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Chapter 1: Q53. (page 4)

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

{10,11,18,24,30}

Short Answer

Expert verified

Mean = 18.6

Median = 18

No mode

Step by step solution

01

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

  • Mean is the average of all the observations
  • 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:

{10,11,18,24,30}

Mean=SumofalltheobservationsTotalnumberofobservations鈬�Mean=10+11+18+24+305鈬�Mean=935=18.6

03

Step-3. Calculation of median.

Given:

{10,11,18,24,30}

Arrange the numbers of given set in ascending order:

10,11,18,24,30

So, the median is 5+12rd=3rdobservation

Therefore, the median is 18

04

Step-4. Calculation of mode.

Given:

{10,11,18,24,30}

Since all the numbers occur just one time, there is no mode of this data set.

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