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Chapter 1: Q54. (page 4)

Find the mean, median, and mode for each set of data.

{4,8,9,9,10,14,16}

Short Answer

Expert verified

Mean = 10

Median = 9

Mode = 9

Step by step solution

01

Step-1. Apply the concept of mean, median and mode.

  • Mean is the average of all the observations Mean=SumofalltheobservationsTotalnumberofobservations
  • The median is the middle value when a data set is ordered from least to greatest.
  • Mode is the number that occurs most often in the data set.
02

Step-2. Calculation of mean.

Given:

{4,8,9,9,10,14,16}

Mean=Sum鈥�of鈥�all鈥�the鈥�observationsTotal鈥�Number鈥�of鈥�observations鈬�Mean=4+8+9+9+10+14+167鈬�Mean=707=10

03

Step-3. Calculation of median.

Given:

{4,8,9,9,10,14,16}

Arrange the numbers of given set in ascending order:

4,8,9,9,10,14,16

So, the median is 7+12th=4thobservation

Therefore, the median is 9

04

Step-4. Calculation of mode.

Given:

{4,8,9,9,10,14,16}

Arrange the numbers of given set in ascending order:

4,8,9,9,10,14,16

Since 9 occurs most often, the mode is 9.

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