Is that the mode?

Algebra Level pending

Class Interval 0 − 1 1 − 2 2 − 3 3 − 4 4 − 5 5 − 6 6 − 7 7 − 8 Frequency 5 10 5 5 10 5 15 15 \begin{array}{l|c|c|c|c|c|c|c|c}\textrm{Class Interval}&0-1&1-2&2-3&3-4&4-5&5-6&6-7&7-8 \\ \hline \textrm{Frequency}&5&10&5&5&10&5&15&15\end{array}

Can you find the mode of the data above? If x x is the mode, enter your answer as the value of ⌈ x ⌉ \left\lceil x\right\rceil .

Details and Assumptions:


The answer is 6.

Viki Zeta by Viki Zeta , 19, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Viki Zeta
Jun 25, 2016

In this question, there you cannot actually find the mode using any special formulas for mode. Since there is 2 Items that repeats in higher frequency. So, let's use the empirical formula for mode,

ie M o d e = 3 M e d i a n − 2 M e a n Mode = 3 Median - 2 Mean

Median in here when you find cumulative frequency and use formula you'll get 5

Similarly finding mean using any suitable formula gives you 4.714

Substituting mean and Median in mode formula gives you

M o d e = 3 ∗ 5 − 2 ∗ 4.714 = 15 − 9.428 = 5.572 So, your mode will be 6 Mode = 3*5 - 2*4.714 = 15 - 9.428 = 5.572 \\ \text{ So, your mode will be 6}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...