics and Data Representations

An employee at a retail store recorded the number of hours they worked each day for one week in the table below.

DayHours Worked
Monday8
Tuesday2
Wednesday10
Thursday5
Friday3
Saturday7
Sunday7

What is the median number of hours worked per day for this week?

  1. A
    5
  2. B
    6
  3. 7Cevap
  4. D
    8
  5. E
    36

Cevap

The median number of hours worked per day for this week is 7.
The median of a set of data is the middle value when the numbers are arranged in order. Sorting the given hours worked from least to greatest gives: 2, 3, 5, 7, 7, 8, 10. Since there are 7 data points, the middle value is the 4th value, which is 7.

Adım Adım Çözüm

1
Arrange the daily hours worked in ascending order.
The sorted list of hours is: 2, 3, 5, 7, 7, 8, 10.
Finding the median of a data set requires organizing the values from least to greatest.
2
Identify the middle value in the ordered list of 7 values.
The 4th value in the sorted list is 7.
Since the data set has an odd number of values (7), the median is the single middle value, located at the 4th position.

Anahtar Kavram

The median of a data set is the middle value when the data are arranged in numerical order.
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