Question

200, 180, 150, 150, 130, 180, 180, 200, 150, 130, 180, 180, 200, 150, 180
Find the mean, median, mode and range of the above data.

Answer 1

Answer:

mean:-2540

median:-200

mode:-180

range:-highest-lowest marks

200-130

=70

Step-by-step explanation:

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Answer 2

Answer:

1) Mean = Sum of all observations/Total no. of observations

=> Mean, in this case =

$\frac{200 + 180 + 150 + 150 + 130 + 180 + 180 + 200 + 150 + 130 + 180 + 180 + 200 + 150 + 180}{15}$

=  $\frac{2540}{15}$

=  169.3

2) Median:

Firstly, arrange the given data in ascending order

i.e. 130, 130, 150, 150, 150, 150, 180, 180, 180, 180, 180, 180, 200, 200, 200

Now, since total no. of observations is odd, median = $(\frac{n+1}{2} )^{th}$ term

=> median = $\frac{15+1}{2}$

= $\frac{16}{2}$   =  $8^{th} term$, i.e. 180

3) Mode = most recurring (repeating) term

=> Mode, in this case = 180

{as it is repeating the most}

4) Range of data = highest observation - lowest observation

=> Range, in this case = 200 - 130 = 70

Hence, mean, median, mode and range of the above data is 169.3, 180, 180, 70 respectively.

Hope it helps.