How to find the period between group of regularly spaced hot-spots?

I have a group of numbers with values enriched at uniformly regularly spaced hot-spots.

There is no other information available.

How to get the estimated length of the space between these hot-spots?

For this example, the interval is about 128.

Answer 1

[raym]

[a,aBinCenter] = hist(Data,1000);

a_gauss = imgaussfilt(imgaussfilt(imgaussfilt(a,10),10),10);

[Ypk,Xpk] = findpeaks(a_gauss);

aGapEstimation = mean(diff(Xpk))*(aBinCenter(2)-aBinCenter(1));

Answer 2

[Walter Roberson]

Approximate_gap = mean(diff(find(abs(diff(YourSignal)) > TOLERANCE)));