Abidemi Kusimo

You can make use of category popular tag to display most used tag on your blog. This will give list of frequently used tag anywhere you place the shortcode or funtion in your theme.
For example [popular_category_tags count=10 type=”popular-tags” category_id=”1″]. 
You can also call this function from your theme file: cush_category_popular_tag() for basic output.
When using the shortcode type is required. category id, count is not required. if no category id suplied, the plugin will default to current post category available. 
For example [popular_category_tags type=”popular-tags” ].
You can find category tags options under Settings page 
Settings -> Category Tags
Credit : (https://wordpress.stackexchange.com/questions/261617/display-most-popular-tags-of-category)

Category Popular Tags

Display popular tags on achieve/category page of your theme using sortcode or by calling a function.

plugmize

“WP-Ranking PRO” is a widget plugin with advanced features to display the ranking of popular articles in each elements and period on your blog.
<h4>Main Features</h4>
<ul>
<li>Time Range – It displays the ranking within the specified period of time.(eg. 24 h, 1 week, 1 month, 1 year, all, etc.)</li>
<li>Mobile-friendly – Make an aggregate individually in the PC and mobile(smartphone, tablet, etc.). Mobile accesses is distinguished by the user agent and a rank is made.</li>
<li>Ranking Cache – The ranking data has the ability to cache a certain period of time.</li>
<li>Shortcode support. – You can make your own page on ranking.</li>
<li>PHP code support. – By the specify the ranking information to be displayed in the PHP code, you can make any rankings page.</li>
<li>Multi-widget support.</li>
<li>Custom-widgets capable – Them rankings can freely customize title, characters, various articles, various categories, various tags, period, equipment or HTML tags, and more.</li>
<li>Display a thumbnail of your posts. It is possible to select a thumbnail to display.</li>
<li>Exclusion from the aggregation target. – You can exclude access from a particular environment from the aggregation target.(eg. the origin of access, HTTP referers, user agents, logged-in users.)</li>
<li>Custom Post-type support!</li>
</ul>
<h4>Other Features</h4>
<ul>
<li>Summary of rankings can be displayed on the dashboard (wp-admin).</li>
<li>Automatic clearance of log. – Data is accumulated by a data base, but I have the function from which the log which accumulated can be eliminated automatically.</li>
<li>Rebuild cache</li>
<li>Clear cache</li>
</ul>
<h4>There is following function.</h4>
<ul>
<li>Periods: 24 h, 1 week, 1 month, 1 year, all, and more</li>
<li>Exclusions: the origin of access, HTTP referers, user agents, logged-in users</li>
</ul>
<h3>Language support</h3>
<ul>
<li>Japanese</li>
<li>English</li>
</ul>

WP-Ranking PRO

"WP-Ranking PRO" totals a page view, and into which a popular article can be formed by various elements or periods.

Category Popular Tags vs WP-Ranking PRO