How skewed is your distribution?Is there more than one clearly defined peak in your distribution? File Edit Windows HelpFREQUENCIES▸ FrequenciesN ValidMeanMedianModeMissingValid/VARIABLES- d9_sibs./FORMAT=AVALUE TABLE/STATISTICS-MEAN MODE MEDIAN/HISTOGRAM-NONORMAL.TotalFrequency0123&S7845689101112131415161718192021Missing DKΝΑ2425450-400-350-300-250200-150-100-50-StatisticsNUMBER OF BROTHERS AND SISTERS25316.793.743.002NUMBER OF BROTHERS AND SISTERSFrequency Percent Valid Percent Cumulative Percent3.4%18.6%19.4%17.9%11.2%8.4%5.9%4.8%3.0%2.3%1.8 %1.0%.5%.5%.4%.1%.3%086.733.4%470.5 18.5%490.9 19.3%453.0 17.8%282.311.1%212.78.4%150.25.9%122.64.8%75.233.0%58.232.3%45.031.8%25.381.0%.5%.5%.4%12.1312.4110.412.938.666.35.901.79.90.90.6945.1%.3%.3%.0%.1%.0%.0%.0%.0%.905.902538 100.0%.0%.2%HISTOGRAM.3%.0%.1%.0%.0%.0%.0%5 10NUMBER OF BROTHERS AND SISTERS15 20253.4%22.0%41.4%59.3%70.5%78.9%84.8%89.6%92.6%94.9%96.7%97.7%98.2%98.7%99.1%99.2%99.5%99.8%99.8%99.9%99.9%100.0%100.0%100.0%Mean3.74367Std Dev2.97213N = 2531

From the provided frequency distribution of the number of brothers and sisters, the output is summarized as follows:Number of brothers and sistersMean3.74Median3.00Mode2And the standard deviation (refer to "Std. Dev" on the right of the histogram), SD=2.97213.Part (a)The Karl Pearson's coefficient of skewness is calculated as follows:Sk=Mean-ModeSD=3.74−22.97213=0.585As the coefficient of skewness value is positive, i.e., Sk=0.585>0, the distribution is considered to be positively skewed.However, as the theoretical range of Sk is defined to be −3≤Sk≤3, and the calculated value of 0.585 lies within the values of 0.5 and 1, using the thumb rule, the given distribution is considered to be moderately positively skewed. Part (b)From the provided histogram, with visual observation a peak, i.e., the highest bar is observed for the corresponding horizontal axis value of 2.As all the remaining bars, that represent the respective frequencies of the horizontal axis value are observed to be smaller, as compared to other bars, a single peak is considered to have been clearly defined. Moreover, as the distribution of the bars is not considered to indicate any distinct groups of bars that are separated by a gap (s) with each group having a separate peak, the distribution is not considered to be bimodal or multimodal.(a) The distribution of the number of brothers and sisters is considered to be moderately positively (or right) skewed.(b) No, there is no more than one clearly defined peak is observed in the distribution.