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olchik [2.2K]
3 years ago
14

Find the mean ,median and mode of the weights of people shown

Mathematics
1 answer:
Alexandra [31]3 years ago
4 0

Answer:

(a)\ Mean = 80kg

(b)\ Median = 76kg

(c)\ Mode = 61kg

Step-by-step explanation:

Given

Data:105kg,  53kg  ,76kg  ,91kg  ,120kg  ,61kg  ,55kg  ,98kg  ,61kg

n = 9

Solving (a): The mean

This is calculated using:

\bar x = \frac{\sum x}{n}

\bar x = \frac{105kg+53kg +76kg +91kg +120kg +61kg +55kg +98kg +61kg}{9}

\bar x = \frac{720kg}{9}

\bar x = 80kg

Hence:

Mean = 80kg

Solving (b): The median

Data:105kg,  53kg  ,76kg  ,91kg  ,120kg  ,61kg  ,55kg  ,98kg  ,61kg

Arrange in ascending order

Data: 53kg ,55kg, 61kg ,61kg,76kg  ,91kg   ,98kg , 105kg,120kg

n = 9

So, the position of the median element is:

Median = \frac{n+1}{2}th

Median = \frac{9+1}{2}th

Median = \frac{10}{2}th

Median = 5th

The 5th element is 76kg

Hence:

Median = 76kg

Solving (c): The mode

In the given data

Mode = 61kg

Because it has a frequency of 2 (the highest), others have 1

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