Ogive gives no help in the extinction of:

Formula Used:

Ogive is a graphical representation of cumulative frequency distribution.

Explantion:

Median: Can be determined graphically from the intersection of the less than and more than ogives, or from a single ogive by locating the value corresponding to N/2 on the cumulative frequency axis.

Percentile: Can be determined graphically from the ogive by locating the value corresponding to the desired percentile on the cumulative frequency axis.

Mode: Ogive represents cumulative frequencies, not individual frequencies directly.

Therefore, the mode (the value with the highest frequency) cannot be determined directly from an ogive.

Percentile Rank: Can be determined graphically from the ogive by locating the value on the horizontal axis and finding its corresponding cumulative frequency, which can then be converted to a percentile rank.

∴ Ogive gives no direct help in the estimation of Mode.

Hence, the correct answer is "option 3".

 Additional Information

1) Median: The median can be easily estimated from an ogive. To find the median, locate N/2 on the cumulative frequency (y-axis), draw a horizontal line to the ogive, and then draw a vertical line down to the x-axis. The value on the x-axis is the estimated median.

2) Percentile: Any percentile can be estimated from an ogive. For the P^th percentile, locate (P/100) × N on the cumulative frequency (y-axis), draw a horizontal line to the ogive, and then draw a vertical line down to the x-axis. The value on the x-axis is the estimated P^th percentile.

4) Percentile Rank: The percentile rank of a given value can be estimated from an ogive. Locate the value on the x-axis, draw a vertical line up to the ogive, and then draw a horizontal line to the cumulative frequency (y-axis). Convert this cumulative frequency to a percentage to find the percentile rank.