Distributions of τ_cz/𝒯 for the glitch signature in the frequencies (left panels), second differences (middle panels), and r₀₁₀ ratios (right panels) for the Kepler star KIC6679371. The results for the r₀₁₀ ratios are converted from the measured t_cz with τ_cz = T₀ − t_cz, T₀ = 1/(2Δν) being the total acoustic radius of the star. The background grey histograms are obtained from the observations and the transparent coloured histograms (green, blue, and orange, from top to bottom) are obtained from the synthetic data. The top panels are obtained by a fit of the observed and synthetic data of Group 1 with the standard expressions (Eqs. 9, 10, 12). The bottom panels are obtained by a fit of the observed and synthetic data of Group 2 with the expressions that included the additional term (Eqs. 21 and 22). The red dashed vertical lines indicate the position of the BSCZ as inputted in the synthetic data. The black down arrows show the dominant peaks of the grey distributions shown in top panel.