The problem presents exam scores for two classes. One class uses a point-and-click software program, and the other uses a basic programming language. We need to analyze the data (presumably to determine if there is a statistically significant difference between the two groups, but the exact task is not specified). Since a specific task is not mentioned, I will compute the sample means and sample standard deviations for each group.

1. Problem Description

The problem presents exam scores for two classes. One class uses a point-and-click software program, and the other uses a basic programming language. We need to analyze the data (presumably to determine if there is a statistically significant difference between the two groups, but the exact task is not specified). Since a specific task is not mentioned, I will compute the sample means and sample standard deviations for each group.

2. Solution Steps

First, list the scores for each group:

Point-and-Click: 82, 82, 62, 77, 84, 82, 76, 61, 65, 75, 98, 62, 92, 68, 56

Programming: 86, 79, 100, 74, 70, 67, 83, 85, 74, 86, 87, 61, 76, 100

Next, we calculate the mean for each group.

The formula for the sample mean $\bar{x}$ is:

$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}$

For the Point-and-Click group, $n_1 = 15$:

$\bar{x}_1 = \frac{82+82+62+77+84+82+76+61+65+75+98+62+92+68+56}{15} = \frac{1102}{15} \approx 73.47$

For the Programming group, $n_2 = 14$:

$\bar{x}_2 = \frac{86+79+100+74+70+67+83+85+74+86+87+61+76+100}{14} = \frac{1108}{14} \approx 79.14$

Next, calculate the standard deviation for each group.

The formula for the sample standard deviation $s$ is:

$s = \sqrt{\frac{\sum_{i=1}^{n} (x_i - \bar{x})^2}{n-1}}$

For the Point-and-Click group:

$s_1 = \sqrt{\frac{(82-73.47)^2 + (82-73.47)^2 + (62-73.47)^2 + (77-73.47)^2 + (84-73.47)^2 + (82-73.47)^2 + (76-73.47)^2 + (61-73.47)^2 + (65-73.47)^2 + (75-73.47)^2 + (98-73.47)^2 + (62-73.47)^2 + (92-73.47)^2 + (68-73.47)^2 + (56-73.47)^2}{15-1}}$

$s_1 = \sqrt{\frac{72.7609+72.7609+131.5969+12.4609+110.8809+72.7609+6.3009+155.5009+71.7409+2.3409+591.2409+131.5969+343.2409+30.0209+305.1809}{14}} = \sqrt{\frac{2237.4415}{14}} \approx \sqrt{159.81725} \approx 12.64$

For the Programming group:

$s_2 = \sqrt{\frac{(86-79.14)^2 + (79-79.14)^2 + (100-79.14)^2 + (74-79.14)^2 + (70-79.14)^2 + (67-79.14)^2 + (83-79.14)^2 + (85-79.14)^2 + (74-79.14)^2 + (86-79.14)^2 + (87-79.14)^2 + (61-79.14)^2 + (76-79.14)^2 + (100-79.14)^2}{14-1}}$

$s_2 = \sqrt{\frac{47.0596+0.0196+435.7296+26.4196+83.5396+147.3796+14.8996+34.3396+26.4196+47.0596+61.7796+328.9996+9.8596+435.7296}{13}} = \sqrt{\frac{1679.2544}{13}} \approx \sqrt{129.1734} \approx 11.37$

3. Final Answer

Point-and-Click: Mean $\approx 73.47$, Standard Deviation $\approx 12.64$

Programming: Mean $\approx 79.14$, Standard Deviation $\approx 11.37$