<h3><u>Given </u><u>:</u><u>-</u></h3>
- We have given some information in the above table
<h3><u>To </u><u>Find </u><u>:</u><u>-</u></h3>
- We have to find the mean, median and mode of the given data.
<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u></h3>
<u>For </u><u>completion </u><u>of </u><u>table </u><u>you </u><u>should </u><u>know </u><u>the </u><u>basics </u><u>formulas </u><u>:</u><u>-</u>
- For calculating x( mid point)
<u>That </u><u>is</u><u>, </u>
[ For more calculation ,Please refer the attachment ]
- For calculating fx
- Multiply frequency and midpoint
[ For more calculation please refer the attachment ]
<h3><u>Now</u><u>, </u></h3>
We have to calculate mean, median and mode of the given data
<h3>
<u>For </u><u>mean </u></h3>
We know that the,
Mean = Sum of all observation / no. of observation
<u>That </u><u>is </u>
<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>
Hence, The mean of the given data is 9.65
<h3><u>For </u><u>Median </u></h3>
<u>We </u><u>know </u><u>that</u><u>,</u><u> </u><u>For </u><u>odd </u><u>numbers </u>
<u>Here, </u>
- Lower limit = 34
- c = 20
- f = 14
- h = 41 - 34 = 7
<u>Subsitute </u><u>the </u><u>required </u><u>values </u><u>in </u><u>the </u><u>above </u><u>formula </u><u>:</u><u>-</u>
Hence, The median of the given data is 36.5 .
<h3><u>For </u><u>Mode </u></h3>
<u>We </u><u>know </u><u>that</u><u>, </u>
- lower limit = 34
- f1 = 14
- fo = 12
- f2 = 12
- H = 7
<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>
<u>So</u><u>, </u>
Hence ,The mode of the given data is 37.5 .